A bowling ball with a diameter of 21.6 cm is rolling down a level alley surface at 12.7 m/s without slipping. Assume the ball is uniform and made of plastic with a density of 800 kg/m^3.
a) What is the angular speed of the ball?
b) Calculate the speed, relative to the alley surface, of a point on top of the ball directly above the contact point on the floor.
c) What is the ball's linear kinetic energy?
d) If it now starts to roll up a 30 degree incline, how far up the incline will it travel before it stops?