id stringlengths 2 7 | question stringlengths 25 4.92k | answer stringlengths 1 403 | answer_type stringclasses 10
values | category stringclasses 1
value | difficulty stringclasses 3
values |
|---|---|---|---|---|---|
444734 | What is the relationship between velocity, acceleration, mass and force? | F=ma=m*(v/t), a = (v/t) = (F/m) | Expression | Physics | Senior High School |
2023581 | A baseball is hit in the air. It is caught by the second baseman who is standing on the base. If the second base is 99 feet away from the home plate and the ball is in the air for 4 seconds, what was the initial velocity of the baseball at its highest point? | 7.54 m/s | Float | Physics | Senior High School |
24644 | The tape in a videotape cassette has a total length of {eq}277\ m
{/eq} and can play for 1.6 h. As the tape starts to play, the full reel has an outer radius of 40 mm and an inner radius of 14 mm. At some point during the play, both reels will have the same angular speed.
What is this common angular speed? | 1.8 rad/s | Float | Physics | Senior High School |
422268 | A {eq}26.0\ m
{/eq} long aluminum cable with a cross-sectional area of {eq}2.04 \times 10^{-3}\ m^2
{/eq} is used to suspend a {eq}3.00 \times 10^3\ kg
{/eq} container. By how much will the cable stretch (in m) once bearing the load? (Young's modulus for aluminum is {eq}Y = 7.0 \times 10^{10}\ Pa
{/eq}.) | 0.0054 m | Float | Physics | Senior High School |
1373380 | Calculate the acceleration due to the rotation of the Earth of a person in a location 26 northern geographical latitude. Use REarth = 3,686 km for the value of the radius of the Earth. | 0.03 m/s^2 | Float | Physics | Senior High School |
2037297 | A vertical right circular cylindrical tank measures 28 ft high and 8 ft in diameter. It is full of liquid weighing {eq}62.4 1b / ft^3
{/eq}. How much work does it take to pump the liquid to the level of the top of the tank?
The amount of work required is ft-1b. | 1229534 ft-lb | Integer | Physics | University |
867643 | A closely wound rectangular coil of 80 turns has dimensions of 25 cm by 40 cm. The plane of the coil is rotated from a position where it makes an angle of 37 degrees with a magnetic field of 1.10 T to a position perpendicular to the field. The rotation takes .06 s. What is the average emf induced in the coil? | 58.4 volts | Float | Physics | Senior High School |
1230636 | A fixed charge Q = +3.97{eq}\mu
{/eq}C is held fixed at the origin. A second charge q = +3.97{eq}\mu
{/eq}C is released from rest at the position (1.15 m, 0.450 m). If the mass of q is 2.50 g, what is its speed when it moves infinitely far from the origin? | 9.30 m/s | Float | Physics | Senior High School |
714788 | A charge {eq}\displaystyle +q
{/eq} is at {eq}\displaystyle x=a
{/eq} and a second charge {eq}\displaystyle -q
{/eq} is at {eq}\displaystyle x=-a
{/eq}. Find the limiting from of the electric field for {eq}\displaystyle x > > a
{/eq}. | E=4qa/(4πε_0 x^3) | Expression | Physics | University |
1910474 | Use the ideal gas law to determine the following: At constant {eq}n
{/eq}, {eq}T
{/eq} and {eq}P
{/eq} are doubled, causing the volume to _____. | remain unchanged | String | Physics | Senior High School |
1019007 | The position of a particle is given by {eq}x = 4.2~ \cos \pi t
{/eq}, where x is in meters and t is in seconds.
Find the acceleration of the particle when x = 2.5 m. | -25 m/s^2 | Integer | Physics | Senior High School |
2018885 | Add the following vectors: 1.50 m (North 45 degrees West), 10 m (South 30 degrees East), and 25 m (South 60 degrees West). | 25.7 m at 96.2 degrees south of east | Float | Physics | Senior High School |
240204 | A 0.5 kg ball is dropped at a concrete incline which is 45 degree above the horizontal then bounces off with the speed of 5 m/s due to the force applied on it. What is the change in its momentum? | 2.5 N*s | Float | Physics | Senior High School |
1666721 | A ball is thrown directly downward with an initial velocity of 4 m/s from a height of 30 m.
Find the time for the ball to strike the ground. | 2.92 s | Float | Physics | Senior High School |
929466 | A conducting sphere of radius 0.01 m has a charge of {eq}1.0 \times 10^{-9} \ C
{/eq} deposited on it. Determine the magnitude of the electric field just outside the surface of the sphere. | 90000 N/C | Float | Physics | Senior High School |
361287 | One of the primary visible emissions from a distant planet occurs at 464 nm. Calculate the energy of a mole of photons of this emission. | 257.9 kJ | Float | Physics | Senior High School |
30823 | And comes to rest. Then the ratio of maximum speed and average speed during the complete motion will be MY SOLUTION Let acceleration be a. Max speed $$v=at_1$$ Also distance covered will be $$s=\frac{(2)(at_1^2)}{2}$$ $$=at_1^2$$ So average speed $$=\frac{at_1^2}{t_1+t_2}$$ Taking their ratio gives $$\frac{t_1+t_2}{t_1... | 2:1 | Other | Physics | Senior High School |
856769 | A 5.8 kg object moves from rest to a speed of 14 m/s. If it has moved a distance of 3 m, what is the magnitude of the net force on the object? | 190 N | Integer | Physics | Senior High School |
1025142 | A point charge of {eq}+Q
{/eq} is placed at the center of a square. When a second point charge of {eq}-Q
{/eq} is placed at one of the square's corners, it is observed that an electrostatic force of {eq}20 \, \mathrm{N}
{/eq} acts on the positive charge at the squares center. Now identical charges of {eq}-Q
{/eq} a... | 0 | Integer | Physics | University |
1585707 | A 5.0 liter gas tank holds 1.4 moles of helium and 0.70 moles of oxygen, at a temperature of 260 K. The total translational kinetic energy of the gas in the tank is closest to
A. 6.8 kJ
B. 6.1 kJ
C. 7.6 kJ
D. 8.3 kJ
E. 9.1 kJ | A | Multiple Choice | Physics | Senior High School |
1945236 | An object with a mass of #8 kg# is hanging from an axle with a radius of #5 cm#. If the wheel attached to the axle has a radius of #15 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle? | 8.21J | Float | Physics | Senior High School |
239001 | A motorcycle is traveling up one side of a hill and down the other side. The crest of the hill is a circular arc with a radius of 57.1 m. Determine the maximum speed that the cycle can have while moving over the crest without losing contact with the road. | 23.67 m/s | Float | Physics | Senior High School |
1406808 | A small block of aluminum (of mass {eq}0.08 kg
{/eq} and specific heat {eq}900 J/kg.C
{/eq}) at {eq}94 C
{/eq} is placed in a container of water (of mass {eq}0.125 kg
{/eq} and specific heat {eq}4186 J/kg.C
{/eq}) at {eq}0 C
{/eq}. The two come to thermal equilibrium. What is the final temperature of the two bodi... | 11.37 °C | Float | Physics | Senior High School |
1815166 | Copper has a specific heat of 0.387 J/gC. How much energy is required to raise the temperature of 460 g of copper from 34.5 degrees C to 232.0 degrees C? | 35,158.95 J | Float | Physics | Senior High School |
1475252 | When you take your 1100-kg car out for a spin, you go around a corner of radius 53 m with a speed of 20 m/s . The coefficient of static friction between the car and the road is 0.88. Part A Assuming your car doesn't skid, what is the force exerted on it by static friction? Express your answer using two significant figu... | 8300 N | Integer | Physics | Senior High School |
392003 | A long wire has a current of 0.05 A. An electron is located 2 cm from the wire and is travelling with a velocity of {eq}4 \times 10^{5}
{/eq} m/s in the direction of the current. What is the acceleration of the electron at this location? | 4e10 m/s^2 | Float | Physics | University |
763661 | Find the work done by the force
{eq}\displaystyle{
\vec F = 6xy \hat i + 12y^2 \hat j
}
{/eq}
acting along the piecewise-smooth curve consisting of the line segments from {eq}(-2, 2)
{/eq} to {eq}(0.0)
{/eq} and from {eq}(0.0)
{/eq} to {eq}(2.6)
{/eq}. | 864 | Integer | Physics | University |
995635 | Light with a wavelength of {eq}626 \, \mathrm{nm}
{/eq} passes through a slit {eq}7.64 \, \mathrm{\mu m}
{/eq} wide and falls on a screen {eq}1.80 \, \mathrm{m}
{/eq} away.
Find the linear distance on the central bright fringe to the first bright fringe above it. | 0.221 m | Float | Physics | University |
1777044 | 2) Consider the velocity field given by {eq}u=\frac{y^{2}}{x^{2}+y^{2}} \ and \ v=\frac{-x^{2}}{x^{2}+y^{2}}
{/eq}. Calculate the equation of the streamline passing through the point. | y^3 + x^3 = y_0^3 + x_0^3 | Expression | Physics | University |
843519 | The retina of a human eye can detect light when redundant energy incident on it at least {eq}4.0 \times 10^{-17}
{/eq} J. For light of 575-nm wavelength, how many photons does this energy correspond to? | 1.2e2 photons | Float | Physics | Senior High School |
837412 | What is the magnitude of the electric field at a point midway between a -8.1 {eq}\mu
{/eq}C and a +5.2 {eq}\mu
{/eq}C charge 8.8 cm apart? Assume no other charges are nearby. | 6.20e7 N/C | Float | Physics | Senior High School |
918516 | Two particles of mass 0.3Kg and 0.5Kg are connected by a light inextensible string passing over a smooth rail. The particles are released from rest with the string taut and vertical except where it is in contact with the rail. Calculate the velocity of the particles after they have moved 1.3 meters. | 25.5 m/s | Float | Physics | Senior High School |
747831 | The Earth's magnetic field passes through a square tabletop with a magnitude of {eq}4.95 \times 10^{-5}\ \rm{T}
{/eq} and is directed at an angle of {eq}165^\circ
{/eq} relative to the normal of the tabletop. If the tabletop has {eq}1.50\ \rm{m}
{/eq} sides, what is the magnitude of the magnetic flux through it? | 2.88e-5 Wb | Float | Physics | Senior High School |
130228 | Ted Williams hits a baseball with an initial velocity of {eq}120
{/eq} miles per hour {eq}(176\, ft/s)
{/eq} at an angle of {eq}= 35
{/eq} degrees to the horizontal. The ball is struck {eq}3
{/eq} feet above the home plate. You watch as the ball goes over the outfield wall {eq}420
{/eq} feet away and lands i... | 151.22 ft | Float | Physics | Senior High School |
1889223 | A uniform ladder of length, {eq}L
{/eq}, and mass, {eq}m
{/eq}, rests against a frictionless wall. If the coefficient of static friction between the ladder and the ground is {eq}0.250
{/eq}, find the minimum angle between the ladder and the round, such that the ladder doesn't slip. | 62° | Integer | Physics | University |
1832120 | A proton at the center of a 0.20 m long solenoid compromised of 5,500 turns of copper wire experiences a force of magnitude of {eq}2.7 \times 10^{-15}\ N
{/eq} and is traveling at {eq}2.7 \times10^5
{/eq} m/s.
What is the magnitude of the current in the solenoid? | 1.81 A | Float | Physics | University |
441422 | A train traveling at {eq}\rm v_0 = 26.0 \ m/s
{/eq} begins to brake by applying a velocity-dependent instantaneous acceleration {eq}a(v) = \alpha/(v + u) \ \rm m/s^2
{/eq}, where {eq}\alpha = -22.0 \ \rm m^2/s^3
{/eq}, {eq}v
{/eq} is the instantaneous velocity of the train, and {eq}u = 0.2 \ \rm m/s
{/eq}. Determi... | 269.38 m | Float | Physics | University |
1866733 | What is the relation between kinetic energy and maximum heights? | h=v^2sin^2θ/2g | Expression | Physics | Senior High School |
2084139 | A block of mass M, supported by a string, rests on an incline making an angle θ with the horizontal. The length of the string is L and its mass is m << M. Derive an expression for the time interval required for a transverse wave to travel from one end of the string to the other. (Use the following as necessary: m, L, M... | √(mL/(Mg sin θ)) | Expression | Physics | Senior High School |
1065342 | Suppose a soccer player kicks the ball from a distance 35 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 37 degrees above the horizontal. | 19.83 m/s | Float | Physics | Senior High School |
839579 | A single slit forms a diffraction pattern, with the first minimum at an angle of 40.0 degrees from central maximum, when monochromatic light of 520-nm wavelength is used. The same slit, illuminated by a new monochromatic light source, produces a diffraction pattern with the second minimum at a 60.0 degree angle from th... | 350.3 nm | Float | Physics | Senior High School |
1774092 | Find all the wavelengths that would appear in the spectrum of Hydrogen atoms initially in the n = 5 state. | 0.0004cm, 0.0001cm, 4.3417*10^{-5}cm, 9.4974 *10^{-6}cm, 0.00018cm, 4.8627*10^{-5} cm, 9.7254*10^{-6}cm, 6.5646*10^{-5}cm, 1.0257*10^{-5}cm, 1.2156*10^{-5}cm | List | Physics | University |
469743 | The surface of an iron is 250{eq}^o
{/eq}C and the temperature of the surrounding air is 30{eq}^o
{/eq}C . The surface area of the the iron is 5 m{eq}^2
{/eq}.The heat transfer coft of the medium is 50 W/m{eq}^2
{/eq}-0C. Calculate the heat loss from the surface of the iron. | 55000 J | Integer | Physics | Senior High School |
1333399 | Find the center of mass of a thin plate of constant density covering the region bounded by y=x{eq}^2
{/eq} and y=5 | x_cm = 0, y_cm = 3 | List | Physics | University |
759920 | Mr John is driving his car along the road. The radius of his car tyres are 0.28 m. Suddenly, 60 m in front of his car his angry wife stands still trying to stop him. He decelerates at 7.0 m per second to avoid hitting his dear wife. The wheel's angular velocity before the deceleration was 100 rads per second.
Calculat... | 21.875 rad/s^2 | Float | Physics | Senior High School |
2050741 | Two objects are placed on the edge of a circle. They move in opposite directions from the same starting point in order to collide with each other. The first object moves at 0.1 rad/s, and the second moves at 0.25 rad/s. If both objects have the same angular acceleration, what time will they collide? | 17.95 s | Float | Physics | Senior High School |
1830487 | A {eq}40-\mathrm{N}
{/eq} force pulls a {eq}4-\mathrm{kg}
{/eq} a horizontal distance of {eq}8
{/eq} meters. The rope makes an angle of {eq}35
{/eq} degrees with the floor and the coefficient of kinetic friction is {eq}0.2
{/eq}. What is the work done on the block? | 236 J | Integer | Physics | Senior High School |
1265823 | A rigid tank with a volume of {eq}2.00 m^3
{/eq} contains 5.77 kg of saturated liquid-vapor mixture of water at {eq}75^{\circ}C
{/eq}. The water is slowly heated. Determine the temperature at which the liquid in the tank is completely vaporized. Round your answer to the nearest integer. | 155C | Integer | Physics | University |
499676 | On what factors does the frequency of an oscillatory circuit depend on? | f = \frac{1}{2\pi} \sqrt{\frac{1}{LC}} | Expression | Physics | Senior High School |
1139287 | I am struggling with this. I need to convert this velocity in cylindrical coordinates to Cartesian coordinates: $$ V(r, \theta, z) \: \mathrm{to} \: V(u,v,w) $$ $$ V_{r} = 10; \: V_{\theta}= 0; \: V_{z}=0; $$ How can I find the $u,v,w$ components? Edit: Will it be?: $$ u = V_{r} \cos(\theta) - V_{\theta} \sin(\theta) $... | u = 10cos(theta)
v = 10sin(theta)
w = 0 | Expression | Physics | University |
1394269 | A proton is moving parallel to a uniform electric field. The electric field accelerates the proton and increases its linear momentum to {eq}5.0 \times 10^{-23} kg \cdot m/s
{/eq} in time of {eq}6.3\times10^{-6}s
{/eq}. What is the magnitude of the electric field? | 50 N/C | Float | Physics | Senior High School |
583530 | A 4.5 kg particle and a 2.4 kg particle have a gravitational attraction with a magnitude of 2.3 * 10{eq}^{-12}
{/eq} N. What is the gravitational potential energy of the two-particle system? | -4.07e-11 J | Float | Physics | Senior High School |
1916850 | The loop has a mass of 0.055 kg, a width of 0.150 m, and a resistance of {eq}12.0\text{ }\Omega
{/eq} along the wire. The loop is held so that all but its lower segment are inside a region with a uniform magnetic field of 5.2 T directed into the page. The loop has been allowed to fall for a while and its speed is now ... | 5.9 m/s^2 | Float | Physics | Senior High School |
2074239 | If 47.2 cm of copper wire (diameter = 0.770 mm, resistivity = {eq}1.69 \times 10^{-8}\; \Omega-m
{/eq}) is formed into a circular loop and placed perpendicular to a uniform magnetic field that is increasing at the constant rate of 14.7 mT/s, at what rate is thermal energy generated in the loop? | 3.87e-6 J/s | Float | Physics | University |
1348921 | Two 4.0 cm {eq}\times
{/eq} 4.0 cm square aluminum electrodes, spaced 0.50 mm apart, are connected to a 100 V battery. What is the charge on the positive electrode? | 2.832e-9 C | Float | Physics | Senior High School |
1757877 | An electron, starting from rest, accelerates through a potential difference of 406 V. What is the final de Broglie wavelength of the electron, assuming that its final speed is much less than the speed of light? | 6.08e-11 m | Float | Physics | Senior High School |
776839 | A 0.5-kg ball has a position of {eq}5.0\text{ m }\pm \text{ 0}\text{.01 m}
{/eq}. To what minimum uncertainty its momentum be measured?
(Answer: {eq}5.3\times {{10}^{-33}}\text{m}
{/eq}, show work and explain) | 5.30e-33 m | Float | Physics | University |
181482 | How much heat transfer occurs from {eq}20.0\ kg
{/eq} of {eq}90.0 ^\circ C
{/eq} water placed in contact with {eq}20.0\ kg
{/eq} of {eq}10.0 ^\circ C
{/eq} water, producing a final temperature of {eq}50.0 ^\circ C
{/eq}? | 3348.3 kJ | Float | Physics | Senior High School |
1289527 | How much energy is produced when the sun converts 2 kg of mass into energy? | 1.8e+17 J | Float | Physics | Senior High School |
1380787 | The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an ocean current that has a velocity of 2.20 m/s in a direction 30.0 degrees east of north relative to the Earth. It encounters a wind that has a velocity of 4.50 m/s in a direction of 50.0 degrees south of west relative to... | {-3.99i-5.36j} m/s | Expression | Physics | Senior High School |
1130126 | I am reading a book of General Relativity and I am stuck on a demonstration. If I consider the FLRW metric as : $\text{d}\tau^2=\text{d}t^2-a(t)^2\bigg[\dfrac{\text{d}r^2}{1-kr^2}+r^2(\text{d}\theta^2+\text{sin}^2\theta\text{d}\phi^2)\bigg]$ with $g_{tt}=1$, $\quad g_{rr}=\dfrac{a(t)^2}{1-kr^2}$ and $\quad g_{\theta\th... | $\dfrac{d^2 x^\alpha}{d\tau^2} =-\eta^{\alpha \mu}\left(g_{\nu\mu,\beta\alpha}-\dfrac{1}{2}g_{\beta\nu,\mu\alpha}\right)x^{\alpha}\dfrac{dx^\beta}{d\tau}\dfrac{dx^\nu}{d\tau}$ | Expression | Physics | PhD |
1644004 | A uniform thin rod of length {eq}0.64 m
{/eq} and mass {eq}3.2 kg
{/eq} can rotate in a horizontal axis through its center. The rod is at rest when a {eq}43 g
{/eq} bullet traveling in the rotation plane is fires into one end of the rod. As the bullet path makes an angle {eq}\theta=60^{\circ}
{/eq} with the rod, If... | 85.79 m/s | Float | Physics | University |
1335017 | An object with a mass of #6 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 1+cotx #. How much work would it take to move the object over #x in [(pi)/8, (3pi)/8], where x is in meters? | 98.0J | Float | Physics | University |
320901 | An alien spaceship moving at 0.650c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.750c relative to the mother ship. As measured on the Earth, the spaceship is 0.180 ly from the Earth when the landing craft is launched. What is the distance to the Earth at t... | 0.137 ly | Float | Physics | University |
1129823 | How much work is required to stop an electron {eq}(m = 9.11 \times 10^{-31} \ kg)
{/eq} that is moving at a speed of {eq}1.90 \times 10^6 \ m/s
{/eq}? | 1.64 * 10^-18 J | Float | Physics | Senior High School |
509909 | A {eq}7900\ kg
{/eq} truck traveling east at {eq}5\ m/s
{/eq} collides with a {eq}1650\ kg
{/eq} car traveling 300 south of west at {eq}20\ m/s
{/eq}. After the collision at what angle do the two vehicles move. Express you answer in degrees from the positive x-axis. Use a coordinate where north is the +y axis and e... | 304.71 degrees | Float | Physics | Senior High School |
244226 | What is the mass of a galaxy when we observe the orbital speed of a satellite galaxy to be 550 km/s orbiting a distance of 12 kpc from its host galaxy? Express your answer in units of solar-masses. | 8.44e11 solar-masses | Float | Physics | University |
666838 | A stone is dropped from the peak of a hill. It covers a distance of {eq}45
{/eq} meters in the last two seconds of its motion.
Find the height of the peak? | 53.3 m | Float | Physics | Senior High School |
1571271 | Consider a glass of 250 mL of water at 30degree C. Calculate the mass of ice at -15degree C that must be added to cool the water to 10degree C after thermal equilibrium is achieved. To find the mass of water use the density of water = 1.0 g/mL.
g
answer is not 52.58 or 407 grams | 51.55 g | Float | Physics | Senior High School |
986105 | A car with a mass of 1200 kg increases its gravitational potential energy by 25.11 MJ in going from an elevation of 1580 m in Denver to the highest elevation on Trail Ridge Road in the Rocky Mountains. What is the elevation at the high point of the road, in m? Assume gravity is 9.81 m/s{eq}^2
{/eq}. | 3713.027 m | Float | Physics | Senior High School |
402413 | A 0.50-mm-diameter hole is illuminated by the light of wavelength 510 nm. What is the width of the central maximum on a screen 2.2 m behind the slit? | 5.45 mm | Float | Physics | Senior High School |
379856 | A conical shape tank is full of water. The radius of the cone is 4 m and the height is 6 m. Find the work required to pump the water from the top of the tank. Use the fact that water weighs 1000 kg per cubic meter. | 1,477,805.184 J | Float | Physics | University |
1913640 | Explain how to convert {eq}2.46 \times 10^6
{/eq} kJ to kcal. | {eq}5.87\times10^5{/eq} kcal | Expression | Physics | Senior High School |
37111 | A truck is traveling at a speed of 23.0 m/s along a level road. A crate is resting on the bed of the truck, and the coefficient of static friction between the crate and the truck bed is 0.610. Determine the shortest distance in which the truck can come to a halt without causing the crate to slip forward relative to the... | 44.23 m | Float | Physics | Senior High School |
739059 | To better fight fires in your seaside community, the local fire brigade has asked you to construct a pump system to draw seawater from the ocean to the top of the steep cliff adjacent to the water where most of the homes are. If the cliff is 13.4 m high, and the pump is capable of producing a gauge pressure of 149 kPa,... | 19 L/s | Float | Physics | Senior High School |
1537900 | NASA would like to create a ring-shaped space station with artificial gravity by spinning the ring like a centrifuge. Suppose the radius of the ring is 160 m. What period of rotation would be necessary to give an astronaut weight equal to his weight on Earth? | 25 s | Integer | Physics | Senior High School |
861602 | Water at 30 and 100 kPa in a mixing chamber
The quality of the exiting mixture is closer to:
a) 0.67
b) 0.72
c) 0.37
d) 0.29
e) 0.89
f) 0.58
g) 0.13
h) 0.94 | g | Multiple Choice | Physics | University |
1819804 | A flexible loop in the shape of a circle (radius {eq}83 \, \mathrm{cm}
{/eq}, resistance {eq}6.25 \, \mathrm{\Omega}
{/eq}) lies on a horizontal table. The room is filled with a magnetic field (magnitude {eq}9.66 \, \mathrm{T}
{/eq}, pointing upward). In 2.71 seconds, the shape of the loop is changed from a circle t... | 1.66 | Float | Physics | University |
991797 | A 50 ball is fired horizontally with initial speed toward a 110 ball that is hanging motionless from a 1.0 -long string. The balls undergo a head-on, perfectly elastic collision, after which the 110 ball swings out to a maximum angle = 52.
What was {eq}V_{0}
{/eq}? | 4.38 units | Float | Physics | University |
1646230 | An electron is released from rest in a weak electric field given by {eq}(\rm -1.3 \times 10^{-10} \ N/C) \hat j
{/eq}. After the electron has traveled a vertical distance of {eq}\rm 1.1 \ \mu m
{/eq}, what is its speed? | 5.3mm/s | Float | Physics | Senior High School |
1439859 | An object with a mass of #120 g# is dropped into #640 mL# of water at #0^@C#. If the object cools by #6 ^@C# and the water warms by #16 ^@C#, what is the specific heat of the material that the object is made of? | 59.53kJkg^-1K^-1 | Float | Physics | Senior High School |
1291116 | Steam at 1 bar enters an adiabatic heat exchanger with a quality of 0.906 and exits as saturated liquid. the steam is being cooled by a 973 kg/s stream of water which enters the heat exchanger at 20°C and exits at 40°C. The two flows do not mix.
Determine the volumetric flow rate (m{eq}\displaystyle ^3
{/eq}/s) of th... | 60.92 m^3/s | Float | Physics | University |
317519 | A glacier moves with a speed of 64 nm/s. How many years would it take for the glacier to move 0.8 km? Assume there are 365 days in a year. | 397.5 years | Float | Physics | Senior High School |
408360 | The thermosphere is: 1. the layer of atmosphere closest to the Earth’s surface where weather occurs. 2. supports long distance communication because it reflects outgoing radio waves back to Earth without the use of satellites. 3. the layer where auroras form when electrically charged particles from the sun collide with... | 3 | Multiple Choice | Physics | Senior High School |
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 |
1507063 | A bomb is dropped from a plane flying at {eq}4000
{/eq} meters. The plane is flying at {eq}80 \ m/s
{/eq}.
How far, in a horizontal direction, did the bomb hit the ground? | 2288 m | Integer | Physics | Senior High School |
1955633 | A piece of wool is used to charge two plastic spheres. When the spheres are held 300mm apart, they repel each other with 8.00N of force. If the wool ends up with a surplus positive charge of 23.5 {eq}\mu
{/eq}C, what is the charge on each of the two spheres? Enter your answers using two significant digits separated by... | -1.94 x 10^-5 C, -4.14 x 10^-6 C | List | Physics | Senior High School |
1629831 | What is the magnitude of the force on an electron moving with a velocity {eq}\displaystyle \rm v = 2.63 \times 10^6 \ \frac{m}{s}
{/eq} at right angles to a magnetic field {eq}\displaystyle \rm B=7.46 \times 10^{-2} \ T
{/eq}? | 31.4e-15 N | Float | Physics | Senior High School |
712878 | A circular coil (980 turns, radius = 0.078 m) is rotating in a uniform magnetic field. At t = 0 s, the normal to the coil is perpendicular to the magnetic field. At t = 0.027 s, the normal makes an angle of 45{eq}^\circ
{/eq} with the field because the coil has made one-eighth of a revolution. An average emf of magnit... | 1.2e-4 T | Float | Physics | University |
1168057 | An electron is moving through a magnetic field whose magnitude is {eq}6.5 \times 10^{-4}\text{ T}
{/eq}. At a certain instant, when its speed is {eq}5.5 \times 10^{6}\text{ ms}^{-1}
{/eq}, it experiences an acceleration of magnitude {eq}3.0 \times 10^{15}\text{ ms}^{-2}
{/eq}. Determine the angle {eq}\theta
{/eq} b... | 29 degrees | Integer | Physics | Senior High School |
1733621 | A cubic wood piece of mass {eq}13.5 \ gm
{/eq} and volume {eq}0.0027 \ m^3
{/eq} float in water. It is depressed and released , then it executes simple harmonic motion. Calculate the period of oscillation? | 0.306 s | Float | Physics | Senior High School |
183497 | Find the mass of {eq}0 ^\circ C
{/eq} ice that 10 g of {eq}100 ^\circ C
{/eq} steam will completely melt. | 80 g | Integer | Physics | Senior High School |
1124699 | What is the characteristic wavelength of an electron (in {eq}nm
{/eq}) that has a velocity of {eq}5.97 \times 10^6 \ ms^{-1} \ (m_e = 9.11 \times 10^{-31} \ kg)
{/eq}? | 0.12 nm | Float | Physics | Senior High School |
982134 | A bush baby, an African primate, is capable of leaping vertically to the remarkable height of 2.3 m. To jump this high, the bush baby accelerates over a distance of 0.16 m while extending the legs. The acceleration during the jump is approximately constant. What is the acceleration in {eq}m/s^2
{/eq}? | 1.41e2 m/s^2 | Float | Physics | Senior High School |
1689672 | A sphere of diameter 2 cm has a charge density of {eq}6\ nC/m^3
{/eq}. Find the elecric field at a point P which is a distance 5 cm from the center of the sphere. | 9.04e-2 N/C | Float | Physics | University |
409026 | An arrow of mass 0.018 kg is shot upward at an angle from the ground, reaching a maximum height of 25 m with a speed of 62 m/s. Neglecting air resistance, with what speed will the arrow hit the ground? | 65.84m/s | Float | Physics | Senior High School |
1705993 | In an atom, an electron is confined to a space of roughly {eq}10^{-10}
{/eq} meters. If we take this to be the uncertainty in the electron's position, what is the minimum uncertainty {eq}\Delta p
{/eq} in its momentum? | 1.054e-24 kgm/s | Float | Physics | University |
2003640 | A tank in the shape of an inverted right circular cone has height {eq}11
{/eq} feet and radius {eq}20
{/eq} feet. It is filled with {eq}7
{/eq} feet of hot chocolate.
Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is {eq}\displaystyle \de... | 10173056.86 lb/ft | Float | Physics | University |
564780 | Two charges, one of 2.50 {eq}\mu
{/eq}C and the other of -3.50 {eq}\mu
{/eq}C, are placed on the x-axis, one at the origin and the other at x = 0.600 m. Find the position on the x-axis where the net force on a small charge +q would be zero. Express your answer in meters. | 0.275 m | Float | Physics | Senior High School |
176892 | A person takes a trip, driving with a constant speed 94 km/h except for a 50 min rest stop. If the person's average velocity is 74 km/h, how far is the trip?. | 290.126 km | Float | Physics | Senior High School |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 10