A solid sphere of radius 0.100m and mass 14.3kg rolls without slipping up a surface inclined at 30 degrees to the horizontal. At a certain initial position the sphere's total kinetic energy is 90.1J. (a) How much of this initial kinetic energy is rational? (b) What is the speed of the center of mass of the sphere at the initial position? After the sphere has moved 1.00m up along the incline from its initial position: (c) What is its total kinetic energy? (d) What is the speed of its center of mass?