A hollow sphere of radius 0.170 meter, with rotational inertia I = 0.0150 kg•m2 about a line through its center of mass, rolls without slipping up a surface inclined at 38.0 degree to the horizontal. At a certain initial position, the sphere's total kinetic energy is 6.90 Joule.
(a) Obtain how much of this initial kinetic energy is rotational?
(b) Find the speed of the center of mass of the sphere at the initial position? When the sphere has moved 0.710 meter up the incline from its initial position, find
(c) its total kinetic energy and
(d) the speed of its center of mass?