Energy Problem 2

by Port
Tags: energy
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,338 In order to be able to do this, you need to assume some initial speed- probably you are to assume that Tarzan and Jane just grab the vine and drop so the initial speed is 0. You know the initial height compared to the height at the bottom of the arc- it's r- r cos(θ)= r(1- cos(30))= $r\frac{2-\sqrt{3}}{2}$- so you can calculate the change in potential energy= kinetic energy and so the velocity at the bottom of the arc. Tarzan now has that velocity so you can calculate his kinetic energy and convert that to potential energy to find the maximum height. HOWEVER, I believe that the two persons could be treated separately anyway- I can see no reason why Tarzan would not rise up to the same height as initially.