Tarzan (m= 85.0kg) tries to cross a river by swinging on a vine. The vine is 10.0m long, and his speed at the bottom of the swing ( as he just clears the water) will be $8.00 m s^{- 1}$ . Tarzon does not know that the vine has a breaking strength of 1000 N. Does he make it across the river safely.

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Solution

Maximum force on wire if he cross the river is $m g + \frac{{m V}^{2}}{r}$
$= 85 \times 10 + \frac{85 \times 8 \times 8}{10}$
$= 850 + 544$
$= 1394 N$
Which is greater than breaking strength. Hence he will not cross the rivers.

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