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Intermediate
Mathematical
MCQ


A point on the edge of a disk rotates around the center of the disk with an initial angular velocity of 3 rad/s clockwise. The graph shows the point’s angular acceleration as a function of time. The positive direction is considered to be counterclockwise. All frictional forces are considered to be negligible.

Beginner
Conceptual
FRQ

Intermediate
Mathematical
GQ

A 45 kg crate accelerates at 1.65 m/s2 when pulled by a rope with a force of 200 N. Find the angle the rope is pulled at. Friction is negligible.

Intermediate
Mathematical
FRQ

A rescue helicopter lifts a 79 kg person straight up by means of a cable. The person has an upward acceleration of 0.70 m/s2 and is lifted through a distance of 11 m.

Intermediate
Conceptual
MCQ

A crate rests on a horizontal surface and a woman pulls on it with a 10-N force. No matter what the orientation of the force, the crate does not move. From least to greatest, rank the normal force on the crate.

Beginner
Conceptual
MCQ

A baseball is hit high and far across a field. Which of the following statements is true? At the highest point:

Advanced
Mathematical
FRQ

A uniform ladder with mass \( m_2 \) and length \( L \) rests against a smooth wall. A do-it-yourself enthusiast of mass \( m_1 \) stands on the ladder a distance \( d \) from the bottom (measured along the ladder). The ladder makes an angle \( \theta \) with the ground. There is no friction between the wall and the ladder, but there is a frictional force of magnitude \( f \) between the floor and the ladder. \( N_1 \) is the magnitude of the normal force exerted by the wall on the ladder, and \( N_2 \) is the magnitude of the normal force exerted by the ground on the ladder. Throughout the problem, consider counterclockwise torques to be positive.

Intermediate
Conceptual
MCQ

A horizontal tube with two vertical T-branches (A and B) is partially submerged in a liquid, with the open ends of the branches exposed to the air. However, the section of the tube above point B is hidden from view and may either be wider or narrower than the section above A.

Air is blown through the horizontal tube, causing the liquid levels in the vertical branches to rise as shown. Based on the observed water levels, which of the following best describes the characteristics of the hidden section of the tube above B?

Intermediate
Conceptual
MCQ
Experiment Initial Velocity of Cart X \( (\text{m/s}) \) Initial Velocity of Cart Y \( (\text{m/s}) \) Final Velocity of Cart X \( (\text{m/s}) \) Final Velocity of Cart Y \( (\text{m/s}) \)
\( 1 \) \( 1 \) \( 0 \) \( 0 \) \( 1 \)
\( 2 \) \( 1 \) \( -1 \) \( -1 \) \( 1 \)
\( 3 \) \( 2 \) \( 1 \) \( 1 \) \( 2 \)

A student performs several experiments in which two carts collide as they travel along a horizontal surface. Cart X and Cart Y both have a mass of \( 1 \) \( \text{kg} \). Data collected from the three experiments are shown in the table above. During which experiment does the center of mass of the system of two carts have the greatest change in its momentum?

Advanced
Conceptual
MCQ

Two uniform solid balls, one of radius \( R \) and mass \( M \), the other of radius \( 2R \) and mass \( 8M \), roll down a high incline. They start together from rest at the top of the incline. Which one will reach the bottom of the incline first?

Beginner
Conceptual
MCQ

A student is designing an experiment to find the spring constant \( k \) of a spring using only a set of known masses and a stopwatch. Which procedure would work?

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