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Intermediate
Mathematical
GQ

A rock is dropped from a sea cliff, and the sound of it striking the ocean is heard \( 3.4 \) \( \text{s} \) later. If the speed of sound is \( 340 \) \( \text{m/s} \), how high is the cliff?

Beginner
Conceptual
GQ

Suppose just two external forces act on a stationary, rigid object and the two forces are equal in magnitude and opposite in direction. Under what condition does the object start to rotate?

Intermediate
Conceptual
MCQ

Two identical metal balls are being held side by side at the top of a ramp. Alex lets one ball, \( A \), start rolling down the hill. A few seconds later, Alex’s partner, Bob, starts the second ball, \( B \), down the hill by giving it a push. Ball \( B \) rolls down an identical, parallel path to the first ball and passes it. At the instant ball \( B \) passes ball \( A \) (select all that apply):

Advanced
Mathematical
FRQ

The drawing above shows a spherical reservoir that contains \( 455,000 \) \( \text{kg} \) of water when full. The reservoir is vented to the atmosphere at the top. Assuming the reservoir is full and the diameter of the reservoir is much larger than any of the pipes on the ground.

Beginner
Conceptual
MCQ

Block \( 1 \) of mass \( m_1 \) and Block \( 2 \) of mass \( m_2 = 2 m_1 \) are each attached to identical horizontal springs. Each block is displaced from equilibrium by an unknown amount and the blocks are released from rest simultaneously, undergoing simple harmonic motion. A student claims that Block \( 1 \) will make its first return to its equilibrium position before Block \( 2 \) first returns to its equilibrium position. Is this claim correct? Why or why not?

Intermediate
Mathematical
MCQ

A rock is thrown at an angle of \( 42^\circ \) above the horizontal at a speed of \( 14 \, \text{m/s} \). Determine how long it takes the rock to hit the ground.

Advanced
Proportional Analysis
MCQ

A baseball is thrown vertically into the air with a velocity \( v \), and reaches a maximum height \( h \). At what height was the baseball moving with one-half its original velocity? Assume air resistance is negligible.

Advanced
Conceptual
MCQ

Three identical rocks are launched with identical speeds from the top of a platform of height \( h_0 \).

  • Rock 1 is launched at a \( 45^\circ \) angle above the horizontal
  • Rock 2 is launched at a \( 45^\circ \) angle below the horizontal
  • Rock 3 is launched horizontally

Which of the following correctly relates the magnitude \( v_y \) of the vertical component of the velocity of each rock immediately before it hits the ground?

Beginner
Mathematical
MCQ

A box is sliding down an incline at a constant speed of \( 2 \) \( \text{m s}^{-1} \). The angle of the incline is \( \theta \). The magnitude of the total of the opposing forces is \( 16 \) \( \text{N} \). What is the force of gravity acting on the box?

Intermediate
Conceptual
MCQ

In a demonstration, a teacher holds the axle of a wheel that is spinning with constant angular speed. The teacher then releases the axle and the wheel begins to fall toward the ground. As the wheel falls, its angular speed remains constant. Which of the following correctly describes how the rotational kinetic energy \( K_{\text{rot}} \) of the wheel and the total kinetic energy \( K_{\text{tot}} \) of the wheel change, if at all, after the wheel is released but before it reaches the ground?

\( K_{\text{rot}} \) \( K_{\text{tot}} \)
A Constant Constant
B Constant Increasing
C Increasing Constant
D Increasing Increasing
Intermediate
Mathematical
MCQ

A person with a weight of \( 600 \) \( \text{N} \) stands on a scale in an elevator. What is the acceleration of the elevator when the scale reads \( 900 \) \( \text{N} \)?

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