A sled is loaded with bricks and has a total mass of $18\mathrm{.}0$ kg$.$ It is pulled at constant speed by a rope

inclined at $20\mathrm{.}0$ above the horizontal. The sled moves a distance of $20\mathrm{.}0$ m on a horizontal surface.

The coe$$icient of kinetic friction between the sled and surface is $0\mathrm{.}500.$

$($a$)$ What is the tension in the rope?

$($b$)$ How much work is done by the rope on the sled?

$($c$)$ What is the mechanical energy dissipated as heat by the friction?