#### kreil

Gold Member

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This is the question I have from my book, I have tried numerous methods of solving it, but I cannot obtain the correct answers. If someone could get me started with an equation I could go from there...

Jane, whose mass is 50kg, needs to swing across a river (having width D) filled with man eating crocodiles to save Tarzan from danger. She must swing into a wind exerting a force F, on a vine having length L and initially making an angle theta with the vertical.

Taking D=50m, F=110N, L=40m and Theta=50 degrees...

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

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 Tarzan has a mass of 80kg.

Well for part a I figured that since she is JUST going to make to the other side..

[tex]E_{Jane}-W_{wind}=0[/tex]

[tex]\implies mg \Delta h+\frac{1}{2}mv^2-F_{wind}d=0[/tex]

or

[tex]mg \Delta h + \frac{1}{2}mv^2=F_{wind}d[/tex]

This expression seems like what I want, the only problem is that I can't find delta h..

Part (b) is obviously closely related to (a), so I just want to do a first.

Thanks

Josh

Jane, whose mass is 50kg, needs to swing across a river (having width D) filled with man eating crocodiles to save Tarzan from danger. She must swing into a wind exerting a force F, on a vine having length L and initially making an angle theta with the vertical.

Taking D=50m, F=110N, L=40m and Theta=50 degrees...

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

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 Tarzan has a mass of 80kg.

Well for part a I figured that since she is JUST going to make to the other side..

[tex]E_{Jane}-W_{wind}=0[/tex]

[tex]\implies mg \Delta h+\frac{1}{2}mv^2-F_{wind}d=0[/tex]

or

[tex]mg \Delta h + \frac{1}{2}mv^2=F_{wind}d[/tex]

This expression seems like what I want, the only problem is that I can't find delta h..

Part (b) is obviously closely related to (a), so I just want to do a first.

Thanks

Josh

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