A hollow sphere of radius 0.30 m, with rotational inertia I = 0.098 kg m2 about a line through its center of mass, rolls without slipping up a surface inclined at 27° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 70 J.
Now, the sphere moves 1.0 m up the incline from its initial position.
(a) What is its total kinetic energy now?
(b) What is the speed of its center of mass now?