$(11\%)$ Problem $6$: The diagram shows a crate with mass $m=20\mathrm{.}7kg$ being pushed up an incline that

makes an angle $=29\mathrm{.}8$ degrees with horizontal. The pushing force is horizontal, with magnitude $P=588$

N$.$ Starting from rest, the crate achieves a speed of $5\mathrm{.}31\frac{m}{s}$ as it moves a distance $d=7\mathrm{.}89m.$

What is the work done by friction, in joules?

$W=$