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

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SUMMARY

Tarzan, with a mass of 85 kg, attempts to swing across a river using a 10.0 m long vine while reaching a speed of 8.0 m/s at the lowest point of the swing. The vine has a breaking strength of 1.0 x 10^3 N. Calculating the centripetal force required for Tarzan's swing reveals that the total force, including his weight, exceeds the vine's breaking strength, confirming that the vine will break during the swing.

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  • Understanding of centripetal force and its calculation
  • Knowledge of gravitational force and weight
  • Familiarity with basic physics equations, particularly Fc = m*(Vt^2)/r
  • Ability to analyze motion in a circular path
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  • Study the principles of centripetal force in detail
  • Learn how to calculate gravitational force and its impact on motion
  • Explore similar physics problems involving tension and breaking strength
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of motion and forces in practical scenarios.

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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