Question

An earthball with a mass of 120 kg and a radius of 1.5 m rolls down a regular hill. The hill is 60 meters high and inclined at 15 degrees to the vertical. a) How fast is the ball moving at the bottom of the hill? b) At the bottom of the hill is an ice covered ramp. The ball begins to go up the frictionless ice ramp. What is the maximum height up the ramp that the ball reaches?

Answer 1

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Here earthball is a solid sphere

In the figure

Total energy is constant every where since no friction in moving path.

For a part, i have taken energy conservation at top and bottom of regular hill

For part b, i have taken energy conservation at a and c