Linear Momentum

Two carts of equal mass, one moving at $2 \text{ m/s}$ and the other at rest, collide on a frictionless track. If they stick together after the collision, what is their final velocity?

Which of the following factors affect the center-of-mass velocity of a system?

A $2 \text{ kg}$ object is moving at $3 \text{ m/s}$ to the right, and a $3 \text{ kg}$ object is moving at $2 \text{ m/s}$ to the left. What is the center-of-mass velocity of this two-object system?

What is the definition of the total system momentum?

A $5 \text{ kg}$ object moves to the right at $2 \text{ m/s}$, a $2 \text{ kg}$ object moves to the left at $3 \text{ m/s}$, and a $3 \text{ kg}$ object is at rest. What is the total momentum of the system?

According to Newton's Third Law, how does the change in momentum of two interacting objects within a closed system relate to each other?

A $2 \text{ kg}$ ball initially at rest is struck with a bat. The bat exerts an average force of $50 \text{ N}$ on the ball for $0.1 \text{ s}$. What is the change in momentum of the ball?

A system consisting of a rocket is in space. During the burn, exhaust gases are ejected from the rocket. Determine the impulse exerted on the rocket by the gases, given that the rocket's momentum changes by $1000 \text{ kg m/s}$.

In which of the following scenarios is momentum conserved?

A person is standing on a skateboard and throws a heavy ball forward. To analyze this situation to determine if momentum is conserved, which system should be chosen?