Modern bowling alleys have automatic ball returns. The ball is lifted to a height of 2.50 at the end of the alley and, starting from rest, rolls down a ramp. It continues to roll horizontally and eventually rolls up a ramp at the other end that is 0.700 off the ground.

Question

Modern bowling alleys have automatic ball returns. The ball is lifted to a height of 2.50 at the end of the alley and, starting from rest, rolls down a ramp. It continues to roll horizontally and eventually rolls up a ramp at the other end that is 0.700 off the ground.
 Assuming the mass of the bowling ball is 8.00 and its radius is 19.0 , determine the rotation rate of the ball during the middle horizontal travel. 
Determine its linear speed during the middle horizontal travel.Determine the final rotation rate. Determine the final linear speed.

drwls · Answer

Dimensions must be provided with your numbers. Assume the potential energy loss in dropping 2.50 m (?) equals the kinetic energy gain (rotational plus translational)

The 0.7 m rise at the other end slows the ball down, but is not needed to answer the question