A hollow sphere of radius 0.200 meter, with rotational inertia I = 0.0840 kg•m2 about a line through its center of mass, rolls without slipping up a surface inclined at 43.7 degree to the horizontal. At a certain initial position, the sphere's total kinetic energy is 43.0 Joule.
(a) Find how much of this initial kinetic energy is rotational?
(b) Obtain the speed of the center of mass of the sphere at the initial position?
When the sphere has moved 1.30 meter up the incline from its initial position, determine
(c) its total kinetic energy and
(d) the speed of its center of mass?