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Tarzan (m = 81 kg) tries to cross a river by swinging from a 9 m long vine. His speed at the bottom of the swing (as he just clears the water) is 5.8 m/s. The acceleration of gravity is 9.8 m/s 2 . What should be the breaking strength of the vine is so that Tarzan can make it safely across the river?

Respuesta :

Answer:

1096.56 N

Explanation:

given,

mass of Tarzan = 81 Kg

r = 9 m

speed, v = 5.8 m/s

acceleration due to gravity = 9.8 m/s²

motion of Tarzan is in circular motion

Centripetal force

[tex]F = \dfrac{mv^2}{r}[/tex]

[tex]F = \dfrac{81\times 5.8^2}{9}[/tex]

     F = 302.76 N

Normal Force  acting on Tarzan

F = mg

F = 81 x 9.8

F = 793.8 N

Net force = 302.76 N + 793.8 N

               = 1096.56 N

The breaking strength of the vine should be more than 1,096.56 N.

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