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Intermediate
Mathematical
FRQ

Ball A is dropped from the top of a cliff. At the same time, Ball B is thrown straight upward from the ground at \( 30 \) \( \text{m/s} \). The two balls pass each other after \( 2.0 \) \( \text{s} \).

Beginner
Conceptual
GQ

A solid sphere is rotating about an axis through its center at a constant rotation rate. Another hollow sphere of the same mass and radius is rotating about its axis through the center at the same rotation rate. Which sphere has a greater rotational kinetic energy?

Beginner
Conceptual
MCQ

What is the relationship between the period \( T \) and frequency \( f \) of an object in simple harmonic motion?

Advanced
Mathematical
FRQ

Three forces of equal magnitude are applied to a \(3 \, \text{m} \times 2 \, \text{m}\) rectangle. Force \(F_1\) and \(F_2\) act at \(45^\circ\) angles to the vertical as shown, while \(F_3\) acts horizontally.

In short:

\(F_1\): applied at \((0, -2)\), direction SW \(45^\circ\)

\(F_2\): applied at \((2, -2)\), direction NW \(45^\circ\)

\(F_3\): applied at \((3, -1)\), direction east

Points of rotation: \(A = (0, 0)\), \(B = (0, -1)\), \(C = (1, -1)\)

Intermediate
Conceptual
MCQ

A block sliding down an frictionless inclined plane is experiencing both gravitational and normal forces; which force’s magnitude changes when the angle of the incline is increased?

Beginner
Mathematical
MCQ

A car increases its forward velocity uniformly from \(40 ~ \text{m/s}\) to \(80 ~ \text{m/s}\) while traveling a distance of \(200 ~ \text{m}\). What is its acceleration during this time?

Intermediate
Mathematical
GQ

A box is sliding down an incline at a constant speed of \( 2 \, \text{m/s} \). The angle of the incline is \( \theta \). The magnitude of the total of the opposing forces is \( 16 \, \text{N} \). Derive an equation for the force of gravity acting on the box.

Beginner
Mathematical
GQ

The downward motion of an elevator is controlled by a cable that unwinds from a cylinder of radius \( 0.20 \) \( \text{m} \). What is the angular velocity of the cylinder when the downward speed of the elevator is \( 1.2 \) \( \text{m/s} \)?

Beginner
Mathematical
FRQ

 

On Saturday, Ashley rode her bicycle to visit Maria. Maria’s house is directly east of Ashley’s. The graph shows how far Ashley was from her house after each minute of her trip. (Hint – Use the standard units of velocity \(\text{m/s}\) for all parts)

Intermediate
Mathematical
GQ

A \(5.0 \, \text{g}\) coin is placed \(15 \, \text{cm}\) from the center of a turntable. The coin has coefficients of static and kinetic friction of \(\mu_s = 0.80\) and \(\mu_k = 0.50\). The turntable slowly speeds up to \(60 \, \text{rpm}\). Does the coin slide off the turntable?

Beginner
Conceptual
MCQ

A runner pushes against the track to sprint forward. Which two action–reaction FORCE pairs are involved? Select two letters.

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