Tarzan (m = 85.0 kg) tries to cross a river by swinging from a vine. The vine is 10.5 m long, and his speed at the bottom of the swing (as he just clears the water) is 9.00 m/s. Tarzan doesn't know that the vine has a breaking strength of 1000 N.(adsbygoogle = window.adsbygoogle || []).push({}); Find the tension on the vine.Does he make it safely across the river?

m = 85.0 kg, r = 10.5 m, v = 9.00 m/s, T = ?

f_{c}= ma_{c}, a_{c}= v^{2}/r, therefore f_{c}= mv^{2}/r

sigma f = m(v^{2}/r)

T - mg = m(v^{2}/r)

T - (85)(9.8) = (85)(9^{2})/(10.5)

T - (833) = 655.714

T =1488.71,no

Solution is wrong. Can someone point me in the right direction, or point out my mistakes? Thanks in advance!

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# Homework Help: Swinging from a vine (circular motion/tension problem)

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