How Can Vernie and George Swing Across the River Despite the Wind?

[alevis]

Homework Statement

Vernie (mass of 50.0kg) needs to swing across a river to rescue George (mass of 80kg). She must swing into a constant horizontal wind force F ona vine that is initially at an angle of O with the vertical. The width of the river between them is 50.0m. The force of the wind blowing towards Vernie is 110N, and the length of the rope os 40.0m an dthe angle is 50 degrees.
(a.)With what minimum speed must Venie begin her swing in order to just make to the other side.
(b.) Once the rescue is complete, George and Vernie must swing back across the river, with what minimum speed must they begin their swing?


2. L-(Lcos50 deg)
KE(Kinetic Energy)=1/2mv²
PE(Potential Energy)=mgh

The Attempt at a Solution

KE=PE
1/2mv²=mgh

V= sqrt 2gh

 

[Doc Al]

A diagram would be helpful. (Where is the vine with respect to the river?)

In setting up your energy balance equation, don't forget to include the work that must be done against the wind force.