## A Swinging Monkey A 8.72 kg monkey is hanging by one arm from a branch and swinging on a vertical circle. As an approximation, assume that t

Question

A Swinging Monkey A 8.72 kg monkey is hanging by one arm from a branch and swinging on a vertical circle. As an approximation, assume that the radial distance between the branch and the point where the monkey’s mass is located to be 84.1 cm. As it swings through the lowest point on the circle, the monkey has a speed of 2.53 m/s. Calculate the magnitude of the centripetal force acting on the monkey.

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1 year 2021-08-03T10:16:53+00:00 1 Answers 15 views 0

Centripetal force, F = 66.36 N

Explanation:

Given that,

Mass of the monkey, m = 8.72 kg

The radial distance between the branch and the point where the monkey’s mass is located to be 84.1 cm, r = 84.1 cm

The speed of the monkey, v = 2.53 m/s

We need to find the  magnitude of the centripetal force acting on the monkey. It is given by :

$$F=\dfrac{mv^2}{r}\\\\F=\dfrac{8.72\times (2.53)^2}{84.1\times 10^{-2}}\\\\F=66.36\ N$$

So, the magnitude of the centripetal force acting on the monkey is 66.36 N.