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A hollow sphere of radius 0.35 m, with rotational inertia I = 0.032 kg m2 about a line through its center of mass, rolls without slipping up a surface inclined at 33° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 60 J.
(a) How much of this initial kinetic energy is rotational?
J
(b) What is the speed of the center of mass of the sphere at the initial position? m/s Now, the sphere moves 1.0 m up the incline from its initial position.
(c) What is its total kinetic energy now?
(d) What is the speed of its center of mass now?
m/s
A golf ball (m=.05 kg) and a cannonball (M=100 kg) collide head on. Before the collision, the two balls had equal speeds of 30 m/s and opposite directions. After the collision, the speed of the golf ball is approximately
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