A spring with a spring constant of is compressed . How much potential energy has been generated?

A mass on a string is released and swings freely. Which of the following best explains the energy of the pendulum when the string is perpendicular to the ground?

A bullet with mass hits a ballistic pendulum with length and mass and lodges in it. When the bullet hits the pendulum it swings up from the equilibrium position and reaches an angle at its maximum. Determine the bullet’s velocity.

A vertical spring with a spring constant of is stationary. An mass is attached to the end of the spring. What is the maximum displacement that the spring will stretch?

Derive a formula for the maximum speed of a simple pendulum bob in terms of , the length L and the angle of swing .

A mass is placed at the end of a spring. The spring is compressed . What is the maximum velocity of the mass if the spring has a spring constant of ?

A pendulum is dropped from rest at above the ground. If no outside forces (except gravity) are acting upon it, what will be its maximum height on the other side?