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Advanced
Proportional Analysis
GQ

Two identical satellites are placed in orbit of two different planets. Satellite \(A\) orbits Mars, and Satellite \(B\) orbits Jupiter. The orbital speeds of each satellite are the same. Which satellite has a greater orbital radius?

Beginner
Conceptual
GQ

Why do you tend to slide across the car seat when the car makes a sharp turn?

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?

Intermediate
Mathematical
GQ

When a falling meteoroid is at a distance above the Earth’s surface of \( 3.00 \) times the Earth’s radius, what is its acceleration due to the Earth’s gravitation?

Beginner
Mathematical
FRQ

A high-speed drill rotating counterclockwise at \( 2400 \) \( \text{rpm} \) comes to a halt in \( 2.5 \) \( \text{s} \).

Intermediate
Conceptual
MCQ

A point \( P \) is subjected to three simultaneous forces of magnitudes \( F_A > F_B > F_C \). Point \( P \) is in equilibrium. Which of the following statements is not always true about the magnitudes of the forces?

  1. \[ F_A = F_B + F_C \]
  2. \( F_A \leq F_B + F_C \)
  3. \( F_A > F_B – F_C \)
Intermediate
Mathematical
GQ

You are piloting a small plane, and you want to reach an airport \(450 \, \text{km}\) due south in \(3.0 \,\text{hours}\). A wind is blowing from the west at \(50.0 \,\text{km/h}\). What heading and airspeed should you choose to reach your destination in time?

Advanced
Conceptual
FRQ

A person sitting in an enclosed train car, moving at constant velocity, throws a ball straight up into the air in her reference frame.

Intermediate
Mathematical
FRQ

Vector \( V_1 \) is \( 6.0 \) units long and points along the negative \( y \) axis. Vector \( V_2 \) is \( 4.5 \) units long and points at \( +45^\circ \) to the positive \( x \) axis.

Advanced
Mathematical
FRQ

A student is running at her top speed of \( 5.0 \, \text{m/s} \) to catch a bus, which is stopped at the bus stop. When the student is still \( 40.0 \, \text{m} \) from the bus, it starts to pull away, moving with a constant acceleration of \( 0.170 \, \text{m/s}^2 \).

Advanced
Mathematical
FRQ

The angular velocity of an electric motor is \(\omega = \left(20 – \frac{1}{2} t^2 \right) \, \text{rad/s}\), where \(t\) is in seconds.

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