An object attached to a spring is pulled a distance A from the equilibrium position and released from rest. It then experiences simple harmonic motion. When the object is A/2 from the equilibrium position how is the energy divided between spring potential energy and the kinetic energy of the object? Assume mechanical energy is conserved.
The total energy is ½ kA2. At x = A/2 the spring potential energy is ½ kx2. kA2/8, which is 25% of the total energy.