Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
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 experienced by the crooked tooth.

Answer to Problem 1P

The magnitude of the net force experienced by the crooked tooth is 8.71N.

Explanation of Solution

The tension in the wire is 18.0N.

From the figure, the horizontal components of tension are equal and opposite and cancel each other. Thus the net force in the x- direction is zero.

The vertical components of tension are acting in the inward direction

Write the expression for net force in the y-direction.

    Fy=Tsin14°Tsin14°=2Tsin14°

Here, T is the tension the wire brace, Fy is summation of the forces along y-axis and N is the magnitude of the normal force.

Write the expression for the net force on the tooth.

  R=(Fy)2+(Fx)2

Here, R is the magnitude of the net force on the tooth and Fx is the net force in the x-direction.

Conclusion:

Substitute 0 for Fx and 2Tsin14° for Fy and 18.0N for T in above equation to find R.

    R=0+(2(18.0N)sin14°)2=8.709N8.71N

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

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