(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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 degree angle with the vertical. How much work was done by the gravitational force on spiderman in this manuever?

2. Relevant equations

Work energy Theorem = (Force)(Displacement)

3. The attempt at a solution

So I drew a diagram. I showed that this 80.0 kg spiderman began hanging at 90.0° straight down and then he moved to a 60.0° angle. I showed that the rope was 12 m long.

I then set up the formula. A = 90.0° B = 60.0°

∫ (mg)cos(90.0°-60.0°) =

= (80kg)(9.8m/s)(cos 30.0°)

=392 joules

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# Work Energy Theorem problem: Dealing with Gravitational Force on a hanging man

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