Tarzan tries to cross a river by swinging from one bank to the other on a vine that is 10.0 m long. his speed at the bottom of the swing is 8.0 m/s. tarzan does not know that the vine has a breaking strength of 1.0 x 103 n. what is the largest mass that tarzan can have and still make it safely across the river?

The  largest mass that Tarzan can have and still make it safely across the river is of 61.72 kg.

Given data:

The length of rope is, L = 10 m.

Speed at the bottom of swing is, v = 8 m/s.

Breaking strength of string is, T = 1000 N.

At the bottom point, the weight is acting downward and tension force on the string is acting upward. So, the balanced equilibrium condition is,

Thus, we can conclude that the largest mass that Tarzan can have and still make it safely across the river is of 61.72 kg.

Learn more about the equilibrium of forces here:

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61.72 kg

Explanation:

Given

Length of rope

Speed at bottom of swing

Breaking strength of string

At bottom Point

weight is acting downward and Tension is opposing it

Thus

maximum mass Tarzan can have is