Q
QuestionPhysics

"Spiderman, whose mass is 80.0 kg, is dangling on the free end of a 12.0 -m-long 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 getting it to swing enough that he can reach a ledge when the rope makes a 60.0° angle with the vertical. How much work was done by the gravitational force on Spiderman in this maneuver? (Note: Ensure to include the required calculations to solve the problem.)"
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Answer

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Step 1
: First, we need to find the height from which Spiderman is able to reach the ledge.

h=12.0 m×sin(60.0)h = 12.0~\text{m} \times \sin(60.0^\circ)
We can use trigonometry to find this height. Let h be the height.

Step 2
: Calculate the value of h.

h10.4 mh \approx 10.4~\text{m}

Final Answer

The gravitational force did approximately 9417.6 J of work on Spiderman in this maneuver.

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