For conservative forces this equation, $=$ holds, where $$int$$

represents the internal force between the members of the system and U is the

potential energy associated with the internal force. Now Spiderman with a mass of

$80\mathrm{.}0$ kg$,$ is dangling on the free end of a $12\mathrm{.}0-$m$-$long rope and the other end of which is

fixed to a tree limb above. Somehow, he managed to reach a ledge when the rope

made a $60\mathrm{.}0$ angle with the vertical. By calculating work done by the gravitational force

on the Spiderman and gravitational potential energy change, prove if the gravitational

force is conservative.