Collisions — Prelims Questions

A $2,\text{kg}$ mass moving at $10,\text{m/s}$ undergoes a perfectly inelastic collision with a stationary $3,\text{kg}$ mass. What is the common velocity of the combined mass after the collision?

A ball is dropped from a height of $H$. If the coefficient of restitution for the collision with the ground is $e$, to what height will the ball rebound?

In an elastic collision between two bodies of equal mass, if the second body is initially at rest, what happens to their velocities after the collision?

A $0.5,\text{kg}$ ball moving at $4,\text{m/s}$ hits a wall and rebounds with a speed of $3,\text{m/s}$. What is the magnitude of the impulse imparted to the ball by the wall?

Which of the following statements is TRUE regarding a perfectly inelastic collision?

A bullet of mass $m$ is fired horizontally with velocity $u$ into a wooden block of mass $M$ suspended by a string. The bullet gets embedded in the block, and the block-bullet system rises to a maximum height $h$. What is the initial velocity of the bullet, $u$?