Collisions — Prelims Questions

A $2\,\text{kg}$ mass moving at $10\,\text{m/s}$ collides head-on with a $3\,\text{kg}$ mass moving at $5\,\text{m/s}$ in the opposite direction. If the collision is perfectly inelastic, what is the common velocity of the combined mass after the collision?

A ball of mass $m$ moving with velocity $v$ collides elastically with another ball of mass $m$ at rest. After the collision, what are the velocities of the first and second balls, respectively?

A $0.1\,\text{kg}$ ball drops from a height of $5\,\text{m}$ and rebounds to a height of $3.2\,\text{m}$. What is the coefficient of restitution for the collision with the ground? (Take $g = 10\,\text{m/s}^2$)

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

A $10\,\text{g}$ bullet is fired horizontally into a $1\,\text{kg}$ wooden block suspended by a long string. The bullet gets embedded in the block, and the block-bullet system rises to a height of $0.05\,\text{m}$. What was the initial speed of the bullet? (Take $g = 10\,\text{m/s}^2$)

A $4\,\text{kg}$ object moving at $6\,\text{m/s}$ collides with a $2\,\text{kg}$ object moving at $3\,\text{m/s}$ in the same direction. If the collision is elastic, what is the final velocity of the $2\,\text{kg}$ object?