3. Work and Energy
Kinetic Energy — Quiz
Test your understanding of kinetic energy with 5 practice questions.
Practice Questions
Question 1
A uniform solid cylinder of mass $M$ and radius $R$ rolls without slipping down an inclined plane. What is the ratio of its translational kinetic energy to its rotational kinetic energy ($K_{trans} / K_{rot}$)?
Question 2
A system consists of a block of mass $m$ sliding on a frictionless horizontal surface with speed $v$, and a pulley of moment of inertia $I$ and radius $R$ rotating with angular speed $\omega$. The string connecting the block to the pulley does not slip. What is the total kinetic energy of the system?
Question 3
A point mass $m$ is attached to a string of length $L$ and swings as a simple pendulum. If it is released from rest at an angle $\theta$ from the vertical, what is its kinetic energy when it passes through the lowest point of its swing?
Question 4
A car accelerates from rest to a speed $v$. The work done by the engine on the car is $W$. If the car then accelerates from speed $v$ to $2v$, what is the additional work done by the engine?
Question 5
A uniform solid sphere of mass $M$ and radius $R$ rolls without slipping on a horizontal surface with a translational speed $v$. What is its total kinetic energy?