Example: A Block is Pushed on a Rough Surface A $5\mathrm{.}00-$kg block is set into motion up an inclined plane with an initial speed of vi $=8\mathrm{.}00$ m$/$s$.$ The block comes to rest after traveling d $=3\mathrm{.}00$ m along the plane, which is inclined at an angle of $=30\mathrm{.}0$ degree to the horizontal. For this motion, determine $($a$)$ the change in the block$$s kinetic energy, $($b$)$ the friction force exerted on the block $($assumed to be constant$).($c$)$ What is the coefficient of kinetic friction?