Question

Jane, whose mass is 49.0 kg, needs to swing across a river filled with man-eating crocodiles in order to rescue Tarzan from danger. However, she must swing into a constant horizontal wind force, F, on a vine that is initially at an angle of θ with the vertical (see Fig. P5.73). D = 50.0 m, F = 116 N, L = 40 m, and θ = 50.0°.

Figure P5.73

(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.)

m/s

(b) Once the rescue is complete, Tarzan and Jane must swing back across the river. With what minimum speed must they begin their swing? Assume that Tarzan has a mass of 80.0 kg.

m/s

Answer 1

It is given that :

m = 49 kg, D = 50 m, F = 116 N, L = 40 m,   = 50^o and M = 80 kg