A 80.6 kg ice skater is moving at 3.34 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.714 m around the pole. Find the force exerted by the rope on her arms. The acceleration of gravity is 9.8 m/s 2. Answer in units of kN.

Question

Physics

Loki

13 February, 23:02

A 80.6 kg ice skater is moving at 3.34 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.714 m around the pole. Find the force exerted by the rope on her arms. The acceleration of gravity is 9.8 m/s 2. Answer in units of kN.

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Answers (1)

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Lawson Frey · Answer 1

Answer: 1.26kN

Explanation:

This kind of force that keeps a body moving in a circular path is known as the centripetal force (F). This force depends on the mass (m), velocity (v) and radius of the circular path in which the body moves (r).

Mathematically,

F = mv²/r

According to the question

Mass = 80.6kg

velocity = 3.34m/s

radius = 0.714m

F = 80.6*3.34²/0.714

F = 1259.3N

F = 1.26kN

Note that 1000N = 1kN