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For background pertinent to this problem, review Conceptual Example 6.

1. In Figure 5.7, the man hanging upside down is holding a partner who weighs 537 N. Assume that the partner moves on a circle that has a radius of 6.46 m. At a swinging speed of 6.69 m/s, what force must the man apply to his partner in the straight-down position?

2. A 10.8 kg monkey is hanging by one arm from a branch and swinging on a vertical circle. As an approximation, assume a radial distance of 97.9 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 1.73 m/s.

Find:

(a) The magnitude of the centripetal force acting on the monkey.
Number: ________
Units: ________

(b) The magnitude of the tension in the monkey's arm.
Number: ________
Units: ________

Answer :

(a) The magnitude of the centripetal force acting on the monkey is approximately 188.784 N. (b) The magnitude of the tension in the monkey's arm is also approximately 188.784 N.

In this problem, we are given the mass of a monkey, its radial distance from a branch, and its speed at the lowest point on a vertical circle. We need to find the magnitude of the centripetal force acting on the monkey and the tension in its arm.

(a) To find the magnitude of the centripetal force, we can use the equation F = m * v^2 / r, where F is the force, m is the mass, v is the velocity, and r is the radius. Plugging in the given values, the mass of the monkey is 10.8 kg, the speed is 1.73 m/s, and the radius is 97.9 cm (or 0.979 m). Calculating the force using this equation gives us approximately 188.784 N.

(b) The tension in the monkey's arm is equal to the centripetal force acting on it. Therefore, the magnitude of the tension in the monkey's arm is also approximately 188.784 N.

In summary, the magnitude of the centripetal force acting on the monkey is approximately 188.784 N, and the magnitude of the tension in the monkey's arm is also approximately 188.784 N.

Learn more about centripetal force here:

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