id stringlengths 2 7 | question stringlengths 17 11.6k | answer stringlengths 0 1.01k | answer_type stringclasses 11
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|---|---|---|---|---|---|---|
1235352 | How much heat is required to warm 1.60 L of water from 26.0°C to 100.0°C? | 495385.6 J or 495.4 kJ | Float | Physics | Senior High School | 94,768 |
1487647 | A parallel plate capacitor is made from two plates that are separated by 1.63 mm of Neoprene (which has a dielectric constant of 6.70). Each of the plates has an area of {eq}3.77 \times 10^{-4}\ m^2
{/eq}.
What is the capacitance of this capacitor? | 1.37e-11 F | Float | Physics | Senior High School | 83,348 |
1253108 | A car is equipped with a bumper that is designed to absorb collisions. The bumper is mounted to the car using pieces of flexible tubing. The car is traveling at 1.5 m/s when it collides with a rigid black wall. If the wall exerts an average force of 44.1 kN on the car as the bumper is deformed a distance of 38.3 mm, ho... | 1689 J | Float | Physics | Senior High School | 13,348 |
1243979 | What is the smallest capacitor needed in a computer power supply in order to supply at least {eq}\displaystyle \rm 0.4 \ A
{/eq} of current for {eq}\displaystyle \rm 0.20 \ s
{/eq} after the power goes off? Assume that the resistance of all components of the computer motherboard is 5 Omega and it uses a {eq}\displays... | 43.7 mF | Float | Physics | Senior High School | 51,319 |
619609 | A triangular plate with height 6 ft and a base of 8 ft is submerged vertically in water so that the top is 4 ft below the surface.
Express the hydrostatic force against one side of the plate as an integral and evaluate it.
(weight density of water is 62.5 {eq}lb/ft^3.
{/eq}) | 12,000 lbs | Integer | Physics | University | 217,113 |
592427 | When air expands adiabatically, the pressure P and volume V satisfy the relationship {eq}PV^{1.4} = \textrm{constant}
{/eq}.
At a certain instant, the pressure is {eq}50 \textrm{ lb/in}^2
{/eq} and the volume {eq}32 \textrm{ in}^3
{/eq} and is decreasing at a rate of {eq}4 \textrm{ in}^3 \textrm{/sec}
{/eq}. How r... | +8.75 psi/s | Float | Physics | Senior High School | 72,681 |
349659 | If the critical angle for light at an interface between certain substances is {eq}54.2
{/eq} degrees, what is the polarizing angle at this same interface? | 51 degrees | Float | Physics | Senior High School | 220,158 |
2037358 | According to Debye's law, the molar heat capacity at constant volume of a diamond varies with the temperature as follows:
{eq}\overline{c}_v = 3R \frac{4\pi^4}{5}\left(\frac{T}{\Theta} \right)^3
{/eq}.
What is the entropy change in units of {eq}R
{/eq} of a diamond of {eq}1.2 \text{ g}
{/eq} mass when it is heated... | 1.2R | Float | Physics | University | 132,051 |
77798 | A {eq}-3.00\ nC
{/eq} point charge is at the origin , and a second {eq}-6.50\ nC
{/eq} point charge is on the x-axis at {eq}x = 0.800\ m
{/eq}.
Find the electric field (magnitude and direction) at point on the x-axis at {eq}x = -0.200\ m
{/eq}. | 733.5 N/C | Float | Physics | Senior High School | 6,303 |
372320 | A small piece of wire bent into L shape with upright and horizontal positions of equal lengths, is placed with horizontal position along axis of concave mirrror whose radius of curvature is 10cm. If bend is 20cm from pole of mirror, then ratio of lengths of images of upright and horizontal positions of wire is_. | 3:1 | Fraction | Physics | Senior High School | 215,563 |
1580492 | You have three {eq}3.0\ \rm{\mu F}
{/eq} capacitors. Two of the capacitors are in parallel, and this parallel combination is in series with the third capacitor. This capacitor combination is connected across a 30-V battery. Find the charge on each capacitor and the potential difference across each. | The charge on the first capacitor is 6.0e-5 C, and the potential difference across it is 20 V. The charge on the second and third capacitors is 3.0e-5 C each, and the potential difference across each of them is 10 V. | List | Physics | Senior High School | 178,868 |
1913762 | Construct the orbital diagram of each atom or ion How many photons are produced in a laser pulse of 0.821 J at 587 nm? | 2.42e18 | Float | Physics | Senior High School | 117,688 |
1084778 | An ideal spring with a mass of 136 grams has an equilibrium length of 25 cm. It is then stretched to a length of 156 cm. At this length, a wave propagates along the spring with a speed of 31 meters per second. What is the spring constant of the spring (in units of newtons per meter)? | 399.07 N/m | Float | Physics | Senior High School | 79,668 |
1783766 | At a distance of 5.0 m from a point sound source, the sound intensity level is 110 dB. At what distance is the intensity level 95 dB? | 5.38 m | Float | Physics | Senior High School | 119,364 |
223176 | Use the model for projectile motion, assuming there is no air resistance. A shot fired from a gun with a muzzle velocity of 1400 feet per second is to hit a target 3000 feet away. Determine the minimum angle of elevation of the gun. (Round your answer to two decimal places.) | 1.41 degrees | Float | Physics | Senior High School | 127,777 |
606681 | You drop a {eq}295-g
{/eq} silver figure of a polar bear into the {eq}251-g
{/eq} aluminium cup of a well-insulated calorimeter containing {eq}263 g
{/eq} of liquid water at {eq}20.3^{\circ}C
{/eq}. The bear's initial temperature is {eq}96.7 ^{\circ}C
{/eq}. What is the final temperature of the water, cup, and bea... | 24.07 degrees Celcius | Float | Physics | Senior High School | 6,793 |
1455739 | Two thin, infinitely long, parallel wires are lying on the ground a distance d = 3 cm apart. They carry a current I = 200 A going into the page. A third thin, infinitely long wire with mass per unit length {eq}\lambda
{/eq} = 5 g/m carries current I going out of the page. What is the value of the current I in amps in ... | 62.6 A | Float | Physics | University | 197,067 |
1019954 | An ideal gas is confined to a cylinder by a piston. The piston is pushed in so that the gas temperature remains at 20C. During the compression, 730J is done on the gas. Find the entropy change of the gas. | -2.49 JK^-1 | Float | Physics | University | 173,113 |
154088 | The potential at location A is 419 V. A positively charged particle is released there from rest and arrives at location B with a speed vB. The potential at location C is 787 V, and when released from rest from this spot, the particle arrives at B with twice the speed it previously had, or 2vB. Find the potential at B. | 296 V | Integer | Physics | Senior High School | 18,355 |
1699522 | A basketball player attempting a free throw shoots the ball at an angle of 35 degrees above the horizontal. The basket is 4.21 m from the foul line and 3.05 m above the floor. If the ball is released at a height of 1.83 m above the floor and it goes through the basket, what's the max height above the floor reached by t... | 3.08 m | Float | Physics | Senior High School | 98,554 |
485857 | A charge {eq}Q_1 = 1.23 \mu{/eq}C is at rest and is located 2.50 cm away from another fixed charge {eq}Q_2 = 1.75 \mu{/eq}C. The first charge is then released.
Calculate the kinetic energy of charge {eq}Q_1{/eq} when it is 4.60 cm away from charge {eq}Q_2{/eq}. | 0.354 J | Float | Physics | Senior High School | 207,741 |
1672246 | A spherical balloon of volume {eq}7.84 \times 10^{3} \ cm^{3}
{/eq} contains helium at a pressure of {eq}3.19 \times 10^{5} \ Pa
{/eq}. How many moles of helium are in the balloon if the average kinetic energy of the helium atoms is {eq}6.74 \times 10^{-22} \ J
{/eq} ? | 9.24 mol | Float | Physics | Senior High School | 17,000 |
534679 | A horizontal rectangular surface has dimensions 2.50cm by 3.10cm and is in a uniform magnetic field that is directed at an angle of 29.5 degrees above the horizontal.
A) What must the magnitude of the magnetic field be in order to produce a flux of 4.50x10{eq}^{-4}
{/eq}Wb through the surface? | 1.18 T | Float | Physics | Senior High School | 79,112 |
214087 | Air enters a 10-m long section of a rectangular duct of cross section 15 cm {eq}\times
{/eq} 20 cm made of commercial steel at a 1 atm and 35 {eq}^{\circ}
{/eq}C at an average velocity of 7 m/s. Disregarding the entrance effects, determine the fan power needed to overcome the pressure losses in this section of duct. ... | 7.00 W | Float | Physics | University | 223,052 |
1500047 | An empty pressure cooker of volume 10 liters contains air at atmospheric pressure 10{eq}^5
{/eq} Pa and a temperature of 300 K. It contains a whistle that has an area of 0.1 cm{eq}^2
{/eq} and a weight of 100 gm. What should be the temperature of the air inside so that the whistle is just lifted up? | 594K | Integer | Physics | Senior High School | 189,068 |
1718913 | A conductor in x-y plane and having length 1 m is moving with a velocity V = (2 i + 3 j + k ) m/sec. A magnetic induction field B = ( i + 2 j ) Wb/m 2 is applied to the conductor. The potential difference between the ends of the conductor is Options are: answer A 0; answer B 4.88 V; answer C 6 V; answer D None of these | C | Multiple Choice | Physics | University | 214,667 |
2018107 | Does a ball hit forward by a tennis racket ever have a positive acceleration? | Yes | Boolean | Physics | Senior High School | 208,995 |
387760 | Unpolarized light with intensity {eq}\rm I_o
{/eq} is incident on two polarizing filters. The axis of the first filter makes an angle of 40 degrees with the vertical, and the axis of the second filter is horizontal. What is the intensity of the light after it has passed through the second filter? | 0.21 * I_o | Float | Physics | Senior High School | 115,342 |
509725 | A wire has a resistance of 140 {eq}\Omega
{/eq}. What is the resistance of a second wire, made of the same material, that is 1/2 as long and has 1/4 the diameter? | 1120 Ω | Integer | Physics | Senior High School | 119,728 |
1999373 | Object A of mass M is released from height H, whereas object B of mass 0.5M is released from height 2H. What is the ratio of the velocity of object A to that of object B immediately before they hit the ground?
A. 1 : 2
B. 1.41 : 1
C. 1 : 1.41
D. 1 : 4
E. 1 : 1 | C | Multiple Choice | Physics | Senior High School | 92,367 |
1635093 | The particle P travels with a constant speed of 300 mm/s along the curve.
What is its acceleration when it is located at point (200 mm, 100 mm)? | 402.5 mm/s^2 | Float | Physics | University | 94,674 |
140612 | How does the number of segments in a standing wave vary with tension of a string when the frequency is constant? | n ∝ 1/√T | Expression | Physics | Senior High School | 216,355 |
2044563 | You are given the temperature of Y which is 20 degrees Celsius and the temperature of water which is 40 degrees Celsius. There is 100 mL of compound Y poured into a flask containing 50 mL of water. Assume that compound Y has a density of 1.62 g/mL. What is the specific heat capacity of compound Y? | 3.87 J/g-°C | Float | Physics | University | 164,334 |
1591983 | Consider an LC circuit that has a total energy {eq}U
{/eq}. If {eq}75\%
{/eq} of the energy is in the form of magnetic energy, then what is the current in the inductor in terms of {eq}U
{/eq}?
a. {eq}\sqrt {\dfrac U {2L}}
{/eq}.
b. {eq}\dfrac {2 U}L
{/eq}.
c. {eq}\displaystyle
\sqrt {\dfrac {2 U} L}
{/eq}.
d... | e | Multiple Choice | Physics | Senior High School | 186,874 |
1629751 | The position of a particle moving along the x-axis depends on the time according to equation, {eq}x = 3t^2 - 2t^3
{/eq}.
At what time does the particle reach its minimum positive x position?
Show all steps. | t=0 | Other | Physics | Senior High School | 187,969 |
1517785 | An airplane accelerates down a runway at 3.20 m/s{eq}^2
{/eq} for 32.8 s until it is finally lifted off the ground. Determine the distance traveled before takeoff. | 1721.344 m | Float | Physics | Senior High School | 197,539 |
1696045 | Suppose identical amounts of heat are transferred into different masses of copper and water, causing identical changes in temperature. What is the ratio of the mass of copper to water? | 11 | Integer | Physics | Senior High School | 168,046 |
209963 | A 0.282-m-thick sheet of ice covers a lake. The air temperature at the ice surface is -19.2° C. In 5.50 minutes, the ice thickens by a small amount. Assume that no heat flows from the ground below into the water and that the added ice is very thin compared to 0.282 m. Calculate the number of millimetres by which the ic... | 1.743e-4 m | Float | Physics | University | 52,664 |
746650 | A {eq}30 \ \rm{\mu F}
{/eq} capacitor initially charged to {eq}20 \ \rm{\mu C}
{/eq} is discharged through a {eq}3.0 \ \rm{k \Omega}
{/eq} resistor. How long does it take to reduce the capacitor's charge to {eq}5.0 \ \rm{\mu C}
{/eq}? | 0.12 s | Float | Physics | Senior High School | 220,603 |
796293 | I need to calculate $[p^2,x]$, with $p=-i\hbar\frac{d}{dx}$ This is what I've done: $$[p,x]=-i\hbar$$ $$[p^2,x]=[p,x]p + p[p,x]$$ $$[p^2,x]=-i\hbar p - pi\hbar$$ Now here's my question: I've seen solutions to this problem doing $pi\hbar=i\hbar p$, so $[p^2,x]=-2i\hbar p$. But how can you do that if $p$ is an operator? ... | -2i\hbar p | Expression | Physics | University | 203,831 |
504629 | A projectile is shot at a velocity of # 1 m/s# and an angle of #pi/4 #. What is the projectile's peak height? | 0.026 meters | Float | Physics | Senior High School | 67,473 |
2077338 | A circular coil with 77 turns of wire and a diameter of 4 cm is placed in a magnetic field given by B(t) = 7 t{eq}^2
{/eq} + 2 t + 2 T where t is time in seconds. The field is perpendicular to the plane of the coil. What is the induced EMF at t = 8 s? | 11.0 V | Float | Physics | Senior High School | 223,067 |
1201768 | In a lightning bolt, 16 C of charge flows in a time of 1.5 {eq}\times
{/eq} 10{eq}^{-3}
{/eq} seconds. Assuming that the lightning bolt can be represented as a long, straight line of current, what is the magnitude of the magnetic field at a distance of 24 meters from the bolt? | 8.89e-5 T | Float | Physics | Senior High School | 16,535 |
1158171 | Under very favorable conditions an ocean current circulating counter-clockwise when viewed from an airplane directly overhead was discovered to be in a well-isolated layer beneath the surface. The period of rotation was measured to be 14 hours. At what latitude and in which hemisphere was the current detected? | 59.31 degree, southern hemisphere | Float | Physics | University | 87,680 |
1231372 | A particle moves from rest, its initial position being given by x = c with reference to a fixed point O. Its acceleration at a distance x from O is {eq}\mu/x^2
{/eq} away from O. Show that its velocity is {eq}\sqrt {\mu/c}
{/eq} when it is a distance x from O. | {eq}\sqrt{\frac{\mu}{c}}{/eq} | Expression | Physics | Senior High School | 206,437 |
1509110 | How much work is done by the boy pulling his sister 36 m in a wagon as shown in the figure below? Assume no friction acts on the wagon. (Assume d = 36 m and F = 52 N.) | 1600 N*m | Integer | Physics | Senior High School | 195,645 |
639578 | The question is inspired by rotational dynamics and how much of the sky could a camera "cover" when it rotates in a specific way. Let's say that we have solved the equations for rotational motion of a body, and have the vector function of time $v(t)$, which is of constant length and represents the direction in which th... | S = r^2∫∫sin(θ)dθdϕ, where θ = f(t) and ϕ = g(t) represent the polar and azimuthal angles as functions of time, based on the rotational motion v(t). | Expression | Physics | University | 35,492 |
136815 | A ladder of mass M and length 2 m rests against a frictionless wall at an angle of 47 degrees to the horizontal. The coefficient of static friction between the ladder and the floor is 0.5. What is the maximum distance along the ladder a person of mass 13M can climb before the ladder starts to slip? | 1.078 m | Float | Physics | University | 186,154 |
686285 | The angle of elevation of an object as seen by an observer is the angle between the horizontal and the line from the object to the observer's eye (the line of sight). A diver is performing a high dive off a vertical ladder, while {eq}\text{8 meters}
{/eq} away a seated judge is watching. At the moment when the angle o... | -1.6 m/s | Float | Physics | Senior High School | 69,820 |
603792 | A 5.00{eq}\mu
{/eq}F capacitor, a 12.0{eq}\mu
{/eq}F capacitor, and a 20.0{eq}\mu
{/eq}F capacitor are connected in parallel. What is their equivalent capacitance? | 37 \mu F | Integer | Physics | Senior High School | 62,169 |
1704238 | Calculate the energy for vacancy formation in nickel (Ni), given that the equilibrium number of vacancies at 825{eq}^{\circ}C
{/eq} is {eq}4.6\times10^{22}\;m^{-3}
{/eq}. The atomic weight and density at 825{eq}^{\circ}C
{/eq} for Ni are, respectively, 58.72 g/mol and 8.80 {eq}g/cm^3
{/eq}. | 2.295e-19 J | Float | Physics | University | 221,427 |
1224899 | When a 0.187 kg mass is attached to a vertical spring, it causes the spring to stretch distance d. If the mass is now displaced slightly from equilibrium, it is found to make 223 oscillations in 157 s. Find the stretch distance d. | 0.123 m | Float | Physics | Senior High School | 118,794 |
1240113 | A 41.0 cm diameter wheel accelerates uniformly from 86.0 rpm to 342.0 rpm in 3.4 s. How far (in meters) will a point on the edge of the wheel have traveled in this time? | 15.8 m | Float | Physics | Senior High School | 18,979 |
2020063 | A 335 g block of copper cools from 95.0 degrees C to 27.2 degrees C when it is put in a beaker containing water at 22.4 degrees C. What is the mass of the water in the beaker? | 946.38 g | Float | Physics | Senior High School | 98,045 |
932923 | A particle of charge {eq}\displaystyle
Q
{/eq} with a mass of {eq}\displaystyle
5.00
{/eq} milligram, is flying horizontally with a constant speed of {eq}\displaystyle
1000 m/s
{/eq}. A long straight wire, which is carrying a {eq}\displaystyle
10.0 \text{ A }
{/eq} current, is {eq}\displaystyle
25.0 \text{ cm ... | a | Multiple Choice | Physics | University | 3,338 |
1804370 | A string along which waves can travel is 2.5 m long and has a mass of 180 g. The tension in the string is 29 N. What must be the frequency of traveling waves of amplitude 12 mm for the average power to be 71 W? | 131.47 Hz | Float | Physics | Senior High School | 25,091 |
996486 | A model train, with a mass of #3 kg#, is moving on a circular track with a radius of #2 m#. If the train's rate of revolution changes from #5/3 Hz# to #1/8 Hz#, by how much will the centripetal force applied by the tracks change by? | 654.3N | Float | Physics | Senior High School | 218,184 |
841647 | Eight uncharged capacitors with equal capacitances are combined in series. The combination is connected to a 7.63 V battery, which charges the capacitors. The charging process involves {eq}4.45\times 10^{-4}{/eq}C of charge moving through the battery. Find the capacitance of each capacitor. | 4.66e-4 F | Float | Physics | Senior High School | 24,637 |
1817469 | A roller-coaster vehicle has a mass of 400kg, when fully loaded with passengers. r1=11m, and r2=17m. If the vehicle has a speed of 17m/s at A, what is the magnitude of the force, that the track exerts on the vehicle, at this point? | 14433.09 N | Float | Physics | Senior High School | 22,197 |
440364 | A vehicle designed to operate on a drag strip accelerates from zero to 30 m/s while undergoing a straight line path displacement of 45 m. What is the vehicle's acceleration if its value may be assumed to be constant?
a. 2.0 m/s{eq}^2
{/eq}
b. 5.0 m/s{eq}^2
{/eq}
c. 10 m/s{eq}^2
{/eq}
d. 15 m/s{eq}^2
{/eq} | c | Multiple Choice | Physics | Senior High School | 143,530 |
1475711 | Io, a small moon of the giant planet Jupiter, has an orbital period of 1.77 days and an orbital radius of {eq}4.22\times 10^{5}
{/eq} km. From this data, determine the mass of Jupiter. | 1.901e27 kg | Float | Physics | Senior High School | 99,806 |
964111 | If a certain liquid has a density of 2.67 g/cm{eq}^3
{/eq}, 30.5 milliliters of this liquid would have a mass of how many kilograms? | 0.0816 kg | Float | Physics | Senior High School | 29,252 |
1084762 | An airplane is flying in a horizontal circle at a speed of 490 km/h. If its wings are tilted at 44° to the horizontal, what is the radius of the circle in which the plane is flying?
Assume that the required force is provided entirely by an "aerodynamic lift" that is perpendicular to the wing surface. | 1955.604 m | Float | Physics | Senior High School | 220,558 |
747987 | A fire hose ejects a stream of water at an angle of 34.1 degrees above the horizontal. The water leaves the nozzle with a speed of 28.0 m/s. Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest possible fire? | 74.3 m | Float | Physics | Senior High School | 41,733 |
1067418 | A 0.525 kg ball starts from rest and rolls down a hill with uniform acceleration, traveling 146 ft during the 10.0 seconds of its motion. How far did it roll during the first 4.00 seconds of motion? | 23.4 ft | Float | Physics | Senior High School | 202,532 |
800715 | A ball is kicked horizontally at 4.6 m/s off of a cliff 13.4 m high. How far from the cliff will it land. | 7.53 m | Float | Physics | Senior High School | 187,139 |
1175466 | An object with a mass of #8 kg# is acted on by two forces. The first is #F_1= < -2 N , 1 N># and the second is #F_2 = < 3 N, -1 N>#. What is the object's rate and direction of acceleration? | 1/8 ms^(-2) e_x | Expression | Physics | Senior High School | 84,308 |
37757 | The range of projectile which is launched at an angle of {eq}15^\circ
{/eq} with the horizontal is {eq}1.5 \ km
{/eq}. What is the range of projectile which is fired at an angle of {eq}45^\circ
{/eq} with the same speed?
a. {eq}1.5 \ km
{/eq}
b. {eq}3 \ km
{/eq}
c. {eq}6 \ km
{/eq}
d. {eq}0.75 \ km
{/eq} | b | Multiple Choice | Physics | Senior High School | 82,538 |
181009 | A 0.46 kg mass is attached to a spring with a spring constant of 145 N/m so that the mass is allowed to move on a horizontal frictionless surface. The mass is released from rest when the spring is compressed 0.14 m.
Find the acceleration of the mass at the instant the spring is released. | 44.13 m/s^2 | Float | Physics | Senior High School | 114,657 |
1991014 | An object with a mass of #4 kg# is on a plane with an incline of #pi/12 #. If the object is being pushed up the plane with # 1 N # of force, what is the net force on the object? | 9.1457N down the slope | Float | Physics | Senior High School | 138,738 |
1344615 | In the absence of a nearby metal object, the two inductances (LA and LB), in a heterodyne metal detector, are the same, and the resonant frequencies of the two oscillator circuits have the same value of 580.0kHz. When the search coil (inductor B) is brought near a buried metal object, a beat frequency, of 7.0kHz, is he... | 2.37% | Percentage | Physics | Senior High School | 165,524 |
582647 | Two protons are moving in the same uniform magnetic field. The orbital radius of the first proton is 10 cm, and the orbital radius of the second is 20 cm. Which proton has the larger speed? Which has the larger orbital frequency?
i) First, first
ii) First, second
iii) Second, first
iv) Second, second
v) Second, both sa... | c | Multiple Choice | Physics | Senior High School | 172,587 |
64096 | If the acceleration is given in a problem, do is use 9.8 m/s^2 or the given acceleration to find the force due to gravity? | 9.8 m/s^2 | Boolean | Physics | Senior High School | 104,858 |
1737277 | How can I calculate the solid angle that a sphere of radius R subtends at a point P? I would expect the result to be a function of the radius and the distance (which I'll call d) between the center of the sphere and P. I would also expect this angle to be 4π when d < R, and 2π when d = R, and less than 2π when d > R. I... | 2π(1-√(d²-R²)/d) | Expression | Physics | University | 123,345 |
93054 | Ball B, moving in the positive direction of an x-axis at speed v, collides with the stationary ball A at the origin. A and B have different masses. After the collision, B moves in the negative direction of the y-axis at speed v/4. In what direction does A move, at an angle with respect to the x-axis? | 0 | Integer | Physics | University | 61,445 |
749968 | Objects with masses {eq}m_1 = 14.0 \ kg
{/eq} and {eq}m_2 = 7.0 \ kg
{/eq} are connected by a light string that passes over a frictionless pulley. If, when the system starts from rest, {eq}m_2
{/eq} falls {eq}1.00 \ m
{/eq} in {eq}1.27 \ s
{/eq}, determine the coefficient of kinetic friction between {eq}m_1
{/e... | 0.31 | Float | Physics | Senior High School | 51,237 |
492493 | If He(g) has an average kinetic energy of 8270 J/mol under certain conditions, what is the root mean square speed of O2(g) molecules under the same conditions? | 719 m/s | Integer | Physics | Senior High School | 38,989 |
816366 | To design the interior surface of a huge stainless-steel tank, you revolve the curve {eq}y = x^{2}, 0 \leq x \leq 4
{/eq} about the y axis. The container, with dimensions in meters, is to be filled with seawater, which weighs 10,000N/{eq}m^{3}
{/eq}. How much work will it take to empty the tank by pumping the water t... | 20480000π/3 J | Expression | Physics | University | 169,938 |
1293054 | An electromagnetic wave in a vacuum has a magnetic field with a magnitude of {eq}1.80 \times 10^{-6}
{/eq} T. What is the intensity {eq}S
{/eq} of the wave? | 773.5 W/m^2 | Float | Physics | University | 198,177 |
1810704 | A 6.50 kg solid ball with a radius of 0.185 m rolls without slipping at 3.55 m/s. What is its total kinetic energy? | 57.3J | Float | Physics | Senior High School | 116,859 |
69992 | A glass flask whose volume is 1000 cm3 at a temperature of 0.700 C is completely filled with mercury at the same temperature. When the flask and mercury are warmed together to a temperature of 52.0 C , a volume of 8.00 cm3 of mercury overflows the flask.
Part A: If the coefficient of volume expansion of mercury is ?... | 2.41 * 10^-5 K^-1 | Float | Physics | Senior High School | 122,827 |
68348 | Two forces of 10.0 lbs @ 20 degrees and 20 lbs @ 60 degrees are added analytically using the law of cosines to determine the resultant. What is the angle which is used in the law of cosines calculation? | 40 degrees | Integer | Physics | Senior High School | 18,049 |
1086874 | Using dimensional analysis, convert 25.5 lb/in{eq}^2
{/eq} to mg/m{eq}^2
{/eq}. | 17.9e9 mg/m^2 | Float | Physics | Senior High School | 103,928 |
877969 | A box whose mass is 200 kg is placed on a frictionless ramp whose angle of inclination is 30 degrees. If it starts at a velocity of 2 m/s down the ramp and accelerates down the ramp attaining a velocity of 6 m/s after 2 seconds, determine the total force acting on the box on the ramp. | 400 N | Integer | Physics | Senior High School | 73,766 |
910431 | A child and sled with a combined mass of {eq}47.8 \ kg
{/eq} slide down a frictionless hill that is {eq}7.18 \ m
{/eq} high.
If the sled starts from rest, what is its speed at the bottom of the hill? | 11.86 m/s | Float | Physics | Senior High School | 104,892 |
665538 | Use the position function
{eq}s(t) = - 16t^2 + 128
{/eq}
which gives the height (in feet) of a free-falling object. The velocity at time {eq}t=a
{/eq} seconds is given by
{eq}\displaystyle \lim_{ t\to a} \frac{s(a) - s(t)}{a - t}
{/eq}
Find the velocity when {eq}t=2
{/eq} seconds. | 64 ft/s | Integer | Physics | Senior High School | 183,200 |
1308193 | The intensity of a sound wave gets reduced by 20% on passing through a particular slab. What will the reduction in intensity be if the sound wave passes through two such slabs consecutively? | 36% | Percentage | Physics | Senior High School | 13,880 |
427281 | A large rock that weighs 164.0 N is suspended from the lower end of a thin wire that is 3.00 m long. The density of the rock is 3200 {eq}kg/m^3
{/eq}. The mass of the wire is small enough that its effect on the tension in the wire can be neglected. The upper end of the wire is held fixed. When the rock is in air, the ... | 1641.6 kg/m^3 | Float | Physics | University | 186,269 |
1903492 | Which of the following options is true?
A capacitor consists of a set of two parallel plates of area A separated by a distance d. This capacitor is connected to a battery and charged until its plates carry charges +Q and -Q. If the separation between the plates is doubled, the potential difference between the plates w... | d | Multiple Choice | Physics | Senior High School | 53,307 |
778866 | If a ball is thrown into the air with a velocity of 32 ft/sec, its height in feet, h, t seconds later is approximately given by {eq}h = 32t - 16 t^2
{/eq}. Graph the function, and sketch the secant line between the points (0,0), and (1,16). Note your graph should be a parabola opening downward, have t-intercepts at t ... | ft/sec | String | Physics | Senior High School | 92,210 |
100217 | A 9.0-cm-long wire is upplled along a U-shaped conducting rail in a perpendicular magnetic field. The total resistance of the wire and rail is 0.33 Omega. Pulling the wire with a force of 1.2 N causes 4.1 W of power to be dissipated in the circuit. What is the strength of the magnetic field? | 3.78 T | Float | Physics | Senior High School | 20,153 |
1871239 | The potential energy of a particle as a function of position is given as
{eq}U(x) = Ax^2 + Bx + C
{/eq},
where U will be in joules when x is in meters. The constants A, B, and C are given below.
Randomized Variables:
A =2.9 J/{eq}m^2
{/eq}
B = 3.3 J/m
C = 6.1 J
a) Input an expression for the x-component of the... | F(x) = -(5.8x + 3.3) N | Expression | Physics | Senior High School | 56,471 |
1986718 | In Young's experiment a mixture of orange light {eq}(611\ nm)
{/eq} and blue light {eq}(471\ nm)
{/eq} shines on the double slit. The centers of the first-order bright blue fringes lie at the outer edges of a screen that is located {eq}0.640\ m
{/eq} away from the slits. However, the first-order bright orange fringe... | 0.147 m closer to the slits | Float | Physics | Senior High School | 28,066 |
1789619 | An object has a constant acceleration of {eq}40\ \rm ft/sec^2
{/eq}, an initial velocity of {eq}-20\ \rm ft/sec
{/eq}, and an initial position of {eq}10\ \rm ft
{/eq}. Find the position function, {eq}s(t)
{/eq}, describing the motion of the object. | s(t) = 20t^2 - 20t + 10 | Expression | Physics | Senior High School | 66,476 |
1133003 | A {eq}2635 \ kg
{/eq} sailboat experiences an eastward force of {eq}2710 \ N
{/eq} by the ocean tide and a wind force against its sails with magnitude of {eq}5748 \ N
{/eq} directed toward the northwest ({eq}45
{/eq} degrees North of West).
What is the direction of the resultant acceleration? | 71.57 degrees north of west | Float | Physics | Senior High School | 34,230 |
809259 | While a roofer is working on a roof that slants at 44.0 degrees above the horizontal, he accidentally nudges his 87.0 N toolbox, causing it to start sliding downward, starting from rest.
If it starts 4.05 m from the lower edge of the roof, how fast will the toolbox be moving just as it reaches the edge of the roof if ... | 6.3 m/s | Float | Physics | Senior High School | 144,910 |
732711 | A particle of mass 6.00 x {eq}10^{-8}
{/eq} kg and charge 5.4-{eq}\mu
{/eq}C is travelling due east. It enters perpendicularly a magnetic field whose magnitude is 18.0 T. After entering the field, the particle completes one-half of a circle and exits the field travelling due west. How much time does the particle spen... | 1.94e-3 s | Float | Physics | Senior High School | 63,107 |
1077698 | The induced magnetic field at radial distance 6.7 mm from the central axis of a circular parallel-plate capacitor is 2.0 x 10{eq}^{-8}
{/eq}T. The plates have radius 4.1 mm. At what rate is the magnitude of the electric field between the plates changing? | 3.28e14 V/m.s | Float | Physics | University | 19,569 |
555399 | Calculate the minimum thickness of an oil slick on water that appears blue when illuminated by white light perpendicular to its surface. Take the blue wavelength to be 470 nm and the index of refraction of oil to be 1.40. | 83.9 mm | Float | Physics | Senior High School | 86,914 |
1185142 | A charge of {eq}-2.73\, \mu C
{/eq} is fixed in place. From a horizontal distance of {eq}0.0465\, m
{/eq}, a particle of mass {eq}9.50 \times 10^{-3}\, kg
{/eq} and charge {eq}-9.56\, \mu C
{/eq} is fired with an initial speed of {eq}97.2\, m/s
{/eq} directly toward the fixed charge.
What is the distance of ... | 0.0047 m | Float | Physics | University | 147,765 |
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