Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 5, Problem 1P

A certain orthodontist uses a wire brace to align a patient’s crooked tooth as in Figure P5.1. The tension in the wire is adjusted to have a magnitude of 18.0 N. Find the magnitude of the net force exerted by the wire on the crooked tooth.

Figure P5.1

Chapter 5, Problem 1P, A certain orthodontist uses a wire brace to align a patients crooked tooth as in Figure P5.1. The

Expert Solution & Answer
Check Mark
To determine

The magnitude of the net force exerted by the wire on the crooked tooth.

Answer to Problem 1P

The magnitude of the net force exerted by the wire on the crooked tooth is 8.71N .

Explanation of Solution

Given info: The tension in the wire is 18.0N .

From the Figure, the vertical components of tension are acted inward direction in the wire brace and a normal force just acts upward to align the patient’s crooked tooth. Hence, this normal force represents the net force exerted by the wire on the crooked tooth.

The summation of the forces along y -axis is equal to the zero.

Fy=0NTsin14°Tsin14°=0

Here,

T is the tension the wire brace.

Fy is summation of the forces along y -axis.

N is the magnitude of the net force exerted by the wire on the crooked tooth.

Substitute 18.0N for T in above equation to find N .

N(18.0N)sin14°(18.0N)sin14°=0N=8.709N8.71N

Conclusion:

Therefore, the magnitude of the net force exerted by the wire on the crooked tooth is 8.71N .

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Chapter 5 Solutions

Physics for Scientists and Engineers with Modern Physics

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