Work, Energy, and Power

A billiard ball of mass $m$ is moving with a velocity $v$ on a frictionless surface. What is the kinetic energy of the billiard ball?

A pendulum is released from an initial angle $\theta$ with the vertical. What is the velocity of the pendulum bob at the bottom of its swing (assuming no air resistance)?

A block of mass $m$ is at a height $h$ above the ground. What is its gravitational potential energy?

A ball of mass $m$ is dropped from a height $h$. What is the velocity of the ball just before it hits the ground (assuming no air resistance)?

A roller coaster starts at a height $h_1$ with an initial velocity $v_1$. What is the height $h_2$ at a point where its velocity is $v_2$ (assuming no friction)?

If the velocity of a cart is doubled, what happens to its kinetic energy?

A spring with a spring constant $k$ is stretched a distance $x$ from its equilibrium position. What is the elastic potential energy stored in the spring?

A mass $m$ is dropped onto a vertical spring with spring constant $k$. What is the maximum compression $x$ of the spring?

An object with initial velocity $v$ slides on a surface with a coefficient of kinetic friction $\mu$ until it stops. What is the distance $d$ it slides?

A block slides down a ramp of height $h$ with friction and compresses a spring with spring constant $k$ at the bottom. If the coefficient of friction is $\mu$, what is the compression $x$ of the spring?