A solid sphere of weight $42\mathrm{.}0$ N rolls up an incline at an angle of $30\mathrm{.}0.$ At the bottom of the incline the center of mass of the sphere has

a translational speed of $3\mathrm{.}30$ m$/$s$.($a$)$ What is the kinetic energy of the sphere at the bottom of the incline? $($b$)$ How far does the sphere

travel up along the incline? $($c$)$ Does the answer to $($b$)$ depend on the sphere's mass?