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Beginner
Mathematical
GQ

Two balls have their centers \( 2.0 \) \( \text{m} \) apart. One ball has a mass of \( 8.0 \) \( \text{kg} \). The other has a mass of \( 6.0 \) \( \text{kg} \). What is the gravitational force between them?

Intermediate
Proportional Analysis
MCQ

A fluid flows through the two sections of cylindrical pipe shown in the figure. The narrow section of the pipe has radius \( R \) and the wide section has radius \( 2R \). What is the ratio of the fluid’s speed in the wide section of pipe to its speed in the narrow section of pipe, \( \dfrac{v_{\text{wide}}}{v_{\text{narrow}}} \)?

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.

Intermediate
Mathematical
GQ

An object with a mass \(m = 80 \, \text{g}\) is attached to a spring with a force constant \(k = 25 \, \text{N/m}\). The spring is stretched \(52.0 \, \text{cm}\) and released from rest. If it is oscillating on a horizontal frictionless surface, determine the velocity of the mass when it is halfway to the equilibrium position.

Beginner
Mathematical
MCQ

A meter stick of mass \( .2 \) kg is pivoted at one end and supported horizontally. A force of \( 3 \) N downwards is applied to the free end, perpendicular to the length of the meter stick. What is the net torque about the pivot point?

Advanced
Mathematical
FRQ

Two masses, \( m_1 \) and \( m_2 \), are suspended on either side of a pulley with a radius \( R \), as shown. The heavier mass, \( m_2 \), is initially held at rest above the ground by a distance \( h \) before being released. An student measures that it takes an amount of time \( t \) for the heavier mass to hit the ground after being released.

Intermediate
Conceptual
MCQ

The rotating systems, shown in the figure above, differ only in that the two identical movable masses are positioned a distance r from the axis of rotation (left), or a distance r/2 from the axis of rotation (right). What happens if you release the hanging blocks simultaneously from rest?

Intermediate
Mathematical
MCQ

A box with a mass of \( M \) rests on a scale in an elevator that is moving downwards. The elevator slows with an acceleration of \( \dfrac{g}{4} \). Which of the following will give the reading of the scale?

Intermediate
Proportional Analysis
MCQ

Four systems are in rotational motion. Which of the following combinations of rotational inertia and angular speed for each of the systems corresponds to the greatest rotational kinetic energy?

System Rotational Inertia Angular Speed
A \( I_0 \) \( \omega_0 \)
B \( I_0 \) \( 4\, \omega_0 \)
C \( 2 I_0 \) \( 2\, \omega_0 \)
D \( 6 I_0 \) \( \omega_0 \)
Intermediate
Mathematical
FRQ

A spacecraft accelerates at a rate of \(20.0 \, \text{m/s}^2\).

Beginner
Conceptual
MCQ

A ball is thrown straight up. What are the velocity and acceleration of the ball at the highest point in its path?

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