Question 1

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.

  1. The energy is 25% spring potential energy and 75% kinetic energy (11/33) (33%)
  2. The energy is 50% spring potential energy and 50% kinetic energy (16/33) (49%)
  3. The energy is 75% spring potential energy and 25% kinetic energy (5/33) (15%)
  4. One of the above, but it depends whether the object is moving toward or away from the equilibrium position (1/33) (3%)
  5. None of the above (0/33) (0%)

















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.