Does Tarzan's Vine Break During His Swing Across the River?

AI Thread Summary
Tarzan attempts to swing across a river using a 10-meter vine while weighing 85 kg and achieving a speed of 8.0 m/s at the bottom of his swing. The vine has a breaking strength of 1,000 N, which must be compared to the forces acting on it, including Tarzan's weight and the centripetal force required for his circular motion. The centripetal force can be calculated using the formula Fc = m * (Vt^2 / r), where r is the length of the vine. When accounting for both the tension from his weight and the required centripetal force, it is determined that the vine cannot support Tarzan's swing, leading to the conclusion that he does not make it safely across the river. Understanding the forces involved is crucial to solving this physics problem.
Karex
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Tarzan (m=85kg) tries to cross a river by swiming from 10.0m long vine. His speed at the bottom of the swing, just as he clears the water, is 8.0m/s. Tarzan doesn't know that the vine has a breaking strength of 1.0*10^3 N. Does he make it safely across the river?

mass= 85kg
rope= 10m
velocity= 8.0m/s
Tension= 1.0*10^3N
and it has to do with this equation somehow

Fc(force that maintains circular motion)
mass (m)
Vt^2 (tangential speed)^2
r (distance to axis)
w (angular speed)

Fc=m*((Vt^2)/r) or Fc=m*r*(w)^2

I know the answer is no but i don't know how to get there
well thanks again
 
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While you have a centripetal force, I think you are missing the force from his weight.
 
Physics girl phd is right, you have to count the weight in, and, by the way, by typing 'Tarzan' into the search box, I'm sure you'll find at least two very similar (if not same) problems.
 
This isn't advanced physics.
 
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