A $15-kg$ crate slides down a $2\mathrm{.}2m$ long ramp at a $25$ angle to the horizontal floor. Assume the coefficient

of friction is $0\mathrm{.}35.$

A$)$ Determine the magnitude of the forces due to friction?

B$)$ Determine the magnitude of the x$-$component of the weight force?

C$)$ determine the work done by friction?

D$)$ determine the work done by gravity?

E$)$ Assuming the crate started from rest, use the work$-$energy theorem to find the speed of the crate after traveliing the $2\mathrm{.}2$ m$?$