At the bottom of the swing, the vine is subject to two forces,
gravity force = mg
centripetal force = mv^sup2;/r
m=mass of Tarzan (kg)
g=acceleration due to gravity (9.81 m/s²)
v=tangential velocity (m/s)
r=radius of circular motion
=length of vine (m)
At point of rupture of the vine,
mg+mv²/r = 1045 N
Solve for v.
Tarzan (m = 78.4 kg) tries to cross a river by swinging from a vine. The vine is 10 m
long. Tarzan doesn't know that the vine has a breaking strength of 1045 N. What
maximum speed (in m/s) can Tarzan have at the bottom of the swing (as he just clears
the water) in order to safely cross the river without breaking the vine?
PLEASE LEAVE FULL ANSWERS!
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