Tarzan plans to cross a gorge by swinging in an arc from a hanging vine. If his arms are capable of exerting a force of 1170 N on the rope, what is the maximum speed (in meters/second) he can tolerate at the lowest point of his swing? His mass is 83.0 kg, and the vine is 18.0 m long.

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  1. his weight plus the centripetal force must equal 1170 N

    83.0 [g + (v^2 / r)] = 1170

    v^2 / 18.0 = (1170 / 83.0) - 9.81

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