Jane, whose mass is 50.0 kg, needs to swing across a river filled with crocodiles (and velociraptors) in order to rescue Tarzan, whose mass is 90.0 kg. However, she must swing into a constant horizontal wind force F on a vine that is initially at an angle of with the vertical. See Figure P5.61. In the figure, D=50.0 m, F = 150 N, L = 40.0 m, and = 50.0degrees.
a) With what minimum speed must Jane begin her swing in order to just make it to the other side? (Hint: First determine the potential energy that can be associated with the wind force. Because the wind force is constant, use an analogy with the constant gravitational force.)
b)When the rescue in the previous problem is complete, Tarzan and Jane must swing back across the river. With what minimum speed must they begin their swing?
