A 9.37 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 86.8 cm. As it swings through the lowest point on the circle, the monkey has a speed of 2.90 m/s. Calculate the magnitude of the centripetal force acting on the monkey.
F = mv^2/r
To calculate the magnitude of the centripetal force acting on the monkey, we can use the formula:
Centripetal force = (mass x velocity squared) / radius
Here, the mass of the monkey is given as 9.37 kg, the velocity is 2.90 m/s, and the radius is the radial distance between the branch and the point where the monkey's mass is located, which is given as 86.8 cm or 0.868 m.
Plugging in these values into the formula:
Centripetal force = (9.37 kg x 2.90 m/s^2) / 0.868 m
Calculating this:
Centripetal force ≈ 31.40 N
Therefore, the magnitude of the centripetal force acting on the monkey is approximately 31.40 Newtons.