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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.

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

f

sigma f = m(v

T - mg = m(v

T - (85)(9.8) = (85)(9

T - (833) = 655.714

T =

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

*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}/rsigma 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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