Question

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.

Answer 1

Answer: 1.26kN

Step-by-step 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