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Advanced
Mathematical
GQ

A horizontal uniform meter stick of mass 0.2 kg is supported at its midpoint by a pivot point. A mass of 0.1 kg is attached to the left end of the meter stick, and another mass of 0.15 kg is attached to the right end of the meter stick. The meter stick is free to rotate in the horizontal plane around the pivot point. What is the tension in the string supporting the left end of the meter stick?

Intermediate
Proportional Analysis
MCQ

If you want to double the momentum of a gas molecule, by what factor must you increase its kinetic energy?

Advanced
Mathematical
FRQ

A pulley system consists of two blocks of mass \( 5 \) \( \text{kg} \) and \( 10 \) \( \text{kg} \), connected by a rope of negligible mass that passes over a pulley of radius \( 0.1 \) \( \text{m} \) and mass \( 2 \) \( \text{kg} \). The pulley is free to rotate about its axis. The system is released from rest, and the block of mass \( 10 \) \( \text{kg} \) starts to move downwards. Assume the pulley has a frictional force of \(5.7\) Newtons acting on the outer edge of the pulley.

Advanced
Mathematical
MCQ

An object is experiencing a nonzero net force. Which of the following statements is most accurate?

Advanced
Conceptual
MCQ

A person is standing on a railroad station platform when a high-speed train passes by. The person will tend to be

Intermediate
Mathematical
GQ

Determine the sum of the three vectors given below. Calculate the resultant \( \vec{R} \) expressed as:

(a) Vector components
(b) Resultant vector (its total magnitude and direction)

\[\vec{A} = 26.5 \, \text{m} \ @ \ 56^\circ \, \text{NW}\]

\[\vec{B} = 44 \, \text{m} \ @ \ 28^\circ \, \text{NE}\]

\[\vec{C} = 31 \, \text{m} \, \text{South}\]

Intermediate
Mathematical
MCQ

Alcohol has a specific gravity of \( 0.79 \). If a barometer consisting of an open-ended tube placed in a dish of alcohol is used at sea level, to what height in the tube will the alcohol rise?

Advanced
Mathematical
FRQ

Two masses, \( m_y = 32 \) \( \text{kg} \) and \( m_z = 38 \) \( \text{kg} \), are connected by a rope that hangs over a pulley. The pulley is a uniform cylinder of radius \( R = 0.311 \) \( \text{m} \) and mass \( 3.1 \) \( \text{kg} \). Initially, \( m_y \) is on the ground and \( m_z \) rests \( 2.5 \) \( \text{m} \) above the ground.

Intermediate
Mathematical
MCQ

A block of mass \( m \) is attached to a horizontal spring with spring constant \( k \) and undergoes simple harmonic motion with amplitude \( A \) along the \( x \)-axis. Which of the following equations could represent the position \( x \) of the object as a function of time?

Beginner
Conceptual
MCQ

Which of these scenarios involve accelerated motion? (Select all that apply)

Beginner
Mathematical
GQ

Marc’s favorite ride at Busch Gardens is the Flying Umbrella, which is lifted by a hydraulic jack. The operator activates the ride by applying a force of \( 72 \) \( \text{N} \) to a \( 30 \)\( \text{cm}^2 \) cylindrical piston, which holds the \( 20,000 \)\( \text{N} \) ride off the ground. What is the area of the piston that holds the ride?

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