Given Data
Mass of tarzan: m=80kg
Length of vine:L=4.8m
Maximum force exerted by tarzan on the vine: F=1400N
The expression of the net force along the direction of vein is
F-mg-mv²/L=0
mv²/L=F-mg
v²=L(F-mg)/m
v=√L(F-mg)/m
Substitute the given values in the above expression.
v=√4.8 kg (1400N-80kg×9.8m/80kg
v≈6.08m/s
Thus, the maximum tolerable speed at the lowest point is 6.08m/s
What is centrifugal acceleration?
Where RV is the vertical curve's radius in meters and v is the speed in meters per second, we can calculate the centrifugal acceleration.
I understand that the question you are looking for
If his arms are capable of exerting a force of 1400Non the rope, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 80 kg and the vine is 4.8m long.
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