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 H₀above the bottom. In Fig. P10.79, the rough part of the terrain prevents slipping while the smooth part has no friction.

(a) How high, in terms of H₀, will the ball go up the other side?

(b) Why doesn€™t the ball return to height H₀? Has it lost any of its original potential energy?

Figure P10.79:

Transcribed Image Text:

Smooth Rough Ho -.