A hollow sphere having radius 0.180 m, with rotational inertia I = 0.0128 kg•m2 about a line via its center of mass, rolls devoid of slipping up a surface inclined at 32.7° to the horizontal. At a certain initial position, the sphere's net kinetic energy is 8.90 J.
(i) Determine how much of the initial kinetic energy is rotational? (ii) Determine the speed of the center of mass of the sphere at initial position? If the sphere has moved 1.50 m up the incline from the initial position, what are (iii) its net kinetic energy and (iv) the speed of center of mass?