Starting from rest, a $5\mathrm{.}70-$kg block slides $2\mathrm{.}40$ m down a rough $30\mathrm{.}0$ incline. The coefficient of kinetic friction between the block and the incline is

$$k $=0\mathrm{.}436.$

$($a$)$ Determine the work done by the force of gravity.

J

$($b$)$ Determine the work done by the friction force between block and incline.

J

$($c$)$ Determine the work done by the normal force.

J

$($d$)$ Qualitatively, how would the answers change if a shorter ramp at a steeper angle were used to span the same vertical height?