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A 9.5-kg monkey is hanging by one arm from a branch and is swingingon a vertical

ID: 1764534 • Letter: A

Question

A 9.5-kg monkey is hanging by one arm from a branch and is swingingon a vertical circle. As an approximation, assume a radial distanceof 85 cm between the branch and the pointwhere the monkey's mass is located. As the monkey swings throughthe lowest point on the circle, it has a speed of 2.9 m/s. (a) Find the magnitude of the centripetal forceacting on the monkey.
1(No Response) N

(b) Find the magnitude of the tension in the monkey's arm.
2(No Response) N (a) Find the magnitude of the centripetal forceacting on the monkey.
1(No Response) N

(b) Find the magnitude of the tension in the monkey's arm.
2(No Response) N

Explanation / Answer

mass m = 9.5 kg radial distance r = 85 cm = 0.85 m speed at lowest point v = 2.9 m / s (a). the magnitude of the centripetal force acting on themonkey F = m v ^ 2 / r                      F = 93.99 N (b).magnitude of the tension in the monkey's arm is T =mv ^ 2 / r + mg                            T = 93.99 N + 93.1 N                               = 187.09 N
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