Problem: A basketball (which can be closely modeled as a hollow spherical shell) rolls down a mountainside into a valley and then up the opposite side, starting from rest at a height H0 above the bottom. In the figure, the rough part of the terrain prevents slipping while the smooth part has no friction.a) How high, in terms of H0, will it go up the other side?b) Why doesn't the ball return to height H0? Has it lost any of its original potential energy?

🤓 Based on our data, we think this question is relevant for Professor Ricoux's class at UCI.

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Problem Details

A basketball (which can be closely modeled as a hollow spherical shell) rolls down a mountainside into a valley and then up the opposite side, starting from rest at a height H0 above the bottom. In the figure, the rough part of the terrain prevents slipping while the smooth part has no friction.
a) How high, in terms of H0, will it go up the other side?
b) Why doesn't the ball return to height H0? Has it lost any of its original potential energy?

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Our tutors have indicated that to solve this problem you will need to apply the Conservation of Energy in Rolling Motion concept. You can view video lessons to learn Conservation of Energy in Rolling Motion. Or if you need more Conservation of Energy in Rolling Motion practice, you can also practice Conservation of Energy in Rolling Motion practice problems.

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Based on our data, we think this problem is relevant for Professor Ricoux's class at UCI.