posted by Brooke .
Jane, looking for Tarzan, is running at top speed (6.2 m/s) and grabs a vine hanging vertically from a tall tree in the jungle. How high can she swing upward?
You just need to calculate Jane's kinectic energy before she grabs the vine (.5mv^2). This will be equal to her gravitational potential energy (mg*height) at the top of her swing.
-cancel the mass on both sides
@Peter What about the non-conservative work lost with the tension force?