Problem: The total mechanical energy in a system consisting of a block of mass 0.55 kg is attached to a spring is 7.00 J. The motion is frictionless and horizontal. The force constant of the spring is 120.0 N/m.
a. What is the maximum amplitude of vibration of the spring (e.g., maximum compression or extension from equilibrium)?
b. What would be the maximum speed of the block?
c. What is the speed of the mass when it is 10.0 cm from equilibrium?
d. What would be the period of this simple harmonic motion?