Question

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?

Answer 1

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 $61.72 kg$

Answer 2

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,

$T - mg =\dfrac{mv^{2}}{L} \\\\T =mg+\dfrac{mv^{2}}{L} \\\\T =m(g+\dfrac{v^{2}}{L})\\\\1000 =m\times(9.8+\dfrac{8^{2}}{10})\\\\m=61.72 \;\rm kg$

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:

https://brainly.com/question/24018969