Tarzan swings across a river (centripical force)

[ErrorProxy]

Homework Statement

Tarzan tries to cross a river by swinging from one bank to another on a vine that is 10.0 m long. His speed at the bottom of the swing , just as he clears the surface of the river, is 8.0 m/s. Tarzan does not know that the vine has a breaking strength of 1.0x10^3 N. What is the largest mass that Tarzan can have and still make it safely across the river? HINT: Don't forget about the effect of Tarzan's weight

m = 10 m

v = 8.0 m/s

F = 1.0 x 10^3 N

Homework Equations

Centripical Force:

Fc = (mv^2)/r

The Attempt at a Solution

I plug everything in but.. the hint gets me confused. I don't know how to include Tarzan's weight ( mass x gravity )

 

[Mindscrape]

So there are three forces: one that is keeping him going in a circle (centripetal force), another that always pulling him down (gravity), one that keeps the vine from traveling down with Tarzan (tension).

 

[philnipyo]

http://www.davis.k12.ut.us/staff/ryahne/files/CD4CE3A0784E44B7B861B5697821B99A.pdf
look at 38 :3