In order for Jane to return to base camp, she needs to swing across a river of width D that is filled with alligators. She must swing into a wind exerting constant horizontal force F, on a vine having length L and initially making an angle ? with the vertical (see below figure). Take D= 48.0 m, F=106 N, L= 40.0 m, ?=48.0, and her mass to be 50.0 kg.

(a) with what minimum speed (in m/s) must Jane begin her swing to just make it to the other side?

________m/s

(b) Shortly after Jane's arrival, Tarzan and Jane decide to swing back across the river (simultaneously). With what minimum speed (in m/s) must they begin their swing? Assume that Tarzan has a mass of 80.0 kg.

_________m/s