Solve the all parts of given problem:
Problem: A 0.52-kg object connected to a light spring with a force constant of 19.4 N/m oscillates on a frictionless horizontal surface. The spring is compressed 4.0 cm and released from rest.
Part I: Determine the maximum speed of the object.
m/s
Part II: Determine the speed of the object when the spring is compressed 1.5 cm.
m/s
Part III: Determine the speed of the object as it passes the point 1.5 cm from the equilibrium position.
m/s
Part IV: For what value of x does the speed equal one-half the maximum speed?
Show all work, use additional paper if necessary.