subject stringclasses 4 values | question stringlengths 0 1.78k | answer int8 0 4 | choices listlengths 3 5 | image imagewidth (px) 91 915 | hint stringclasses 1 value | task stringclasses 1 value | grade stringclasses 1 value | topic stringclasses 1 value | category stringclasses 1 value | skill stringclasses 1 value | lecture stringclasses 1 value | solution stringclasses 1 value |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
Physics | In the diagram above, a mass m starting at point A is projected with the same initial horizontal velocity v0 along each of the three tracks shown here (with negligible friction) sufficient in each case to allow the mass to reach the end of the track at point B. (Path 1 is directed up, path 2 is directed horizontal, and path 3 is directed down.) The masses remain in contact with the tracks throughout their motions. The displacement A to B is the same in each case, and the total path length of path 1 and 3 are equal. If t1,t2, and t3 are the total travel times between A and B for paths 1, 2, and 3, respectively, what is the relation among these times?
| 0 | [
"t3 < t2 < t1",
"t2 < t3 < t1",
"t2 < t1 = t3",
"t2 = t3 < t1"
] | |||||||||
Physics | The graph above shows the velocities of two objects undergoing a head-on collision. Given that Object 1 has 4 times the mass of Object 2, which type of collision is it?
| 0 | [
"Perfectly elastic",
"Perfectly inelastic",
"Inelastic",
"Cannot be determined"
] | |||||||||
Physics | Determine the total power dissipated through the circuit shown above in terms of v, R1, R2, and R3.
| 3 | [
"$ \\frac{V^2}{R_1 + R_2 + R_3} $",
"$ \\frac{R_1 + R_2 + R_3}{V^2} $",
"$ \\frac{R_1 (R_2 + R_3)}{V^2 (R_1 + R_2 + R_3)} $",
"$ \\frac{V^2 (R_1 + R_2 + R_3)}{R_1 (R_2 + R_3)} $"
] | |||||||||
Physics | If v = 100 V, R1 = 50 Ω, R2 = 80 Ω and R3 = 120 Ω, determine the voltage across R3.
| 1 | [
"100 V",
"60 V",
"40 V",
"20 V"
] | |||||||||
Physics | Question below refers to the following information:A rigid rod of length L and mass M sits at rest on an air table with negligible friction. A small blob of putty with a mass of m moves to the right on the same table, as shown in overhead view in the figure. The putty hits and sticks to the rod, a distance of 2L/3 from the top end.How will the rod-putty system move after the collision?
| 1 | [
"The system will have no translational motion, but it will rotate about the rod’s center of mass.",
"The system will move to the right and rotate about the rod-putty system’s center of mass.",
"The system will move to the right and rotate about the rod’s center of mass.",
"The system will have no translational motion, but it will rotate about the rod-putty system’s center of mass."
] | |||||||||
Physics | Question below refers to the following information:A rigid rod of length L and mass M sits at rest on an air table with negligible friction. A small blob of putty with a mass of m moves to the right on the same table, as shown in overhead view in the figure. The putty hits and sticks to the rod, a distance of 2L/3 from the top end.What quantities, if any, must be conserved in this collision?
| 3 | [
"Linear momentum only",
"Neither linear nor angular momentum",
"Angular momentum only",
"Linear and angular momentum"
] | |||||||||
Physics | Bob and Tom hold a rod with a length of 8 m and weight of 500 N. Initially, Bob and Tom each hold the rod 2 m from the its ends, as shown in the figure. Next, Tom moves slowly toward the right edge of the rod, maintaining his hold. As Tom moves to the right, what happens to the torque about the rod’s midpoint exerted by each person?
| 2 | [
"Bob’s torque decreases, and Tom’s torque increases.",
"Bob’s torque increases, and Tom’s torque decreases.",
"Both Bob’s and Tom’s torque increases.",
"Both Bob’s and Tom’s torque decreases."
] | |||||||||
Physics | An object of mass m hangs from two ropes at unequal angles, as shown in the figure. Which of the following makes correct comparisons between the horizontal and vertical components of the tension in each rope?
| 0 | [
"Horizontal tension is equal in both ropes, but vertical tension is greater in rope A.",
"Both horizontal and vertical tension are equal in both ropes",
"Horizontal tension is greater in rope B, but vertical tension is equal in both ropes.",
"Both horizontal and vertical tension are greater in rope B"
] | |||||||||
Physics | Question below refers to the following information:Block B is at rest on a smooth tabletop. It is attached to a long spring, which in turn is anchored to the wall. Identical block A slides toward and collides with block
B. Consider two collisions, each of which occupies a duration of about 0.10 s:Collision I: Block A bounces back off of block B.Collision II: Block A sticks to block B.In which collision, if either, does block B move faster immediately after the collision?
| 0 | [
"In collision I, because block A experiences a larger change in momentum, and conservation of momentum requires that block B does as well.",
"In collision I, because block A experiences a larger change in kinetic energy, and conservation of energy requires that block B does as well.",
"In neither collision, because conservation of momentum requires that both blocks must have the same momentum as each other in each collision.",
"In neither collision, because conservation of momentum requires that both blocks must change their momentum by the same amount in each collision."
] | |||||||||
Physics | If two people pull with a force of 1000 N each on opposite ends of a rope and neither person moves, what is the magnitude of tension in the rope?
| 2 | [
"0 N",
"500 N",
"1000 N",
"2000 N"
] | |||||||||
Physics | Two identical blocks are stacked on top of each other and placed on a table. To overcome the force of static friction, a force of 10 N is required. If the blocks were placed side by side and pushed as shown in the figure above, how much force would be required to move them?
| 1 | [
"$\\frac{10 \\sqrt{2}}{2 \\mathrm{~N}}$",
"10 N",
"$10 \\sqrt{2} \\mathrm{~N}$",
"20 N"
] | |||||||||
Physics | A block of known mass M is connected to a horizontal spring that is sliding along a flat, frictionless surface. There is an additional block of known mass m resting on top of the first block. Which of the following quantities would NOT be needed to determine whether the top block will slide off the bottom block?
| 3 | [
"The maximum coefficient of static friction between the blocks",
"The amplitude of the system's motion",
"The spring constant",
"The average speed of the blocks"
] | |||||||||
Physics | Question below refers to the below circuit diagram.If switch S1 is connected to point A but switch S2 is left unconnected, what is the current through the 1-Ω resistor?
| 1 | [
"0 A",
"2 A",
"3 A",
"72/11 A"
] | |||||||||
Physics | Question below refers to the below circuit diagram.If switch S2 is connected to point B but switch S1 is left unconnected, what is the current through the 1-Ω resistor?
| 2 | [
"0 A",
"2 A",
"3 A",
"288/19 A"
] | |||||||||
Physics | Question below refers to the below circuit diagram.If both switches S1 and S2 are left in the unconnected positions, what is the current through the 1-Ω resistor?
| 0 | [
"0 A",
"1 A",
"5 A",
"36 A"
] | |||||||||
Physics | In real projectile motion, an object experiences three forces: gravity, drag, and lift. These are depicted in the picture above. Given this information, how does lift affect the speed of a projectile?
| 3 | [
"Increases",
"Decreases",
"Varies",
"It has no effect."
] | |||||||||
Physics | The picture above shows a tube open at one end. A standing wave is represented by the dotted curves. If this wave has frequency f, what is the frequency of the next harmonic that can be formed in this tube?
| 2 | [
"1/2 f",
"2f",
"3f",
"The above wave shows the highest possible harmonic frequency for this system."
] | |||||||||
Physics | Which of the following correctly describes an electron moving from point A to point B in the situation above? Assume the two regions of charge are identical in magnitude and only different in sign.
| 1 | [
"The electron moves with increasing speed and gains electric potential energy.",
"The electron moves with increasing speed and loses electric potential energy.",
"The electron moves with decreasing speed and gains electric potential energy.",
"The electron moves with decreasing speed and loses electric potential energy."
] | |||||||||
Physics | What is the equivalent resistance of the electric circuit in the picture above?
| 3 | [
"0.46 Ω",
"1.2 Ω",
"4.5 Ω",
"14.5 Ω"
] | |||||||||
Physics | Escape velocity is defined as the minimum speed at which an object must be launched to "break free" from a massive body's gravitational pull. Which of the following principles could be used to derive this speed for a given planet?
| 3 | [
"Conservation of Linear Momentum",
"Newton's Third Law",
"Conservation of Angular Momentum",
"Conservation of Energy"
] | |||||||||
Physics | An ambulance is driving toward you. As it approaches, which of the following correctly describes the changes in the sound of the siren's pitch and intensity?
| 0 | [
"Increasing pitch, increasing intensity",
"Increasing pitch, decreasing intensity",
"Decreasing pitch, increasing intensity",
"Decreasing pitch, decreasing intensity"
] | |||||||||
Physics | The graph above depicts a medium's instantaneous displacement from equilibrium, caused by a wave, as a function of distance from the source. If the wave has a speed of 600 m/s, which of the following is the best approximation of the wave's frequency?
| 1 | [
"50 Hz",
"100 Hz",
"200 Hz",
"Cannot be determined without additional information"
] | |||||||||
Physics | Both of the above strings have their ends locked in place. The two strings have the same linear density, but the first string, S1, is twice as long as the second string, S2. If sound waves are going to be sent through both, what is the correct ratio of the fundamental frequency of S1 to the fundamental frequency of S2?
| 3 | [
"2:1",
"$\\sqrt{2}: 1$",
"$1: \\sqrt{2}$",
"1:2"
] | |||||||||
Physics | A pendulum with a ball of mass m hanging from a string of length l is set in motion on Earth, and the system is found to have a frequency of f. If the length of the string were doubled, the hanging mass tripled, and the system moved to the moon, what would be the new frequency?NOTE: Acceleration due to gravity of the Moon is approximately of Earth's.
| 1 | [
"$\\frac{1}{12} f$",
"$\\sqrt{\\frac{1}{12}} f$",
"$\\sqrt{12} f$",
"12f"
] | |||||||||
Physics | A block of mass M is at rest on a table. It is connected by a string and pulley system to a block of mass m hanging off the edge of the table. Assume the hanging mass is heavy enough to make the resting block move. Knowing the acceleration of the system and the mass of each block is sufficient to calculate all of the following quantities EXCEPT which one?
| 3 | [
"Net force on each block",
"Tension in the string",
"Coefficient of kinetic friction between the table and the block of mass M",
"The speed of the block of mass M when it reaches the edge of the table"
] | |||||||||
Physics | A block of mass m is connected by a string which runs over a frictionless pulley to a heavier block of mass M. The smaller block rests on an inclined plane of angle θ, and the larger block hangs over the edge, as shown above. In order to prevent the blocks from moving, the coefficient of static friction must be
| 2 | [
"$\\frac{mgsin\\theta}{Mg-mg\\cos\\theta}$",
"$\\frac{Mg-mgsin\\theta}{Mg\\cos\\theta}$",
"$\\frac{Mg-mgsin\\theta}{mg\\cos\\theta}$",
"$\\frac{Mg-mg\\cos\\theta}{mg\\sin\\theta}$"
] | |||||||||
Physics | A comet orbits the Sun in a periodic elliptical orbit as shown below:A comet orbits the Sun in a periodic elliptical orbit as shown below:
A comet orbits the Sun in a periodic elliptical orbit as shown below:What happens to the gravitational potential energy and the kinetic energy, respectively, of the comet-Sun system as the comet moves from point A to point B?
A comet orbits the Sun in a periodic elliptical orbit as shown below:Ug K
| 3 | [
"Increases Increases",
"Decreases Decreases",
"Increases Decreases",
"Decreases Increases"
] | |||||||||
Physics | A comet orbits the Sun in a periodic elliptical orbit as shown below:A comet orbits the Sun in a periodic elliptical orbit as shown below:
A comet orbits the Sun in a periodic elliptical orbit as shown below:As the comet moves from point A to point B, what happens to the comet's angular momentum about the Sun?
| 3 | [
"Increases linearly",
"Increases proportionally to the square of the distance from the Sun",
"Decreases",
"Stays constant"
] | |||||||||
Physics |
Four identical rods shown above experience the forces as shown. Rank the magnitude of the torques about the pivot point on the left end of the rod.
| 2 | [
"III > I = IV > II",
"II > IV > III > I",
"I = III = IV > II",
"III > II > I > IV"
] | |||||||||
Physics | The diagram below shows a top-view of a rod that is free to rotate about its center and is initially rotating with a positive counter-clockwise angular velocity. Two forces are applied to the rod that are steady in magnitude and will continue to act perpendicular to the rod, even after it rotates.The diagram below shows a top-view of a rod that is free to rotate about its center and is initially rotating with a positive counter-clockwise angular velocity. Two forces are applied to the rod that are steady in magnitude and will continue to act perpendicular to the rod, even after it rotates.
The diagram below shows a top-view of a rod that is free to rotate about its center and is initially rotating with a positive counter-clockwise angular velocity. Two forces are applied to the rod that are steady in magnitude and will continue to act perpendicular to the rod, even after it rotates.What value of the unknown downward force will result in a constant angular velocity of the rod?
| 2 | [
"F",
"F/2",
"2F",
"4F"
] | |||||||||
Physics |
The figure above shows four identically shaped disks, each with a fixed axis of rotation at their centers. Disk IV has twice the rotational inertia of disks I, II, and III. The disks are subjected to a variety of forces as shown. Rank the magnitude of the angular acceleration of the disks.
| 3 | [
"III > II = IV > I",
"I = II = III = IV",
"II = IV > I = III",
"II > I = III = IV"
] | |||||||||
Physics | Questions below are based on the following figure of a mass-spring system. Assume the mass is pulled back to position +A and released, and it slides back and forth without friction.At what position does the mass have the greatest acceleration?
| 0 | [
"-A",
"-A/2",
"0",
"+A/2"
] | |||||||||
Physics | Questions below are based on the following figure of a mass-spring system. Assume the mass is pulled back to position +A and released, and it slides back and forth without friction.When the mass reaches position 0, what can be said about its speed?
| 1 | [
"It is at its minimum.",
"It is at its maximum.",
"It is zero.",
"It is decreasing."
] | |||||||||
Physics |
In the physics lab, a hooked mass is hung from a string as shown above. A photogate is set up at the bottom of the swing that provides a signal to the computer when and infrared beam (represented by the dashed line on the diagram) is blocked or unblocked by the hooked mass. How can the photogate signal be used to measure the oscillation period of the swing of the hooked mass?
| 3 | [
"Divide the diameter of the hooked mass by the elapsed time between when the beam is blocked and subsequently unblocked.",
"Measure the elapsed time between when the beam is blocked and subsequently unblocked.",
"Measure the elapsed time between when the beam is blocked and subsequently blocked again.",
"Double the elapsed time between when the beam is blocked and subsequently blocked again."
] | |||||||||
Physics |
A spring-mass system hangs on a ring stand that rests on top of a cabinet as shown in the diagram above. The cabinet houses the air compressor for a physics lab. The compressor shakes the ring stand 0.2 cm up and down at a rate of 6 vibrations per second. Which of the following is a true statement?
| 2 | [
"The maximum vibration amplitude of the spring-mass system is 0.2 cm.",
"The spring-mass system will only vibrate for very high values of the spring constant.",
"The spring-mass system may vibrate with an amplitude considerably greater than 0.2 cm.",
"The spring-mass system will vibrate wildly if it has a natural frequency of 12 vibrations per second."
] | |||||||||
Physics |
The graph shows the displacement versus time for an object. Which equation best describes its displacement in meters?
| 2 | [
"Îx = 20 cos(0.5t)",
"Îx = 10 cos(2t)",
"Îx = 10 cos(Ït)",
"Îx = 20 sin(Ït)"
] | |||||||||
Physics |
An isolated, stationary sphere of mass 4m explodes into three fragments as shown in the figure above. The fragment with mass 2m moves vertically upward with a speed V and the fragment with mass m moves to the left with speed 2V. What is the magnitude and direction of the momentum of the third fragment?
Magnitude of momentum Direction
| 2 | [
"2mV â",
"â2(mV) â",
"2â2(mV) â",
"0 None"
] | |||||||||
Physics |
As shown in the diagram above, a block of mass m and speed vo has an elastic collision with a second block of unknown mass that is originally at rest. The first block bounces back in the opposite direction at half its original speed. Is it possible to find the unknown mass and the final velocity of the second block in terms of the given quantities?
| 1 | [
"No. Momentum conservation may be applied to this collision, but there are too many unknowns to find a solution.",
"Yes. Momentum is conserved as well as mechanical energy. Both principles may be used together to solve this problem.",
"Yes. Momentum conservation alone is sufficient to determine the unknown mass and velocity.",
"Yes. Energy conservation alone is sufficient to determine the unknown mass and velocity."
] | |||||||||
Physics |
A 4-kg lab cart is moving to the right at a velocity of +5 m/s and has a head-on collision with a 2-kg lab cart moving at an unknown initial velocity. After a perfectly inelastic collision, the system moves to the right with a velocity of +2 m/s. Determine the velocity of the 2-kg cart before the collision.
| 1 | [
"+4 m/s",
"-4 m/s",
"+8 m/s",
"-8 m/s"
] | |||||||||
Physics | A 50.0-g ball moving to the left strikes a wall and bounces back to the right. Slow-motion video analysis produces the following horizontal position versus time graph.A 50.0-g ball moving to the left strikes a wall and bounces back to the right. Slow-motion video analysis produces the following horizontal position versus time graph.
A 50.0-g ball moving to the left strikes a wall and bounces back to the right. Slow-motion video analysis produces the following horizontal position versus time graph.The video camera used in the experiment has a frame rate of 30 pictures per second. In the video, the ball makes contact with the floor for three frames. What is the magnitude and direction of the average force that the ball exerts on the wall?
| 2 | [
"7.2 N to the right",
"4.5 N to the right",
"4.5 N to the left",
"7.2 N to the left"
] | |||||||||
Physics | A 50.0-g ball moving to the left strikes a wall and bounces back to the right. Slow-motion video analysis produces the following horizontal position versus time graph.A 50.0-g ball moving to the left strikes a wall and bounces back to the right. Slow-motion video analysis produces the following horizontal position versus time graph.
A 50.0-g ball moving to the left strikes a wall and bounces back to the right. Slow-motion video analysis produces the following horizontal position versus time graph.Determine the momentum change of the bouncing ball.
| 1 | [
"+0.05 kg à m/s",
"+0.45 kg à m/s",
"-0.45 kg à m/s",
"-0.05 kg à m/s"
] | |||||||||
Physics |
The graph above of momentum versus time depicts the motion of a box being pushed across a horizontal floor with negligible friction. Which of the following statements describes the force upon the box?
| 2 | [
"The force on the box is constant.",
"The force on the box is decreasing.",
"The force on the box is increasing.",
"More information is needed to describe the force on the box."
] | |||||||||
Physics |
A 500-kg spaceship in deep space is holding a 50-kg space probe, and the pair is initially drifting to the right at 20 m/s as shown in the first diagram above. If the spaceship fires the probe to the left at 40 m/s, what is the new speed of the spaceship?
| 3 | [
"9 m/s",
"13 m/s",
"18 m/s",
"26 m/s"
] | |||||||||
Physics |
A 1-kg block of dry ice moving at 6 m/s collides and sticks to a 2-kg block of dry ice initially at rest. The combination slides off a 20-m tall cliff as shown in the diagram above. What is the horizontal distance from the base of the cliff to the landing location of the block combination?
| 1 | [
"1 m",
"2 m",
"4 m",
"5 m"
] | |||||||||
Physics | An 1,800-kg truck moving north at 15 m/s has a head-on collision with a 900-kg car moving south at 22 m/s. During the collision, compare the magnitudes of the following quantities for the car versus the truck during the collision.
An 1,800-kg truck moving north at 15 m/s has a head-on collision with a 900-kg car moving south at 22 m/s. During the collision, compare the magnitudes of the following quantities for the car versus the truck during the collision.Force Acceleration Momentum change
| 1 | [
"Same Same Same",
"Same Different Same",
"Different Same Different",
"Different Different Different"
] | |||||||||
Physics |
The graph above depicts how the momentum of a box pushed across the floor changes with time. Which of the following statements describes the force on the box?
| 2 | [
"The force on the box is a constant 0.5 N.",
"The force on the box is a constant 1 N.",
"The force on the box is a constant 2 N.",
"The force on the box is 2 N and increasing."
] | |||||||||
Physics |
A person pulls a 25-kg block of dry ice (initially at rest) with a changing force as shown in the diagram and graph above. The block moves a distance of 6.0 m along a frictionless table in 3.2 s of time. Determine the power output of the person.
| 0 | [
"56 W",
"75 W",
"90 W",
"180 W"
] | |||||||||
Physics |
In its initial state, the 75-kg wrecking ball shown in the diagram above is released from rest at a distance of 3.5 m off the ground. After swinging back and forth multiple times, it's captured in its final state swinging up at a speed of 5.0 m/s at the instant it is 2.0 m off the ground. Determine the total work done by dissipative forces (such as air drag and pivot friction) on the pendulum system between its initial and final states.
| 1 | [
"0 J",
"-190 J",
"-560 J",
"-1,700 J"
] | |||||||||
Physics |
A tall sailing ship (m = 1.43 à 104 kg) is initially at rest. A steady wind blows at the 60° angle shown in the diagram and moves the ship forward a distance of 850 m. The ship's final speed is 9.0 m/s. Assuming that water resistance is negligible, what is the force of the wind on the boat?
| 3 | [
"200 N",
"390 N",
"680 N",
"790 N"
] | |||||||||
Physics | A 5-kg box slides 10 m diagonally down a frictionless ramp inclined at 45°. At the bottom of the ramp, it slides on a rough horizontal concrete floor with a coefficient of friction of 0.6.A 5-kg box slides 10 m diagonally down a frictionless ramp inclined at 45°. At the bottom of the ramp, it slides on a rough horizontal concrete floor with a coefficient of friction of 0.6.
A 5-kg box slides 10 m diagonally down a frictionless ramp inclined at 45°. At the bottom of the ramp, it slides on a rough horizontal concrete floor with a coefficient of friction of 0.6.How far does the box travel on the concrete before coming to a complete stop?
| 3 | [
"6 m",
"8 m",
"10 m",
"12 m"
] | |||||||||
Physics | A 5-kg box slides 10 m diagonally down a frictionless ramp inclined at 45°. At the bottom of the ramp, it slides on a rough horizontal concrete floor with a coefficient of friction of 0.6.A 5-kg box slides 10 m diagonally down a frictionless ramp inclined at 45°. At the bottom of the ramp, it slides on a rough horizontal concrete floor with a coefficient of friction of 0.6.
A 5-kg box slides 10 m diagonally down a frictionless ramp inclined at 45°. At the bottom of the ramp, it slides on a rough horizontal concrete floor with a coefficient of friction of 0.6.What is the speed of the box as it reaches the bottom of the ramp?
| 2 | [
"6 m/s",
"10 m/s",
"12 m/s",
"14 m/s"
] | |||||||||
Physics |
A spacecraft in deep space is isolated from its surroundings and is initially moving with the velocity v shown in the diagram above. It has thrusters on a swivel that fire such that the spacecraft experiences three possible forces that act at fixed angles relative to the velocity vector of the spacecraft. With each of the forces separately with a steady magnitude, what initially happens to the kinetic energy K, of the spacecraft?
F1 F2 F3
| 0 | [
"K decreases K constant K increases",
"K increases K increases K increases",
"K decreases K constant K decreases",
"K increases K decreases K decreases"
] | |||||||||
Physics | An experiment was conducted with a hoop spring attached to a force probe, both of which were mounted to a low friction dynamics cart. The compression of a hoop spring may be modeled as a Hookean spring. The system was placed on a horizontal track with a motion encoder to measure the displacement of the cart. The following graph shows the experimental force vs. displacement for a black hoop (steeper line) and a white hoop, each tested separately. The white hoop/probe/cart mass is 0.500 kg and the black hoop/probe/cart mass is 1.000 kg.An experiment was conducted with a hoop spring attached to a force probe, both of which were mounted to a low friction dynamics cart. The compression of a hoop spring may be modeled as a Hookean spring. The system was placed on a horizontal track with a motion encoder to measure the displacement of the cart. The following graph shows the experimental force vs. displacement for a black hoop (steeper line) and a white hoop, each tested separately. The white hoop/probe/cart mass is 0.500 kg and the black hoop/probe/cart mass is 1.000 kg.
An experiment was conducted with a hoop spring attached to a force probe, both of which were mounted to a low friction dynamics cart. The compression of a hoop spring may be modeled as a Hookean spring. The system was placed on a horizontal track with a motion encoder to measure the displacement of the cart. The following graph shows the experimental force vs. displacement for a black hoop (steeper line) and a white hoop, each tested separately. The white hoop/probe/cart mass is 0.500 kg and the black hoop/probe/cart mass is 1.000 kg.How far must the white cart's hoop be compressed against the wall for it to leave at the same speed as the black-hoop cart moved in the previous question?
| 1 | [
"5.0 cm",
"5.7 cm",
"6.2 cm",
"8.1 cm"
] | |||||||||
Physics | An experiment was conducted with a hoop spring attached to a force probe, both of which were mounted to a low friction dynamics cart. The compression of a hoop spring may be modeled as a Hookean spring. The system was placed on a horizontal track with a motion encoder to measure the displacement of the cart. The following graph shows the experimental force vs. displacement for a black hoop (steeper line) and a white hoop, each tested separately. The white hoop/probe/cart mass is 0.500 kg and the black hoop/probe/cart mass is 1.000 kg.An experiment was conducted with a hoop spring attached to a force probe, both of which were mounted to a low friction dynamics cart. The compression of a hoop spring may be modeled as a Hookean spring. The system was placed on a horizontal track with a motion encoder to measure the displacement of the cart. The following graph shows the experimental force vs. displacement for a black hoop (steeper line) and a white hoop, each tested separately. The white hoop/probe/cart mass is 0.500 kg and the black hoop/probe/cart mass is 1.000 kg.
An experiment was conducted with a hoop spring attached to a force probe, both of which were mounted to a low friction dynamics cart. The compression of a hoop spring may be modeled as a Hookean spring. The system was placed on a horizontal track with a motion encoder to measure the displacement of the cart. The following graph shows the experimental force vs. displacement for a black hoop (steeper line) and a white hoop, each tested separately. The white hoop/probe/cart mass is 0.500 kg and the black hoop/probe/cart mass is 1.000 kg.If the cart with the black hoop is pushed against a wall and compresses the spring 5.0 cm, how fast will it be released?
| 1 | [
"0.22 m/s",
"0.44 m/s",
"0.53 m/s",
"0.55 m/s"
] | |||||||||
Physics |
The four blocks shown in the figure above are released from the same height. Blocks B, C, and D are each released from rest, and block A is initially moving horizontally with a speed v. Blocks A and C each have a mass of 1 kg and blocks B and D are each 2 kg. Assuming air drag and incline friction are negligible, rank the speed of each block as it reaches the ground.
| 1 | [
"vA = vB > vC >vD",
"vA > vB = vC = vD",
"vA = vB = vC = vD",
"vB = vD > vA > vC"
] | |||||||||
Physics |
A 3.0-kg object, initially moving to the right with a velocity of +4.0 m/s, experiences a positive net force that decreases linearly throughout the displacement as shown on the graph above. What is the kinetic energy of the object at the instant the net force is zero?
| 2 | [
"24 J",
"51 J",
"99 J",
"174 J"
] | |||||||||
Physics | A roller coaster is initially moving to the right as it approaches point A in the figure below. Assume that air drag and friction are negligible.A roller coaster is initially moving to the right as it approaches point A in the figure below. Assume that air drag and friction are negligible.
A roller coaster is initially moving to the right as it approaches point A in the figure below. Assume that air drag and friction are negligible.At which point is the total mechanical energy of the coaster-Earth system the greatest?
| 3 | [
"Location A",
"Location D",
"Location E",
"It is the same at all points."
] | |||||||||
Physics | A roller coaster is initially moving to the right as it approaches point A in the figure below. Assume that air drag and friction are negligible.A roller coaster is initially moving to the right as it approaches point A in the figure below. Assume that air drag and friction are negligible.
A roller coaster is initially moving to the right as it approaches point A in the figure below. Assume that air drag and friction are negligible.At which location will the roller-coaster car move at the greatest speed?
| 0 | [
"Location E",
"Location B",
"Location C",
"Location D"
] | |||||||||
Physics | A roller coaster is initially moving to the right as it approaches point A in the figure below. Assume that air drag and friction are negligible.A roller coaster is initially moving to the right as it approaches point A in the figure below. Assume that air drag and friction are negligible.
A roller coaster is initially moving to the right as it approaches point A in the figure below. Assume that air drag and friction are negligible.At which locations will a roller-coaster car have the same gravitational potential energy?
| 3 | [
"Locations A and E",
"Locations B and C",
"Locations C and D",
"Locations A and C"
] | |||||||||
Physics | The mass, turn radius, and speed of each car in the table below are shown relative to car | 3 | [
"Which of the following best ranks the centripetal force on the cars?The mass, turn radius, and speed of each car in the table below are shown relative to car A. Which of the following best ranks the centripetal force on the cars?",
"D > A = B > C",
"D > C = B > A",
"D = A = B > C",
"D = B > A > C"
] | |||||||||
Physics |
The graph above depicts the tangential velocities of several circular space stations with different radii. All the stations are spinning. Which of the following statements is true?
| 3 | [
"The centripetal accelerations of the 3 shorter radii space stations are greater than 10 m/s2; those of the larger ones are less than 10 m/s2.",
"The centripetal accelerations of the 3 shorter radii space stations are greater than 5 m/s2; those of the larger ones are less than 5 m/s2.",
"The centripetal accelerations of all the stations are all nearly 5 m/s2.",
"The centripetal accelerations of all the stations are all nearly 10 m/s2."
] | |||||||||
Physics |
The driver of a race car takes a turn on a horizontal track and is moving southeast at a particular instant as shown in the diagram above. If the car is gaining speed, which of the following is a possible direction of acceleration of the car at the instant shown in the diagram?
| 2 | [
"Southwest toward the center of the turn",
"Southeast in the direction of motion",
"South on the diagram",
"Northeast away from the center of the turn"
] | |||||||||
Physics |
A car is moving over the top of a hill at a constant speed. Which of the following may be said about the vertical forces on the car in this scenario?
| 1 | [
"The normal force of the road is greater than the gravitational force from the Earth.",
"The normal force of the road is less than the gravitational force from the Earth.",
"The normal force of the road equals the gravitational force from the Earth.",
"The centrifugal force equals the gravitational force from the Earth."
] | |||||||||
Physics |
An empty 150-kg roller coaster cart is approaching a 6.0-meter-tall circular-shaped loop-the-loop as shown in the figure above. In order to complete the loop, determine the minimum speed of the cart when it is upside-down at the top of the loop.
| 0 | [
"5.5 m/s",
"7.7 m/s",
"10 m/s",
"12 m/s"
] | |||||||||
Physics |
A rope accelerates a 20.0-kg block up a 30° ramp at a rate of 2.0 m/s/s. The kinetic friction coefficient between the block and the ramp is 0.18. Determine the value of the tension in the rope.
| 2 | [
"71 N",
"130 N",
"170 N",
"180 N"
] | |||||||||
Physics |
A force sensor interfaced with a computer pulls horizontally on a 2.0-kg box that is initially at rest on a horizontal surface. The box then breaks free and slides along the surface. The graph above shows how the measured force varies with time. Determine the value for the coefficient of static friction.
| 1 | [
"0.3",
"0.4",
"0.5",
"0.6"
] | |||||||||
Physics |
The sign in the elevator above is suspended by two cables. If the elevator is moving upward at a constant speed, select two of the following statements that are true.
| 2 | [
"The upward normal force on the sign is greater than the individual tensions in each rope.",
"The vertical component of the tension in rope #1 is greater than the downward weight of the sign.",
"The vertical component of the tension in rope #1 balances the downward weight of the sign.",
"The horizontal component of the tension in rope #1 balances the tension in rope #2."
] | |||||||||
Physics |
A rope applies 35 N force as shown in the figure above. As a result, the box accelerates to the left along the surface. In addition to the gravitational force, which two of the following forces act on the box?
| 1 | [
"The downward force of the box on the table",
"The frictional force of the surface on the box",
"The upward force of the table on the box",
"The force of motion to the left on the box"
] | |||||||||
Physics |
The graph above depicts the velocity of a skydiver over time during a vertical fall through the air. Which of the following statements is true about the magnitude of the net force on the skydiver?
| 1 | [
"It increases until the acceleration reaches its maximum and the velocity becomes constant.",
"It decreases until the acceleration reaches zero and the velocity becomes constant.",
"It has a value of zero throughout the skydiver's free fall.",
"It increases until the acceleration reaches zero and the velocity becomes constant."
] | |||||||||
Physics |
An object's position with time is depicted in this graph. At which time range will there be nearly no net force acting on the object?
| 2 | [
"0.5 to 1.0 s",
"1.0 to 1.5 s",
"1.8 to 2.2 s",
"2.5 to 3.5 s"
] | |||||||||
Physics |
A box of unknown mass (m) slides down a plane inclined at an angle (θ) as shown in the diagram above. The plane has a coefficient of friction (μ). Which of the following expressions represents the rate of acceleration (a) of the box?
| 3 | [
"a = g(sinθ - μg cosθ)/m",
"a = g(cosθ - μg sinθ)/m",
"a = g(cosθ - μsinθ)",
"a = g(sinθ - μcosθ)"
] | |||||||||
Physics |
The four blocks shown in the figure above are released from the same height above the ground. Blocks B, C, and D are each released from rest, and block A is initially moving horizontally with a speed v. The mass of blocks A and C is 1 kg and the mass of blocks B and D is 2 kg. Assuming air drag and surface friction are negligible, rank the time it takes each block to reach the ground.
| 3 | [
"tA = tC < tB = tD",
"tA < tB < tC < tD",
"tA = tB = tC = tD",
"tA = tB < tC < tD"
] | |||||||||
Physics |
An airplane uses a cable to tow a large banner advertisement as shown in the figure above. When the airplane cruises at a constant horizontal velocity through the air, which of the following correctly compares forces?
| 1 | [
"The tension force in the cable equals the gravitational force on the banner.",
"The forward force on the airplane equals the air drag force on the airplane and banner.",
"The y-component of cable tension equals the aerodynamic lift force on the airplane.",
"The x-component of cable tension is greater than the air drag force on the banner."
] | |||||||||
Physics | Problems below refer to the system of two boxes connected by a rope as shown below on the floor of an elevator. A force F is applied to the 6-kg box.Assuming negligible friction between the blocks and the elevator floor, determine the value of the tension in the rope between the boxes if F = 24 N.
| 1 | [
"2 N",
"6 N",
"8 N",
"20 N"
] | |||||||||
Physics | Problems below refer to the system of two boxes connected by a rope as shown below on the floor of an elevator. A force F is applied to the 6-kg box.Which of the following pair of forces ALWAYS have the same magnitude, regardless of the state of motion of the system?
| 0 | [
"The force of the rope pulling the 6-kg block to the right and the force of the 6-kg block pulling the rope to the left",
"The force F to the left and the force of the rope pulling the 6-kg box to the right",
"The normal force of the floor on the 6-kg block and the gravitational force on the 6-kg box",
"The force F to the left and the force of the rope on the 2-kg box to the left"
] | |||||||||
Physics |
Only two forces act on a 0.1-kg object. This graph depicts the magnitudes and directions of those two forces. What is the acceleration of the object at the 2-second clock reading?
| 3 | [
"0 m/s2",
"0.2 m/s2",
"1 m/s2",
"2 m/s2"
] | |||||||||
Physics |
The acceleration of a 5-kg object through 4 seconds of elapsed time is shown in the graph above. What is the net force on the object at the 1-second clock reading?
| 0 | [
"-10 N",
"-5 N",
"-2.5 N",
"5 N"
] | |||||||||
Physics |
A boy is pushing a 50-kg crate across horizontal, frictionless rollers. The velocity is changing with time as shown in the graph above. What is the magnitude of the force that the boy applies to the crate?
| 3 | [
"5 N",
"10 N",
"15 N",
"25 N"
] | |||||||||
Physics |
This position-time graph is typical of which type of motion?
| 2 | [
"Motion of an object with an increasing net force acting on it",
"Motion of an object with constant positive net force acting on it",
"Motion of an object with no net force acting on it",
"Motion of an object with negative net force acting on it"
] | |||||||||
Physics | Questions below refer to the 80-kg astronaut and her 40-kg daughter who are floating in deep space shown in the diagram below.Determine the magnitude of the mother's acceleration during her 160 N push on the daughter.
| 3 | [
"0 m/s2",
"0.5 m/s2",
"1 m/s2",
"2 m/s2"
] | |||||||||
Physics | Questions below refer to the 80-kg astronaut and her 40-kg daughter who are floating in deep space shown in the diagram below.If the mother pushes her daughter to the right with a force of 160 N, with what magnitude of force does the daughter push her mother?
| 2 | [
"0 N",
"80 N",
"160 N",
"640 N"
] | |||||||||
Physics |
A box is pulled along a surface by a rope. The acceleration-time graph of an object's motion is shown in the figure above. At what time will the forces acting on the box be balanced?
| 2 | [
"0 s",
"1 s",
"2 s",
"3 s"
] | |||||||||
Physics |
The velocity versus time graph above compares the motion of object A with object B. Which of the following statements is true?
| 1 | [
"Both objects have the same acceleration at the 3-second clock reading.",
"Object B is changing directions near the 2-second clock reading.",
"Object A is slowing down while object B is speeding up throughout the 4-second trip.",
"The displacement of object B is greater than that of object A during the 4-second trip."
] | |||||||||
Physics |
The graph above shows position vs. time for an object. Which of the following best describes the motion of the object?
| 1 | [
"Gaining speed with a positive acceleration",
"Gaining speed with a negative acceleration",
"Losing speed with a positive acceleration",
"Losing speed with a negative acceleration"
] | |||||||||
Physics |
The graph above shows the position of an object versus clock reading. Which of the following best describes the motion of the object during the 6 seconds of elapsed time?
| 2 | [
"The object speeds up for the first 2 seconds and slows down during the final 4 seconds.",
"The object travels a distance of 6 meters during the 6 seconds of elapsed time.",
"The object slows down and then speeds up with a total displacement of -6 meters.",
"The object's acceleration starts out negative and transitions to positive acceleration at the 2-second clock reading."
] | |||||||||
Physics |
The velocity-time graph of an object's motion is shown in this graph. At 10 s, what is the object's displacement relative to its position at t = 0?
| 0 | [
"3 m",
"6 m",
"0 m",
"-6 m"
] | |||||||||
Physics |
Rank the average velocities of the car in regions A, B, C, and E of the graph above.
| 0 | [
"B > A = C > E",
"B = A > C = E",
"B > A = C = E",
"A > B > C = E"
] | |||||||||
Physics |
Which of the following are true about the motion of the carts in the graph above?
| 0 | [
"At the 7-second clock reading, cart 1 is moving with the same speed as cart 2.",
"Cart 1 moves at a constant speed in the negative direction.",
"Cart 1 moves in the negative direction over the entire 8-second trip.",
"At the 8-second clock reading, cart 1 was moving faster than cart 2."
] | |||||||||
Physics |
Which of the following best describes the motion of the car in regions C, D, and E of the velocity versus time graph above?
| 0 | [
"It is slowing down until it reverses direction and speeds back up again.",
"It moves at a constant velocity in the negative direction.",
"It accelerates at a constant, nonzero acceleration except at point C when its acceleration is zero.",
"Its position changes at a constant rate."
] | |||||||||
Physics |
An object's position versus time is depicted in the graph above. Based on the graph, at which time points will the object's velocity be closest to zero?
| 3 | [
"0 s and 2 s",
"0 s and 4 s",
"1 s and 2 s",
"1 s and 3 s"
] | |||||||||
Physics | The four different projectiles are fired from the surface of the Earth with negligible air drag. The following data table compares the four projectiles:Rank the vertical acceleration of the four projectiles.
| 2 | [
"a1 = a2 > a3 > a4",
"a4 < a2 < a3 < a4",
"a1 = a2 = a3 = a4",
"The masses must be known in order to rank the accelerations."
] | |||||||||
Physics | The following diagrams show possible scenarios of a dynamics cart going through 2 photogates:Photogate #1 measures a 0.02-second elapsed time for the cart's vertical rod (diameter = 1.2 cm) to block the infrared beam and then unblock the same beam. Photogate #2 works in the same manner and measures a 0.06-second elapsed time for the rod to pass through the beam. Based on this data and the fact that the photogates are 20 cm apart, describe the motion of the cart and calculate the magnitude of its acceleration.
| 3 | [
"Speeding up with |a| = 0.5 m/s/s",
"Slowing down with |a| = 0.5 m/s/s",
"Speeding up with |a| = 0.8 m/s/s",
"Slowing down with |a| = 0.8 m/s/s"
] | |||||||||
Physics |
The position-time graphs of four different objects are shown in these graphs. If the positive direction is forward, then which object is moving backward at a constant velocity?
| 3 | [
"Object A",
"Object B",
"Object C",
"Object D"
] | |||||||||
Physics |
This graph above depicts the motion of an object on a coordinate system for 10 s. During which time interval is the object moving at a constant positive velocity?
| 0 | [
"0-2 s",
"3-4 s",
"4-6 s",
"6-7 s"
] | |||||||||
Physics |
The position-time graph shown above is typical of which type of motion?
| 3 | [
"Motion with a constant negative velocity",
"Motion with zero velocity",
"Motion with a constant positive acceleration",
"Motion with zero acceleration"
] | |||||||||
Physics |
For the diverging lens shown above, which principle rays are correctly drawn? Select two answers.
| 0 | [
"1",
"2",
"3",
"4"
] | |||||||||
Physics |
The circuit shown above is set up. The switch is closed and a long time passes. What conditions on the two resistors result in the greatest amount of energy stored in the capacitor?
| 3 | [
"The energy stored in the capacitor will be greatest if R1 > R2.",
"The energy stored in the capacitor will be greatest if R1 = R2.",
"The energy stored in the capacitor will be greatest if R1 < R2.",
"The energy will be the same regardless of the resistor values."
] | |||||||||
Physics |
An experiment is conducted to determine the critical angle for light going from glass into air, as shown above. A linear plot is made with a vertical axis of sin (θ1) and a horizontal axis of sin (θ2). How is the critical angle determined from the graph?
| 2 | [
"The critical angle can be found from the slope of the line.",
"The critical angle can be found from the y-intercept of the line.",
"The critical angle can be found from the horizontal axis value which corresponds to the maximum vertical value.",
"The critical angle can be found from the vertical axis value which corresponds to the maximum horizontal value."
] | |||||||||
Physics |
Three cylinders of the same metal act as resistors arranged in series, as shown above. Which of the following correctly ranks the voltage drops across the three resistors?
| 2 | [
"V1 = V2 = V3",
"V3 > V1 > V2",
"V2 > V3 > V1",
"V1 > V3 > V2"
] | |||||||||
Physics |
Charges are distributed as shown above. At point A is a charge of +3Q. At B is a charge of +1Q. At C is a charge of -1Q. What is the direction of the force on a proton located at point P?
| 2 | [
"Up and to the left",
"Down and to the left",
"Up and to the right",
"Down and to the right"
] |
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