A hollow sphere of radius 0.230 m, with rotational inertiaI = 0.0739 kg·m2 about a line through itscenter of mass, rolls without slipping up a surface inclined at22.5° to the horizontal. At a certain initial position, thesphere's total kinetic energy is 18.0 J. (a) Howmuch of this initial kinetic energy is rotational?(b) What is the speed of the center of mass of thesphere at the initial position? When the sphere has moved 0.840 mup the incline from its initial position, what are(c) its total kinetic energy and(d) the speed of its center of mass?
