Using law of conservation of energy,
0.5 mv^2 + 0.5 Iw^2 = mgHo
0.5 mv^2 + 0.5 (2/3) mr^2 (v/r)^2 = mg Ho
0.5 mv^2 + mv^2/3 = mg Ho
(5/6) mv^2 = mg Ho
(5/6) (2 mgH) = mgHo
H = (3/5) Ho
B)
It loses some of its potential energy in kinetic energy
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Constants A basketball (which can be closely modeled as a hollow spherical shell) rolls down a...
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1.The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho. will the sphere roll up the other side? Smooth Rough Ho
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1. The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho will the sphere roll up the other side? Rough Smooth
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