A small block is attached to an ideal spring and is moving in SHM on a horizontal frictionless surface. The amplitude of the motion is 0.165 m. The maximum speed of the block is 3.90 m/s. What is the maximum magnitude of the acceleration of the block?

(III) A pinball machine uses a spring launcher that is compressed 6.0 cm to launch a ball up a 22° ramp. Assume that the pinball is a solid uniform sphere of radius r = 1.0 cm and mass m = 25g. If it is rolling without slipping (Section 10–9) at a speed of 3.0 m/s when it leaves the launcher, what is the spring constant of the spring launcher?