$5\mathrm{.}00-$kg block is set into motion up an inclined plane with an initial speed of $=$

$8\mathrm{.}00$ m$/$s$.$ The block comes to rest after traveling $=3\mathrm{.}00$ m along the plane, which is

inclined at an angle of $=30\mathrm{.}0$ to the horizontal. For this motion, determine $($a$)$ the

change in the block$$s kinetic energy, $($b$)$ the change in the potential energy of the block$-$

Earth system, and $($c$)$ the friction force exerted on the block $($assumed to be constant$).$

$($d$)$ What is the coefficient of kinetic friction?