index int64 0 999 | image stringlengths 4.4k 871k | question stringlengths 189 2.04k | answer stringclasses 4
values | category stringclasses 6
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values | embedding listlengths 4.1k 4.1k |
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800 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAC8AiYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Your firm needs to haul granite blocks up a slope out of a quarry and to lower dirt into the quarry to fill the holes. You design a system in which a granite block on a cart with steel wheels (weight \( w_1 \), including both block and cart) is pulled uphill on steel rails by a dirt-filled bucket (weight \( w_2 \), inc... | B | Mechanics | Dynamics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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801 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIQAeoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | An iceboat is at rest on a frictionless horizontal surface as shown in figure. Due to the blowing wind, 4.0 s after the iceboat is released, it is moving to the right at 6.0 m/s (about 22 km/h, or 13 mi/h). What constant horizontal force \( F_{\mathrm{W}} \) does the wind exert on the iceboat? The combined mass of iceb... | B | Mechanics | Dynamics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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802 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHQArYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | An elevator and its load have a combined mass of \( 800 \mathrm{kg} \) as shown in figure. The elevator is initially moving downward at \( 10.0 \mathrm{m/s} \); it slows to a stop with constant acceleration in a distance of \( 25.0 \mathrm{m} \). What is the tension \( T \) in the supporting cable while the elevator is... | B | Mechanics | Dynamics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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803 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAG+AuwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A woman stands on a bathroom scale while riding in the elevator as shown in figure, The elevator is initially moving downward at \( 10.0 \mathrm{m/s} \); it slows to a stop with constant acceleration in a distance of \( 25.0 \mathrm{m} \). While the elevator is moving downward with decreasing speed, what is the reading... | B | Mechanics | Dynamics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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804 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGWAiYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | You push a food tray through the cafeteria line with a constant force. The tray pushes a milk carton as shown in figure. The tray and carton slide on a horizontal surface so greasy that friction can be ignored. Find the the horizontal force that the tray exerts on the carton.Please directly answer the question and pr... | B | Mechanics | Dynamics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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805 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEOAX4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Figure shows an air-track glider with mass \( m_1 \) moving on a level, frictionless air track in the physics lab. The glider is connected to a lab weight with mass \( m_2 \) by a light, flexible, nonstretching string that passes over a stationary, frictionless pulley. Find the tension in the string.Please directly ans... | B | Mechanics | Dynamics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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806 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAE0AawDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A sled with a mass of \( 25.0 \mathrm{kg} \) rests on a horizontal sheet of essentially frictionless ice. It is attached by a \( 5.00 \mathrm{m} \) rope to a post set in the ice. Once given a push, the sled revolves uniformly in a circle around the post as shown in figure If the sled makes five complete revolutions ... | B | Mechanics | Dynamics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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807 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAH0Aa4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | An inventor designs a pendulum clock using a bob with mass \( m \) at the end of a thin wire. Instead of swinging back and forth, the bob is to move in a horizontal circle at constant speed as shown in figure. Find the period \( T \) (the time for one revolution of the bob).Please directly answer the question and provi... | B | Mechanics | Dynamics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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808 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKuAeADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The 200 kg steel hammerhead of a pile driver is lifted above the top of a vertical I-beam being driven into the ground as shown in figure. The hammerhead is then dropped, driving the I-beam cm deeper into the ground. The vertical guide rails exert a constant 60 N friction force on the hammerhead. Find the average force... | B | Mechanics | Dynamics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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809 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHAAcQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | At a family picnic you are appointed to push your obnoxious cousin Throckmorton in a swing as shown in figure His weight is \( w \), and you push Throcky until the chains make an angle with the vertical. To do this, you exert a varying horizontal force that starts at zero and gradually increases just enough that Throck... | B | Mechanics | Work and Energy | ['Physical Model Grounding Reasoning', 'Numerical Reasoning'] | [
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810 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGyAdADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | You throw a baseball straight up Find how high it goes, ignoring air resistance.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 23.1m B: 20.4m C: 27.2m D: 16.5m | B | Mechanics | Kinematics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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811 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHqArADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Your cousin Throckmorton skateboards from rest down a curved, frictionless ramp. If we treat Throcky and his skateboard as a particle, he moves through a quarter-circle as shown in figure. Throcky and his skateboard have a total mass of 25.0 kg. Find his speed at the bottom of the ramp.Please directly answer the questi... | B | Mechanics | Work and Energy | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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812 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHgApgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | We want to slide a 12 kg crate up a ramp inclined. A worker, ignoring friction, calculates that he can do this by giving it an initial speed at the bottom and letting it go. But friction is \textit{not} negligible; the crate slides up the ramp, stops, and slides back down as shown in figure. How fast is the crate movin... | B | Mechanics | Work and Energy | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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813 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADEApYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A glider sits on a frictionless, horizontal air track, connected to a spring. You pull on the glider, stretching the spring, and release it from rest as shown in figure. The glider moves back toward its equilibrium position (\( x = 0 \)). What is its \( x \)-velocity when \( x = 0.080 \) m?Please directly answer the qu... | B | Mechanics | Work and Energy | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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814 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKiA2QDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A elevator with broken cables in a test rig is falling when it contacts a cushioning spring at the bottom of the shaft. The spring is intended to stop the elevator as shown in figure. During the motion a safety clamp applies a constant 17,000 N friction force to the elevator. What is the necessary force constant \( k \... | B | Mechanics | Work and Energy | ['Multi-Formula Reasoning', 'Physical Model Grounding Reasoning'] | [
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815 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAMMA1QDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Figure shows a ballistic pendulum, a simple system for measuring the speed of a bullet. A bullet makes a completely inelastic collision with a block of wood, which is suspended like a pendulum. After the impact, the block swings up to a maximum height. What is the initial speed \( v_1 \) of the bullet?Please directly a... | B | Mechanics | Momentum and Collisions | ['Multi-Formula Reasoning', 'Physical Model Grounding Reasoning'] | [
0.01470947265625,
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816 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIsAzIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Figure shows an elastic collision of two pucks on a frictionless air-hockey table. Puck A has an initial velocity in the positive \( x \)-direction and a final velocity in an unknown direction \( \alpha \). Puck B is initially at rest. Find the final speed \( v_{\text{B2}} \) of puck B.Please directly answer the questi... | B | Mechanics | Momentum and Collisions | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.0191650390625,
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817 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEqA6oDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | James and Ramon are apart on a frozen pond. Midway between them is a mug of their favorite beverage as shown in figure. They pull on the ends of a light rope stretched between them. When James has moved 6.0 m toward the mug, how far has Ramon moved?Please directly answer the question and provide the correct OPTION LETT... | B | Mechanics | Momentum and Collisions | ['Spatial Relation Reasoning', 'Physical Model Grounding Reasoning'] | [
0.029296875,
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818 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFGA2ADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | You are designing an airplane propeller as shown in figure. The speed of the propeller tips through the air must not exceed \( 270 \text{ m/s} \). (This is about \( 80\% \) of the speed of sound in air. If the propeller tips moved faster, they would produce a lot of noise.) What is the maximum possible propeller radius... | B | Mechanics | Rotational Motion | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.027587890625,
0.0031585693359375,
0.01324462890625,
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0.01806640625,
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0.007415771484375,
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0.059814453125,
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819 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHKA3IDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A machine part as shown in figure consists of three small disks linked by lightweight struts. What is the body's kinetic energy if it rotates about axis 1 with angular speed \( \omega = 4.0 \text{ rad/s} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 0... | B | Mechanics | Rotational Motion | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
0.016845703125,
0.0191650390625,
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0.005706787109375,
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0... |
820 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFcApYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | We wrap a light, nonstretching cable around a solid cylinder that rotates in frictionless bearings about a stationary horizontal axis as shown in figure. We pull the free end of the cable with a constant force for a distance; it turns the cylinder as it unwinds without slipping. The cylinder is initially at rest. Find ... | B | Mechanics | Rotational Motion | ['Multi-Formula Reasoning', 'Physical Model Grounding Reasoning'] | [
0.0361328125,
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0.04150390625,
0.01806640625,
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821 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIAAaADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | We wrap a light, nonstretching cable around a solid cylinder. The cylinder rotates with negligible friction about a stationary horizontal axis. We tie the free end of the cable to a block and release the block from rest at a distance above the floor as shown in figure. As the block falls, the cable unwinds without stre... | B | Mechanics | Rotational Motion | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.0185546875,
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0.000732421875,
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822 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJKArQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Figure shows a hollow cylinder of uniform mass density \( \rho \). (It might be a steel cylinder in a printing press.) Find its moment of inertia about its axis of symmetryPlease directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \(\frac{1}{3}M(R_1^2 + R_2^2) \) B: \(\... | B | Mechanics | Rotational Motion | ['Physical Model Grounding Reasoning', 'Numerical Reasoning'] | [
0.03271484375,
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0.00262451171875,
0.0016632080078125,
0.03125,
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0.0230712890625,
0.003509521484375,
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0.0159912109375,
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823 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAF4AmQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | To loosen a pipe fitting, a plumber slips a piece of scrap pipe (a ``cheater'') over his wrench handle. He stands on the end of the cheater as shown in figure. Find the magnitude and direction of the torque he applies about the center of the fitting.Please directly answer the question and provide the correct OPTION LET... | B | Mechanics | Rotational Motion | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
0.02099609375,
0.023193359375,
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0.013916015625,
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824 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAICAZgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A primitive yo-yo has a massless string wrapped around a solid cylinder as shown in figure. You hold the free end of the string stationary and release the cylinder from rest. The string unwinds but does not slip or stretch as the cylinder descends and rotates. Find the speed \( v_{cm} \) of the cylinder's center of mas... | B | Mechanics | Rotational Motion | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.01263427734375,
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0.005859375,
0.00445556640625,
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0.0091552734375,
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0.01708984375,
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825 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAE2AcQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A bowling ball of mass \( M \) rolls without slipping down a ramp as shown in figure. What are the magnitude of the friction force on the ball? Treat the ball as a uniform solid sphere, ignoring the finger holes.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A:... | B | Mechanics | Dynamics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.00078582763671875,
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0.002593994140625,
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826 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAMyA2gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Figure shows two disks: an engine flywheel (A) and a clutch plate (B) attached to a transmission shaft. Initially, they are rotating in the same direction, respectively. We push the disks together with forces acting along the axis, so as not to apply any torque on either disk. The disks rub against each other and event... | B | Mechanics | Rotational Motion | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.010986328125,
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827 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJ4Ax4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A door can rotate freely about a vertical axis through its hinges. A bullet strikes the door as shown in figure, in a direction perpendicular to the plane of the door, and embeds itself there. Find the door's angular speed.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D.... | B | Mechanics | Momentum and Collisions | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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828 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAC+Ar4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Cleveland is \(300\,\mathrm{miles}\) east of Chicago. A plane leaves Chicago flying due east at \(500\,\mathrm{mph}\). The pilot forgot to check the weather and doesn't know that the wind is blowing to the south at \(50\,\mathrm{mph}\). What is the plane's ground speed?Please directly answer the question and provide th... | B | Mechanics | Kinematics | ['Spatial Relation Reasoning', 'Multi-Formula Reasoning'] | [
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0.00909423828125,
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0.02734375,
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829 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAG4AjADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The position-versus-time graph of figure represents the motion of two students on roller blades. Determine their velocities. Determine student A's velocity.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 4.4m/s B: 5.0m/s C: 2.0m/s D: 3.0m/s | B | Mechanics | Kinematics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
0.026123046875,
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830 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEEA3IDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Bob leaves home in Chicago at 9:00 A.M. and travels east at a steady 60 mph. Susan, 400 miles to the east in Pittsburgh, leaves at the same time and travels west at a steady 40 mph. How many miles east of Chicago will they meet for lunch?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.... | B | Mechanics | Kinematics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.000812530517578125,
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831 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFEASwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the strength of the electric field at the position indicated by the dot? What is the strength of the electric field at the position indicated by the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.3 \times 10^{3}N/C B: 5.3 \times 10^{3}N/C C: 1.... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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832 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAH4AgIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the magnitude of the strength of the electric field at the position indicated by the dot? What is the magnitude of the strength of the electric field at the position indicated by the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.3 \times 10^{5... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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833 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGEApYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the magnitude of the strength of the electric field at the position indicated by the dot? What is the magnitude of the strength of the electric field at the position indicated by the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.3 \times 10^{5... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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0.00659179... |
834 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHCAuIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the magnitude of the strength of the electric field at the position indicated by the dot? What is the magnitude of the strength of the electric field at the position indicated by the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.3 \times 10^{5... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
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0.0... |
835 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEKAzYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Figure shows a thin rod of length L with total charge Q. Evaluate \( E \) at \( r = 3.0\,\mathrm{cm} \) if \( L = 5.0\,\mathrm{cm} \) and \( Q = 3.0\,\mathrm{nC} \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.3 \times 10^{5}N/C B: 5.3 \times 10^{4}N/C C... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Numerical Reasoning'] | [
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836 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFcAZ4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | An electron is launched at a angle and a speed of \( 5.0 imes 10^6\,\mathrm{m/s} \) from the positive plate of the parallel-plate capacitor shown in figure.. What is the electric field strength inside the capacitor?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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837 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFIAbIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The two parallel plates in figure are apart and the electric field strength between them is \( 1.0 imes 10^4\\,\\mathrm{N/C} \). An electron is launched at a angle from the positive plate. What is the maximum initial speed \( v_0 \) the electron can have without hitting the negative plate?Please directly answer the qu... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.0263671875,
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838 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHoAggDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A problem of practical interest is to make a beam of electrons turn a \( 90^\circ \) corner. This can be done with the parallel-plate capacitor shown in figure. An electron with kinetic energy \( 3.0 imes 10^{-17}\\,\\mathrm{J} \) enters through a small hole in the bottom plate of the capacitor. What strength electric... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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839 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHSAmgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Your physics assignment is to figure out a way to use electricity to launch a small plastic drink stirrer. You decide that you'll charge the little plastic rod by rubbing it with fur, then hold it near a long, charged wire, as shown in figure. When you let go, the electric force of the wire on the plastic rod will shoo... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.032470703125,
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840 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJYAvIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The cube contains negative charge. The electric field is constant over each face of the cube. What strength must this field exceed?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 4N/C B: 15N/C C: 5.6N/C D: 5N/C | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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841 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJgAp4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The cube contains negative charge. The electric field is constant over each face of the cube. What strength must this field exceed?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: -4N/C B: -15N/C C: -5.6N/C D: -5N/C | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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842 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKWAr4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The cube contains negative charge. The electric field is constant over each face of the cube. What strength must this field exceed?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 4N/C B: 15N/C C: 5.6N/C D: 5N/C | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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843 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIAArgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the electric flux through the surface? What is the electric flux through the surface?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.2N m^2/C B: 10N m^2/C C: 2N m^2/C D: 1N m^2/C | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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844 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAH0AsYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the electric flux through the surface? What is the electric flux through the surface?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: -1.2N m^2/C B: -10N m^2/C C: -2N m^2/C D: -2.3N m^2/C | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
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845 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIqBCoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The electric flux through the surface shown in figure is \( 25\,\mathrm{N\,m^2/C} \). What is the electric field strength?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.3 \times 10^{3}N/C B: 5.3 \times 10^{4}N/C C: 1.0 \times 10^{5}N/C D: 1.4 \times 10^{3}... | D | Electromagnetism | Electrostatics | ['Spatial Relation Reasoning', 'Multi-Formula Reasoning'] | [
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846 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEcAtQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the net electric flux through the cylinder? What is the net electric flux through the cylinder?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: -1.2N m^2/C B: -10N m^2/C C: -2N m^2/C D: 0N m^2/C | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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847 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHIAuADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the net electric flux through the torus? What is the net electric flux through the torus?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 120N m^2/C B: -100N m^2/C C: 200N m^2/C D: -110N m^2/C | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning'] | [
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848 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGqAxQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the net electric flux through the cylinder? What is the net electric flux through the cylinder?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 120N m^2/C B: -100N m^2/C C: 200N m^2/C D: 110N m^2/C | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning'] | [
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849 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFgAloDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The conducting box in figure has been given an excess negative charge. The surface density of excess electrons at the center of the top surface is \( 5.0 imes 10^{10} \) electrons/m\(^2\). What are the electric field strengths \( E_1 \) to \( E_3 \) at points 1 to 3?Please directly answer the question and provide the ... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
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850 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAL6Av4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The figure shows four sides of a cube. What is the net flux through these four sides?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 80N m^2/C B: 10N m^2/C C: 20N m^2/C D: 0N m^2/C | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
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851 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGYAswDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Find the electric fluxe through surface 3. Find the electric fluxe through surface 3.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 80N m^2/C B: 10N m^2/C C: 20N m^2/C D: 0N m^2/C | D | Electromagnetism | Electrostatics | ['Spatial Relation Reasoning', 'Physical Model Grounding Reasoning'] | [
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852 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAK+A7QDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The figure shows a solid metal sphere at the center of a hollow metal sphere. What is the total charge on the inside surface of the hollow sphere?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 80C B: 10C C: 20C D: 0C | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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853 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHCAzYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Three electrons are spaced 1.0 mm apart along a vertical line. The outer two electrons are fixed in position. If the center electron is displaced horizontally by a small distance, what will its speed be when it is very far away?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, ... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.037353515625,
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854 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHmAuwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The electrons are fixed and cannot move. What is the electric potential energy of the proton?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.2 \times 10^{19}J B: -1.2 \times 10^{19}J C: 2.2 \times 10^{19}J D: -2.2 \times 10^{19}J | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
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855 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAH+AZwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the electric potential energy of the group of charges? What is the electric potential energy of the group of charges?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.2 \times 10^{19}J B: -1.2 \times 10^{19}J C: 2.2 \times 10^{19}J D: 0J | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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856 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGyAg4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The figure shows the potential energy of an electric dipole. Consider a dipole that oscillates between \( \pm 60^\circ \). What is the dipole's kinetic energy when it is aligned with the electric field?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.1\mu\ma... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.029541015625,
0.01434326171875,
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0.0238037109375,
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857 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHoAc4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the electric potential at point C? What is the electric potential at point C?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1100V B: 1600V C: 800V D: 900V | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
0.048095703125,
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858 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAISAbIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the electric potential at the point indicated with the dot? What is the electric potential at the point indicated with the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1100V B: 1600V C: 800V D: 1800V | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.0498046875,
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859 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHgAgoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the electric potential at the point indicated with the dot? What is the electric potential at the point indicated with the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: -1100V B: 1600V C: -800V D: -1600V | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
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860 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJMAiADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The electric potential at the dot in figure is 3140 V. What is charge q?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 12nC B: 14nC C: 20nC D: 10nC | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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861 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHCAfwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Two point charges \( q_a \) and \( q_b \) are located on the \( x \)-axis. figure is a graph of \( E_x \), the \( x \)-component of the electric field. What is the ratio \( \left| q_a / q_b \right| \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.2 B: 1.4... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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862 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEaAgoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Two point charges \( q_a \) and \( q_b \) are located on the \( x \)-axis. figure is a graph of \( E_x \), the \( x \)-component of the electric field. What is the ratio \( \left| q_a / q_b \right| \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.2 B: 1.4... | D | Electromagnetism | Electrostatics | ['Numerical Reasoning', 'Physical Model Grounding Reasoning'] | [
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863 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEyAgwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The two halves of the rod in figure are uniformly charged to \( \pm Q \). What is the electric potential at the point indicated by the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.2V B: 1.4V C: 2V D: 0V | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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864 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHiAbgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The four 1.0 g spheres shown in the figure are released simultaneously and allowed to move away from each other. What is the speed of each sphere when they are very far apart?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.59m/s B: 1.49m/s C: 0.19m/s D: 0.4... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
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865 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAH6AewDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A proton’s speed as it passes point A is 50,000 m/s. It follows the trajectory shown in the figure. What is the speed of the proton at point B?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.59\times 10^{5}m/s B: 1.49\times 10^{5}m/s C: 0.19\times 10^{5}m/s... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Predictive Reasoning'] | [
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866 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHAAcADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | In the figure, a proton is fired with a speed of 200,000 m/s from the midpoint of the capacitor toward the positive plate. What is the proton’s speed as it collides with the negative plate?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.59\times 10^{5}m/s B... | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Predictive Reasoning'] | [
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867 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFIAjwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The figure shows two uniformly charged spheres. How much higher is b's potential compared to a?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.2V B: 140V C: 2000V D: 2100V | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
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868 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIwAp4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The figure is a graph of \( E_{x} \). What is the potential difference between \( x_{i} = 1.0 \ \mathrm{m} \) and \( x_{f} = 3.0 \ \mathrm{m} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 120V B: -140V C: -2000V D: -200V | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Numerical Reasoning'] | [
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869 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHmAsgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The figure is a graph of \( E_{x} \). The potential at the origin is \( -50 \ \mathrm{V} \). What is the potential at \( x = 3.0 \ \mathrm{m} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 120V B: -140V C: -2000V D: -200V | D | Electromagnetism | Electrostatics | ['Numerical Reasoning', 'Physical Model Grounding Reasoning'] | [
0.043701171875,
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0.00927734375,
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0.001708984375,
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0.017578125,
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0.01007080078125,
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870 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGoAfYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the magnitude of the electric field at the dot? What is the magnitude of the electric field at the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 10kV/m B: 15kV/m C: 25kV/m D: 20kV/m | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.026123046875,
0.00872802734375,
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0.01214599609375,
0.0145263671875,
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0.01300048828125,
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871 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKAAtIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the magnitude of the electric field at the dot? What is the magnitude of the electric field at the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 10kV/m B: 15kV/m C: 25kV/m D: 20kV/m | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
0.027099609375,
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0.0128173828125,
0.0126953125,
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0.015625,
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872 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAG0AroDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the potential difference \( \Delta V_{34} \)? What is the potential difference \( \Delta V_{34} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 12V B: -14V C: -200V D: -20V | D | Electromagnetism | Electric Circuits | ['Multi-Formula Reasoning', 'Implicit Condition Reasoning'] | [
0.044189453125,
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0.01129150390625,
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0.016845703125,
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0.0230712890625,
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0.0045166015625,
0.0037994384765625,
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873 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEgAkwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the capacitance of the two metal spheres? What is the capacitance of the two metal spheres?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.22nF B: 1.20nF C: 0.25nF D: 0.20nF | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.0146484375,
0.0179443359375,
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-0.0284423828125,
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0.0040283203125,
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0.00958251953125,
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0.0... |
874 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEKAowDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the potential difference between A and B? What is the potential difference between A and B?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 12V B: -14V C: -200V D: -70V | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
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875 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGKAogDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The figure shows a graph of \( V \) versus \( x \) in a region of space. The potential is independent of \( y \) and \( z \). What is \( E_{x} \) at \( x = 2\ \mathrm{cm} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 12V/m B: -14V/m C: -200V/m D: -5V/m | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
0.054443359375,
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0.02001953125,
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876 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJaAhwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Determine the magnitude of the electric field at point 1. Determine the magnitude of the electric field at point 1.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1200V/m B: -1004V/m C: -2000V/m D: 3750V/m | D | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
0.04052734375,
0.000736236572265625,
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0.0118408203125,
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877 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAF4AmYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the equivalent capacitance of the three capacitors? What is the equivalent capacitance of the three capacitors?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 2.5\ \mu\mathrm{F} B: 3.5\ \mu\mathrm{F} C: 5.5\ \mu\mathrm{F} D: 7.5\ \mu\mathrm{F} | D | Electromagnetism | Electric Circuits | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.0308837890625,
0.028076171875,
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878 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAF2AlgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the equivalent capacitance of the three capacitors? What is the equivalent capacitance of the three capacitors?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 2.5\ \mu\mathrm{F} B: 35\ \mu\mathrm{F} C: 55\ \mu\mathrm{F} D: 25\ \mu\mathrm{F} | D | Electromagnetism | Electric Circuits | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.03515625,
0.0272216796875,
-0.0159912109375,
-0.014892578125,
-0.0142822265625,
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0.0184326171875,
0.01025390625,
0.023193359375,
0.00142669677734375,
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0.00396728515625,
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879 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFsAgwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the equal charge on the three capacitors? What is the equal charge on the three capacitors?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 2.5\ \mu\mathrm{C} B: 35\ \mu\mathrm{C} C: 55\ \mu\mathrm{C} D: 60\ \mu\mathrm{C} | D | Electromagnetism | Electric Circuits | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.040283203125,
0.0235595703125,
-0.039794921875,
-0.016845703125,
-0.0247802734375,
-0.00421142578125,
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0.02587890625,
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0.006378173828125,
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0.0145263671875,... |
880 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFuAnIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the equal charge on the \( C_3 \)? What is the equal charge on the \( C_3 \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 2.5\ \mu\mathrm{C} B: 15\ \mu\mathrm{C} C: 55\ \mu\mathrm{C} D: 16\ \mu\mathrm{C} | D | Electromagnetism | Electric Circuits | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.041748046875,
0.017822265625,
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0.0023345947265625,
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0.0224609375,
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0.0264892578125,
0.007293701171875,
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0.0050048828125... |
881 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEWAbgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The switch in figure has been open for a long time. It is closed at \( t = 0 \, \text{s} \). What is the current through the battery after the switch has been closed a long time?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 0.0 \, \text{A} \) B: \( 4.0 \... | C | Electromagnetism | Electric Circuits | ['Physical Model Grounding Reasoning', 'Implicit Condition Reasoning'] | [
0.017578125,
0.0042724609375,
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0.006988525390625,
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0.017822265625,
0.006744384765625,
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882 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAD2AewDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The switch in figure has been open for a long time. It is closed at \( t = 0 \, \text{s} \). After the switch has been closed for a long time, what is the current in the circuit?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( \Delta V_{\text{bat}}/2R \) B:... | C | Electromagnetism | Electric Circuits | ['Physical Model Grounding Reasoning', 'Implicit Condition Reasoning'] | [
0.023193359375,
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0.0162353515625,
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0.00836181640625,
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0.005340576171875,
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0.00634765625,
0.0117797851562... |
883 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAF+ATIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The metal wire in figure moves to a straight wire. Find an expression for the potential difference between the two ends of the moving wire.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( (\mu v_0 I /\pi) \ln[(d+l)/d] \) B: \( (\mu v_0 I / 3\pi) \ln[(d+l)/d... | C | Electromagnetism | Electromagnetic Induction | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.046630859375,
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884 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAE8Ag4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A closed, square loop is formed with 40 cm of wire having \( R = 0.10 \, \Omega \), as shown in figure. A 0.50 T magnetic field is perpendicular to the loop. At \( t = 0 \, \text{s} \), two diagonally opposite corners of the loop begin to move apart. How long does it take the loop to collapse to a straight line?Please ... | C | Electromagnetism | Electromagnetic Induction | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
0.01318359375,
0.003814697265625,
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0.01324462890625,
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0.007537841796875,
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0.0262451171875,
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0.01416015625,
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... |
885 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEgAdYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | High-frequency signals are often transmitted along a coaxial cable, such as the one shown in figure. For example, the cable TV hookup coming into your home is a coaxial cable. The signal is carried on a wire while the outer conductor is grounded. A soft, flexible insulating material fills the space between them, and an... | C | Electromagnetism | Electromagnetic Induction | ['Physical Model Grounding Reasoning', 'Numerical Reasoning'] | [
0.036865234375,
0.01324462890625,
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-0.01263427734375,
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-0.003570556640625,
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-0.0274658203125,
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0.0267333984375,
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0.00482177734375,
0.004119873046875... |
886 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFWAWIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The emf phasor in figure is shown. What is the instantaneous value of the emf?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( -6\,\text{V} \) B: \( -8\,\text{V} \) C: \( -10\,\text{V} \) D: \( -5\,\text{V} \) | C | Electromagnetism | Electromagnetic Waves | ['Physical Model Grounding Reasoning', 'Numerical Reasoning'] | [
0.0556640625,
-0.00060272216796875,
-0.0162353515625,
-0.013427734375,
-0.022705078125,
-0.00238037109375,
-0.0184326171875,
0.0177001953125,
-0.017578125,
0.005645751953125,
-0.00537109375,
0.0194091796875,
-0.000522613525390625,
0.0034027099609375,
-0.005340576171875,
-0.006042480468... |
887 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEsAcoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is \( V_\text{C} \) if the emf frequency in figure is \( 10\,\text{kHz} \)? What is \( V_\text{C} \) if the emf frequency in figure is \( 10\,\text{kHz} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 12.0\,\text{V} \) B: \( 6.0\,\text{V} \) C: \( ... | C | Electromagnetism | Electric Circuits | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.05078125,
-0.005584716796875,
-0.026611328125,
-0.026611328125,
-0.019775390625,
0.012939453125,
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0.01953125,
-0.0264892578125,
-0.01434326171875,
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0.012939453125,
0.01171875,
0.00897216796875,
0.000732421875,
0.00848388671875,
-0.000732421875,
-0... |
888 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFEAYoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | analyze the RL circuit of figure. What is \( V_\text{R} \) in the limits \( \omega \to 0 \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( V_\text{R} \to 2 \) B: \( V_\text{R} \to 0 \) C: \( V_\text{R} \to \mathcal{E}_0 \) D: \( V_\text{R} \to 3\) | C | Electromagnetism | Electric Circuits | ['Physical Model Grounding Reasoning', 'Numerical Reasoning'] | [
0.041748046875,
-0.01220703125,
-0.0174560546875,
-0.009033203125,
0.01361083984375,
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0.00023174285888671875,
0.0146484375,
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0.01080322265625,
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0.00099945068359375,
0.01171875,
0.0036468505859375,
0.006195068359375,
-0.0164... |
889 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFaAe4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | For the circuit of figure. What is the resonance frequency, in \( \text{Hz} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 5.0 \times 10^4 \text{ Hz} \) B: \( 7.0 \times 10^3 \text{ Hz} \) C: \( 5.0 \times 10^3 \text{ Hz} \) D: \( 7.0 \times 10^4 \text... | C | Electromagnetism | Electric Circuits | ['Physical Model Grounding Reasoning', 'Numerical Reasoning'] | [
0.041259765625,
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0.01446533203125,
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0.019287109375,
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0.0279541015625,
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0.0181884765625,
-0.0004711151123046875,
0.0213623046875,
-0.01446533203125,
-0... |
890 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHkAa4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | Three charged particles are placed on the corners of the rectangle shown in figure. What is the net force on charge \( q_3 \) due to the other two charges?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.25 \times 10^{-3}N B: 1.35 \times 10^{-3}N C: 6.2 \tim... | C | Electromagnetism | Electrostatics | ['Spatial Relation Reasoning', 'Multi-Formula Reasoning'] | [
0.0213623046875,
0.03173828125,
-0.033935546875,
0.0036773681640625,
-0.00885009765625,
0.0252685546875,
0.005615234375,
-0.004913330078125,
-0.0289306640625,
0.01385498046875,
-0.0201416015625,
0.0286865234375,
-0.00469970703125,
0.00665283203125,
-0.0008392333984375,
0.00141143798828... |
891 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHYAawDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | A horizontal electric field causes the charged ball in Figure to hang at a 15^\circ angle, as shown. The spring is plastic, so it doesn’t discharge the ball, and in its equilibrium position the spring extends only to the vertical dashed line. What is the electric field strength?Please directly answer the question and p... | C | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.04052734375,
0.00836181640625,
-0.0255126953125,
-0.00445556640625,
-0.0240478515625,
0.010498046875,
-0.0107421875,
0.00506591796875,
-0.0341796875,
0.007354736328125,
-0.02734375,
0.0233154296875,
0.00775146484375,
0.0159912109375,
0.00927734375,
-0.005279541015625,
-0.0283203125... |
892 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADKAiADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the nit electric force on charge A? What is the nit electric force on charge A?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.25N B: 1.35N C: 0N D: 5.33N | C | Electromagnetism | Electrostatics | ['Spatial Relation Reasoning', 'Multi-Formula Reasoning'] | [
0.0164794921875,
0.0262451171875,
-0.03564453125,
-0.011474609375,
-0.010009765625,
0.015869140625,
-0.00762939453125,
-0.009521484375,
-0.03955078125,
0.01422119140625,
-0.008544921875,
0.01507568359375,
0.004058837890625,
-0.00164794921875,
-0.00946044921875,
-0.002716064453125,
-0... |
893 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGcAbADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the magnitude of the force \( \vec{F} \) on the \( 1.0\,\mathrm{nC} \) charge in figure? What is the magnitude of the force \( \vec{F} \) on the \( 1.0\,\mathrm{nC} \) charge in figure?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.25 \times 10^{-3... | C | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.01129150390625,
0.0244140625,
-0.046875,
-0.0009918212890625,
-0.00885009765625,
0.0196533203125,
-0.002716064453125,
-0.016357421875,
-0.031982421875,
0.010009765625,
-0.0174560546875,
0.0150146484375,
-0.00982666015625,
-0.00011348724365234375,
-0.00579833984375,
-0.01409912109375,... |
894 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAG4Ae4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the magnitude of the force \( \vec{F} \) on the \( 1.0\,\mathrm{nC} \) charge in figure? What is the magnitude of the force \( \vec{F} \) on the \( 1.0\,\mathrm{nC} \) charge in figure?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.25 \times 10^{-3... | C | Electromagnetism | Electrostatics | ['Spatial Relation Reasoning', 'Multi-Formula Reasoning'] | [
0.0179443359375,
0.0289306640625,
-0.044677734375,
0.0048828125,
-0.0125732421875,
0.0159912109375,
-0.002349853515625,
-0.0159912109375,
-0.035888671875,
0.01239013671875,
-0.014892578125,
0.016357421875,
-0.01123046875,
0.0003757476806640625,
0.001312255859375,
-0.01220703125,
-0.0... |
895 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFUAlIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the magnitude of the force \( \vec{F} \) on the \( -10\,\mathrm{nC} \) charge in figure? What is the magnitude of the force \( \vec{F} \) on the \( -10\,\mathrm{nC} \) charge in figure?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.25 \times 10^{-3... | C | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.020751953125,
0.025634765625,
-0.031494140625,
-0.005706787109375,
-0.009033203125,
0.0252685546875,
-0.006591796875,
-0.006439208984375,
-0.037109375,
0.0096435546875,
-0.0169677734375,
0.0203857421875,
-0.00041961669921875,
0.0025482177734375,
-0.0025482177734375,
-0.00711059570312... |
896 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAE8AkADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the magnitude of the force \( \vec{F} \) on the \( -10\,\mathrm{nC} \) charge in figure? What is the magnitude of the force \( \vec{F} \) on the \( -10\,\mathrm{nC} \) charge in figure?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 7.25 \times 10^{-3... | C | Electromagnetism | Electrostatics | ['Spatial Relation Reasoning', 'Multi-Formula Reasoning'] | [
0.02490234375,
0.0220947265625,
-0.03271484375,
0.007568359375,
-0.0069580078125,
0.0257568359375,
0.000667572021484375,
-0.01025390625,
-0.026611328125,
0.015869140625,
-0.015380859375,
0.019775390625,
0.0069580078125,
0.005523681640625,
-0.003082275390625,
-0.0157470703125,
-0.0375... |
897 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJOAiADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the magnitude of the force \( \vec{F} \) on the \( 5.0\,\mathrm{nC} \) charge in figure? What is the magnitude of the force \( \vec{F} \) on the \( 5.0\,\mathrm{nC} \) charge in figure?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 7.25 \times 10^{-4... | C | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning'] | [
0.0145263671875,
0.0191650390625,
-0.030517578125,
0.0020904541015625,
-0.010009765625,
0.026611328125,
-0.000820159912109375,
-0.01165771484375,
-0.041259765625,
0.0150146484375,
-0.022705078125,
0.0186767578125,
0.0068359375,
0.004119873046875,
-0.006317138671875,
-0.01104736328125,
... |
898 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJIAigDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | What is the magnitude of the force \( \vec{F} \) on the \( 5.0\,\mathrm{nC} \) charge in figure? What is the magnitude of the force \( \vec{F} \) on the \( 5.0\,\mathrm{nC} \) charge in figure?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 7.25 \times 10^{-4... | C | Electromagnetism | Electrostatics | ['Spatial Relation Reasoning', 'Multi-Formula Reasoning'] | [
0.015625,
0.0201416015625,
-0.027587890625,
0.001220703125,
-0.01171875,
0.0244140625,
-0.006195068359375,
-0.0133056640625,
-0.040283203125,
0.0135498046875,
-0.0225830078125,
0.0152587890625,
0.004913330078125,
-0.00116729736328125,
-0.0098876953125,
-0.0111083984375,
-0.0395507812... |
899 | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIGAnoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | The net force \( \vec{F} \) on the \( 1.0\,\mathrm{nC} \) charge in figure is zero. What is q?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.69nC B: 0.48nC C: 0.68nC D: 0.65nC | C | Electromagnetism | Electrostatics | ['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning'] | [
0.0216064453125,
0.019775390625,
-0.0380859375,
-0.00156402587890625,
-0.00616455078125,
0.0235595703125,
-0.0220947265625,
-0.0177001953125,
-0.0322265625,
0.000400543212890625,
-0.0162353515625,
0.0250244140625,
-0.005340576171875,
-0.0020599365234375,
0.007080078125,
-0.002075195312... |
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