Question

A 9.5-kg monkey is hanging by one arm from a branch and is swinging on a vertical circle. As an approximation, assume a radial distance of 85 cm between the branch and the point where the monkey's mass is located. As the monkey swings through the lowest point on the circle, it has a speed of 2.8 m/s. Find (a) the magnitude of the centripetal force acting on the monkey and (b) the magnitude of the tension in the monkey's arm.

Answer 1

a) 88N

b) 181N

Step-by-step explanation:

The centripetal force is given by:

`F_c=(m*v^2)/(r)\\F_c=(9.5kg*(2.8m/s)^2)/(85*10^(-2)m)\\F_c=88N`

The tension will be equal to the centripetal force acting on the arm of the monkey plus its weight:

`T=m*g+(m*v^2)/(r)\\\\T=9.5kg*9.8m/s^2+88N\\T=181N`