*55.  Starting from rest, a basketball rolls from the top of a hill to the bottom, reaching a translational speed of 6.6 m/s. Ignore frictional losses. (a) What is the height of the hill? (b) Released from rest at the same height, a can of frozen juice rolls to the bottom of the same hill. What is the translational speed of the frozen juice can when it reaches the bottom?

 

Consider a basketball to be a thin walled sphere,

 

Conservation of energy gives us

 

 

Since the ball is rolling, we know the following must be true

 

 

 

Solve for h

 

For Frozen can of Juice use moment of inertia for a solid disk,

 

Use the hill height of 3.70 m and again do conservation of energy

 

 

 

 

Solve for v

 

 

 

 

 

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This page last updated on January 11, 2020