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Please show me all the steps A basketball (which can be closely | modeledas a ho

ID: 2255466 • Letter: P

Question

Please show me all the steps

A basketball (which can be closely | modeledas a hollow spherical shell of mass 566 grams and diameter of 25.4 cm) rolls down a mountainside into a valley and then up the opposite side, starting from rest at a height 50.0 m above the bottom. In the figure shown below, the rough part of the terrain prevents slipping while the smooth part has no friction. How high will the ball go on the other side? Why doesn't the ball return to the same height? Has it lost any of its original potential energy?

Explanation / Answer

When the ball starts from rest at the top of the rough slope, it has gravitational potential energy of mgH? and zero kinetic energy. When it reaches the bottom, all of its GPE has been converted to kinetic energy (both translational and rotational, mv

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