Answer
$m=4.36kg$
Work Step by Step
To find the work done by a constant force, use the formula $$W=Fdcos\theta$$ If the force of weight is $mg$ and $d$ is equal to $h$, the formula becomes $$W=mghcos\theta$$ Solving for $m$ yields $$m=\frac{W}{ghcos\theta}$$ Substituting known values of $W=201J$, $h=4.70m$, $g=9.80m/s^2$, and $\theta=0^{\circ}$ yields a mass of $$m=\frac{201J}{(9.80m/s^2)(4.70m)cos(0^{\circ})}=4.36kg$$
