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

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 80 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 2.5 m/s. (a) Find the magnitude of the centripetal forceacting on the monkey.
Enter anumber. 1 N

(b) Find the magnitude of the tension in the monkey's arm.
Enter anumber. 2 N (a) Find the magnitude of the centripetal forceacting on the monkey.
Enter anumber. 1 N

(b) Find the magnitude of the tension in the monkey's arm.
Enter anumber. 2 N Enter anumber. Enter anumber.

Explanation / Answer

   mass, m = 9.5g    radius , r = 0.8 m    speed at lowest point, v = 2.5 m/s (1)   centripetal force = m v2 / r =9.5 * 2.52 / 0.8 = 74.22 N (2)   Tension at lowest point = m v2/ r + mg = ( 9.5 * 2.52 / 0.8 ) + 9.5 * 9.8 = 74.22+ 93.1 = 167.32 N

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