A hollow sphere of radius 0.35 m, with rotational inertia I = 0.022 kg m2 about a line through its center ofmass, rolls without slipping up a surface inclinedat 32° to the horizontal. Ata certain initial position, the sphere's total kinetic energyis 65 J.
a) How much of this initial kinetic energy is rotational?
b) What is the speed of the center of mass of the sphere at theinitial position?
Now, the sphere moves 1.0 m up the incline from its initialposition.
c) What is its total kinetic energy now?
d) What is the speed of its center of mass now?