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# Hooke’s Law for a Wire. A wire of length where Y is ISBN: 9780321675460 31

## Solution for problem 88P Chapter 11

University Physics | 13th Edition

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Problem 88P

Hooke’s Law for a Wire. A ? wire of length where Y? ?is Young’s modulus for the material of which the wire is made. (b) What would the force constant be for a 75.0-cm length of 16-gauge (diameter = 1.297 mm) copper wire? See Table 11.1. (c) What would ?W h ? ave to be to stretch the wire in part (b) by 1.25 mm?

Step-by-Step Solution:

Solution 88P Step 1: Introduction In this question we have a wire, we need to find the force constant copper wire In the second part, we need to find weight by the wire can be stretched by 1.25 mm Data given Length of the wire l = 75 cm = 0.75 m 0 Diameter of the wire d = 1.297 mm radiusr = 0.6485 mm = 0.000648 m Amount stretched l = 1.25 mm = 0.000125 m 10 Young’s modulus Y = 11 × 10 Pa Step 2 : The force constant is given by The force constant is obtained using This can be written as F/A Y = l0l This is resolved to find force constant by F/l = Y (A/l 0 Here F/l = k = force constant Hence we have k = Y (A/l 0 We have the area of the wire using A = r 2 We get area as A = × (0.000648 m) 2 A = 1.319 × 10 m6 2 Using this we have force constant as 10 6 2 k = 11 × 10 Pa × (1.319 × 10 m /0.75 m) 5 k = 1.9 × 10 5 Hence we have force constant of the wire as 1.9 × 10

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##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 88P from chapter: 11 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “Hooke’s Law for a Wire. A ? wire of length where Y? ?is Young’s modulus for the material of which the wire is made. (b) What would the force constant be for a 75.0-cm length of 16-gauge (diameter = 1.297 mm) copper wire? See Table 11.1. (c) What would ?W h ? ave to be to stretch the wire in part (b) by 1.25 mm?” is broken down into a number of easy to follow steps, and 65 words. Since the solution to 88P from 11 chapter was answered, more than 252 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Wire, length, made, diameter, Force. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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