A pinball (solid sphere of mass = 0.2 kg, outer radius = 0.1 m) is cocked back 0.8 m on a spring (k= 50 N/m), and fired onto the pinball machine surface, which is tilted.
a.) How much energy is stored in the spring initially?
b.) Find the maximum height the pinball rolls to (above its initial location.)
c.) When the pinball is 2.5 m above its initial location (on the way up), find its linear and angular speeds.