   Chapter 7, Problem 21P

Chapter
Section
Textbook Problem

A 55.0-kg ice skater is moving at 4.00 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 0.800 m around the pole, (a) Determine the force exerted by the horizontal rope on her arms, (b) Compare this force with her weight.

(a)

To determine
The force excerpted by the horizontal rope on her arm.

Explanation

Given Info: The mass of the skater is 55.0kg , the length of the rope is 0.800m , and the linear speed is 4.00m/s .

Explanation:

The formula for the force exerted by the rope on her arm is,

T=mvt2r

• m is mass of the skater.
• vt is linear speed.
• r is length of the rope.

Substitute 55.0kg for m , 4.00m/s for vt , and 0

(b)

To determine
The comparison of the force exerted by the rope on her arm with her weight.

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