1. Classical Mechanics

Momentum And Collisions — Quiz

Test your understanding of momentum and collisions with 5 practice questions.

Practice Questions

Question 1

A uniform rod of mass $M$ and length $L$ is pivoted at one end and allowed to swing freely. If it is released from rest in a horizontal position, what is its angular momentum about the pivot when it reaches the vertical position?

Question 2

A particle of mass $m$ is moving with velocity $\vec{v}$ and collides elastically with a stationary particle of mass $M$. If $m = M$, what is the angle between the velocities of the two particles after the collision?

Question 3

Two identical billiard balls undergo a glancing elastic collision. Ball 1 is initially moving with velocity $\vec{v}_1$ and strikes stationary Ball 2. After the collision, Ball 1 moves at an angle $\theta_1$ with respect to its initial direction, and Ball 2 moves at an angle $\theta_2$ with respect to Ball 1's initial direction. Which of the following statements is true?

Question 4

A system consists of two particles with masses $m_1$ and $m_2$. If an internal force acts between them, which of the following statements is true about the total linear momentum of the system?

Question 5

A rigid body with a moment of inertia $I$ is rotating with an angular velocity $\omega$ about a fixed axis. If an external torque $\tau$ acts on the body, which of the following equations correctly describes the relationship between the torque and the angular momentum $\vec{L}$ of the body?