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A empty sphere of radius 0.35 meter, with rotational inertia I = 0.052 kg m2 about a line through its center of mass, rolls without slipping up a surface inclined at 35 degree to the horizontal. At a certain initial position, the sphere total kinetic energy is 85 Joule.
(a) Find how much of this initial kinetic energy is rotational?
J
(b) Find the speed of the center of mass of the sphere at the initial position?
m/s
Now, the sphere moves 1.0 meter up the incline from its initial position.
(c) Determine what is its total kinetic energy now?
(d) Determine what is the speed of its center of mass now?
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