A solid sphere of mass 2.07kg rolls up an incline with an inclination angle of 24.40°. At the bottom of the incline, the center of mass of the sphere has a translational speed of 2.80m/s.

a) What is in J, the linear kinetic energy of the sphere at the bottom of the incline?

b) What is in J, the total kinetic energy of the sphere at the bottom of the incline?

c) How far up the incline will the sphere roll? Answer in units of m.