4. Momentum and Collisions

Collisions — Quiz

Test your understanding of collisions with 5 practice questions.

Practice Questions

Question 1

A particle of mass $m$ undergoes a one-dimensional elastic collision with a stationary particle of mass $M$. If $m = 3M$, what is the velocity of the stationary particle after the collision in terms of the initial velocity of the incident particle, $v_{mi}$?

Question 2

In a two-dimensional perfectly inelastic collision, two objects of masses $m_1$ and $m_2$ with initial velocities $\vec{v}_{1i}$ and $\vec{v}_{2i}$ collide and stick together. Which of the following expressions correctly represents the final velocity $\vec{v}_f$ of the combined mass?

Question 3

A $0.2 \text{ kg}$ ball moving at $10 \text{ m/s}$ undergoes a one-dimensional elastic collision with a stationary $0.8 \text{ kg}$ ball. What is the velocity of the $0.2 \text{ kg}$ ball after the collision?

Question 4

A $1 \text{ kg}$ object moving at $5 \text{ m/s}$ collides with a $2 \text{ kg}$ object moving at $2 \text{ m/s}$ in the same direction. If the collision is perfectly inelastic, what is the loss of kinetic energy during the collision?

Question 5

A $0.5 \text{ kg}$ object moving with velocity $\vec{v}_1 = (4\hat{i}) \text{ m/s}$ collides with a $1.5 \text{ kg}$ object moving with velocity $\vec{v}_2 = (-2\hat{i}) \text{ m/s}$. If the collision is perfectly inelastic, what is the final velocity of the combined mass?