The spring potential energy is given by U = 1/2 kx^2.
A) Use calculus to get the equation for a spring's force.
B) The potential energy due to gravity is mgy. A 0.400 kg mass is placed on a spring with a spring constant of 520 N/m. The spring is squeezed downward 0.650 m from equilibrium and let go. What is the kinetic energy when the spring reaches equilibrium?
C) What is the speed of the mass when it rises to the spring's equilibrium point?