4. Momentum

Collisions — Quiz

Test your understanding of collisions with 5 practice questions.

Practice Questions

Question 1

In a one-dimensional elastic collision between two particles of masses $m_1$ and $m_2$, with initial velocities $u_1$ and $u_2$ respectively, which of the following formulas correctly gives the final velocity $v_1$ of mass $m_1$ after the collision?

Question 2

Two identical balls, one moving at $5\ \mathrm{m/s}$ and the other at rest, collide elastically in one dimension. What is the velocity of the initially moving ball after the collision?

Question 3

A $2\,\mathrm{kg}$ ball moving to the right at $4\,\mathrm{m/s}$ collides head-on elastically with a $3\,\mathrm{kg}$ ball moving to the left at $2\,\mathrm{m/s}$. What is the velocity of the $2\,\mathrm{kg}$ ball after the collision?

Question 4

In a perfectly inelastic collision in one dimension, which of the following statements is true?

Question 5

Two objects collide in two dimensions and stick together (perfectly inelastic). Object 1 has a mass of $2\,\mathrm{kg}$ and initial velocity $4\hat{i} + 3\hat{j}\ \mathrm{m/s}$. Object 2 has a mass of $3\,\mathrm{kg}$ and initial velocity $-\hat{i} + 2\hat{j}\ \mathrm{m/s}$. What is the velocity vector of the combined object after the collision?