Unit 4: Systems of Particles and Linear Momentum

In a perfectly inelastic collision, which quantity is conserved?

A 3 kg cart moving at 4 m/s collides with and sticks to a 1 kg cart at rest. What is the final speed of the combined carts in m/s?

The momentum of a 3 kg object moving at 4 m/s is

A 2 kg ball moving at 5 m/s collides head-on with a 3 kg ball at rest. They stick together. The velocity of the combined mass after the collision is

A 0.15 kg baseball traveling at 40 m/s is hit by a bat and leaves at 50 m/s in the opposite direction. If the bat is in contact with the ball for 0.01 s, the average force on the ball is

In which type of collision is kinetic energy conserved?

Two objects of equal mass undergo an elastic head-on collision. Object A moves at 6 m/s and object B is at rest. After the collision,

A 50 kg ice skater initially at rest pushes off a 70 kg ice skater. If the 70 kg skater moves at 2 m/s, the 50 kg skater moves at

A 0.01 kg bullet traveling at 400 m/s embeds in a 2 kg wooden block on a frictionless surface. The block's velocity after impact is

A 60 kg person jumps from a 3 m/s moving cart (mass 40 kg) and lands with zero velocity. The cart's new velocity is

Two objects of masses 3 kg and 1 kg travel toward each other at 4 m/s and 6 m/s respectively. They collide and stick together. The velocity of the combined mass is

If you double the speed of an object, its kinetic energy:

A 5 kg ball falls 10 m. How much work does gravity do? (g = 10 m/s²)

A ball is thrown straight up. At the top of its trajectory:

A spring with k = 300 N/m is compressed 0.2 m. What is the potential energy stored?

A 1 kg ball is released from a height of 5 m on a frictionless ramp. What is its speed at the bottom? (g = 10 m/s²)

When friction is present on a surface, the mechanical energy of a system:

A person carries a box horizontally across a room. The work done by the gravitational force on the box is:

A system's total energy can change when:

A roller coaster car starts from rest at height h. What is the minimum height of a loop of radius r that the car can complete? (Assume no friction)

For an object sliding along a horizontal surface, the work done by the normal force is:

A spring (k = 800 N/m) compressed 0.1 m launches a 0.2 kg ball straight up. How high does the ball go? (g = 10 m/s²)

On a potential energy vs position graph, the force at a point equals:

A 1000 W motor lifts a 50 kg crate 10 m. How long does it take? (g = 10 m/s²)

A 2 kg pendulum bob is released from a height of 0.8 m above its lowest point. What is its speed at the lowest point? (g = 10 m/s²)

A 4 kg block slides 3 m down a 30° incline with μ_k = 0.2. What is its speed at the bottom if it starts from rest? (g = 10 m/s²)

What is the velocity of block B after the collision?

What is the velocity of the combined mass after the collision?

What impulse is delivered to the ball?

What is the velocity of the cannon after firing?

Is this collision elastic, inelastic, or perfectly inelastic?

What is the y-component of velocity of ball B after the collision?

Where is the center of mass of the system?

What impulse is delivered to the object?

Which object has the greatest momentum?

What was the initial speed of the bullet?

A 2.0 kg cart moving at 3.0 m/s to the right collides with a 1.0 kg cart at rest. After the collision, the 2.0 kg cart moves at 1.0 m/s to the right. What is the velocity of the 1.0 kg cart after the collision, and is the collision elastic?

A 0.15 kg baseball moving at 40 m/s is hit by a bat. It reverses direction at 50 m/s. The bat is in contact for 0.002 s. What is the average force on the ball?

A 2 kg cart moving at 6 m/s collides and sticks to a 4 kg stationary cart. What fraction of the original kinetic energy is lost?