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lara31 [8.8K]
3 years ago
8

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 t

he 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?
Physics
2 answers:
ss7ja [257]3 years ago
4 0

Answer:

61.73 kg

Explanation:

Maximum Tension, t = 1000 N

Let the mass of Tarzan is m.

Length of the rope, l = 10 m

velocity, v = 8 m/s

At the lowest point

T - mg = mv²/l

1000 - m x g = m x 64/10

1000 = m ( 9.8 + 6.4 )

m = 1000 / 16.2

m = 61.73 kg

Thus, the largest mass of Tarzan should be 61.73 kg.

pickupchik [31]3 years ago
3 0

Answer:61.72 kg

Explanation:

Given

Length of rope L=10 m

Speed at bottom of swing v=8 m/s

Breaking strength of string T=1000 N

At bottom Point

weight is acting downward and Tension is opposing it

Thus T-mg=\frac{mv^2}{L}

T=mg+\frac{mv^2}{L}

1000=m(9.8+\frac{8^2}{10})

1000=m\cdot 16.2

m=61.72 kg

maximum mass Tarzan can have is 61.72 kg

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