A solid sphere with a weight of $0\mathrm{.}75$ N rolls without slipping up a flat surface inclined at $30$ degrees with respect to the horizontal. At the bottom of the incline the sphere's center of mass has a translational speed of $4\mathrm{.}90\frac{m}{s}.($a$)$ What is the kinetic energy of the sphere at the bottom of the incline? $($b$)$ How far up along the incline $($distance $d)$ does the sphere roll before coming to rest?