Solve the all parts of following question:
Question: The plunger of a pinball machine has mass 0.440 kg and is attached to a spring of force constant 132.0 N/m. The spring is compressed a distance 8.0 cm from its equilibrium position x = 0 and released. A ball of mass 0.308 kg is in contact with the plunger when it is released.
Part A: What is x when the ball loses contact with the plunger? (Assume that the surface is horizontal and frictionless so that the ball slides, but does not roll.)
Part B: What is the speed vs of the ball when it leaves the plunger?
Part C: At what distance xf from equilibrium will the plunger come to rest momentarily?
Rework your solution from the beginning and check each step carefully.