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Beginner
Conceptual
MCQ

Which pair of quantities will always have the same magnitude if motion is in a straight line and in one direction?

Intermediate
Conceptual
MCQ

Angular momentum cannot be conserved if

Advanced
Conceptual
MCQ

A rubber ball and a piece of clay have equal masses. They are dropped from the same height on horizontal steel platform. The ball bounces back with nearly the same speed with which it hit. The clay sticks to the platform. Choose all that is true about the ball/platform and the clay/platform systems.

Advanced
Mathematical
FRQ

Priscilla the Penguin stands at the edge of a rock ledge and tosses a small ice cube directly upward with an initial velocity of \( v_0 \). The ice cube’s initial height above the ground is \( 3.25 \, \text{m} \), and it reaches its maximum height above the ground \( 0.586 \, \text{s} \) after being thrown. The ice cube then plummets to the ground, missing the edge of the rock ledge on its way down.

Beginner
Conceptual
MCQ

Which car controls directly allow the driver to cause acceleration?

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.

Beginner
Conceptual
GQ

If an elephant were chasing you, its enormous mass would be most threatening. But if you zigzagged, its mass would be to your advantage. Why?

Intermediate
Mathematical
GQ

A ball is attached to the end of a string. It is swung in a vertical circle of radius \( 0.33 \) \( \text{m} \). What is the minimum velocity that the ball must have to make it around the circle?

Intermediate
Mathematical
GQ

A seesaw is balanced on a fulcrum, with a boy of mass \( M_1 \) sitting on one end and a girl of mass \( M_2 \) sitting on the other end. The seesaw is a uniform plank of length \( L \) and mass \( M \). The fulcrum is located at the midpoint of the plank. Does \( M_1 = M_2 \)? Justify your working.

Intermediate
Mathematical
MCQ

A small boat coasts at constant speed under a bridge. A heavy sack of sand is dropped from the bridge onto the boat. The speed of the boat will

Intermediate
Mathematical
GQ

A helicopter is ascending vertically with a speed of \( 5.40 \) \( \text{m/s} \). At a height of \( 105 \) \( \text{m} \) above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground?

Intermediate
Mathematical
MCQ

An object at rest suddenly explodes into two fragments (\(m_1\) and \(m_2\)) by an explosion. Fragment \(m_1\) acquires \(3\) times the kinetic energy of the other. What is the ratio of \(m_1\) to \(m_2\)?

Intermediate
Mathematical
FRQ

A helium-filled balloon is attached by a string of negligible mass to a small \(0.015 \ \text{kg}\) object that is just heavy enough to keep the balloon from rising. The total mass of the balloon, including the helium, is \(0.0050 \ \text{kg}\). The density of air is \(\rho_{\text{air}} = 1.29 \ \text{kg/m}^3\), and the density of helium is \(\rho_{\text{He}} = 0.179 \ \text{kg/m}^3\). The buoyant force on the \(0.015 \ \text{kg}\) object is small enough to be negligible.

Beginner
Conceptual
MCQ

If something is accelerating, then it must be…

Intermediate
Mathematical
MCQ

A disk is initially rotating counterclockwise around a fixed axis with angular speed \( \omega_0 \). At time \( t = 0 \), the two forces shown in the figure above are exerted on the disk. If counterclockwise is positive, which of the following could show the angular velocity of the disk as a function of time?

Beginner
Conceptual
MCQ

When is the angular momentum of a system constant?

Advanced
Conceptual
FRQ

In the laboratory, you are given a cylindrical beaker containing a fluid and you are asked to determine the density \( \rho \) of the fluid. You are to use a spring of negligible mass and unknown spring constant \( k \) that is attached to a vertical stand.

Intermediate
Conceptual
MCQ

A merry-go-round spins freely when Diego moves quickly to the center along a radius of the merry-go-round. As he does this, it is true to say that

Intermediate
Mathematical
GQ

Two wires support an unknown mass as shown in the diagram. The tension in the left wire is measured to be \( 17.5 \) \( \text{N} \) and the tension in the right wire is \( 30.3 \) \( \text{N} \). The left wire makes an angle of \( 30^{\circ} \) with the horizontal, and the right wire makes an angle of \( 60^{\circ} \) with the horizontal. What is the mass of the object?

Advanced
Conceptual
GQ

Why is the stopping distance of a truck much shorter than for a train going the same speed? Hint: try deriving a formula or stopping distance.

Beginner
Conceptual
MCQ

An object is moving in the \( +x \) direction and begins to slow down. What must be true about its acceleration?

Advanced
Mathematical
MCQ

image of collision

From the figure above, determine which characteristic fits this collision best.

Intermediate
Conceptual
GQ

A stone hangs by a fine thread from the ceiling, and a section of the same thread dangles from the bottom of the stone. If a person gives a sharp pull on the dangling thread, where is the thread likely to break: below the stone or above it? What if the person gives a slow and steady pull?

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 \( 1.2 \) \( \text{m/s} \)?

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