Answer
$\sum W=1474J$
Work Step by Step
The work done by force $F$ on an object has the following formula $$W=(F\cos\theta)s$$
The sign of $W$ depends on the angle $\theta$.
- Work done by weight $W$: since $\theta=65^o$, $\cos\theta\gt0$, so $W_W\gt0$
- Work done by friction $f$: since $\theta=180^o$, $\cos\theta\lt0$, so $W_f\lt0$
- Work done by normal force $F_N$: since $\theta=90^o$, $\cos\theta=0$, so $W_N=0$
The net work done by 3 forces over a distance of $s=9.2m$ is $$\sum W=(W\cos65+f\cos180+0)s$$
We have $W=675N$ and $f=125N$, so $$\sum W=1474J$$
