# Batman!

Batman, whose mass is $$80.0 \textbf{ kg}$$ is dangling on the free end of a $$12 \textbf{ m}$$ rope, the other end of which is fixed to a tree limb above. By repeatedly bending at the waist, he is able to get the rope in motion, eventually making it swing enough that he can reach a ledge when the rope makes a $$60^\circ$$ angle with the vertical. How much work was done by the gravitational force on Batman in this maneuver in $$\textbf{Joules}$$?

$$9 = 9.8 m s^{-2}$$

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