Answer
The work done when a hoist lifts a $200-kg $ rock to a height of $3 m$ is given by :
$$
W=F d=(m g) d =5880 \mathrm{J}
$$
where, $g$ is the gravity.
Work Step by Step
The work done when a hoist lifts a $200-kg $ rock to a height of $3 m$ is given by :
$$
\begin{aligned}
W&=F d=(m g) d\\
&=\left[(200 \mathrm{kg})\left(9.8 \mathrm{m} / \mathrm{s}^{2}\right)\right](3 \mathrm{m}) \\
&=(1960 \mathrm{N})(3 \mathrm{m}) \\
&=5880 \mathrm{J}
\end{aligned}
$$
where, $g$ is the gravity.
