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**"Tarzan" problem**

## Homework Statement

"Tarzan (m=85kg) tries to cross a river by swinging from a 10.0m long vine. His speed at the bottom of the swing, just as he clears the water, is 8.0 m/s. Tarzan doesn't know that the vine has a breaking strength of 1.0 x 10^3 N Does he make it safely across the river? Justify your answer."

## Homework Equations

[tex]F_{c}=\frac{mv_{t}^2}{r}[/tex]

## The Attempt at a Solution

I attempted to substitute in the variables as such:

[tex]F_{c}=\frac{85kg*\left(8.0\frac{m}{s}\right)^2}{10.0m}[/tex]

I got 544N, which is not the answer(1.37x10^3N is his 'weight' at this point, greater than the rope). Am I missing something obvious?