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CALC Consider a spring that does not obey Hooke’s law very

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 74P Chapter 6

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 74P

CALC? Consider a spring that does not obey Hooke’s law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount x, a force along the x-axis with x-component F? = kxx? bx2 + cx3 must be applied to the free end. Here k = 100 N/m, b = 700 N/m2, and c = 12,000 N/m3. Note that x > 0 when the spring is stretched and x < 0 when it is compressed. (a) How much work must be done to stretch this spring by 0.050 m from its unstretched length? (b) How much work must be done to ?compress? this spring by 0.050 m from its unstretched length? (c) Is it easier to stretch or compress this spring? Explain why in terms of the dependence of F? on x. (Many real springs behave qualitatively in x? the same way.)

Step-by-Step Solution:

Solution 74P Introduction The force as a function of stretch is given, we have to calculate the work done to stretch the spring. Step 1 The work done is given by Now the force is given by Step 2 During stretching we have x = 0 and x = 0.050 m. 1 2 Hence the work done during stretching can be written as Now putting the values of a, b, c we have So, 0.126 J of work must be done to stretch the spring by 0.050 m.

Step 3 of 4

Chapter 6, Problem 74P is Solved
Step 4 of 4

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The full step-by-step solution to problem: 74P from chapter: 6 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 “CALC? Consider a spring that does not obey Hooke’s law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount x, a force along the x-axis with x-component F? = kxx? bx2 + cx3 must be applied to the free end. Here k = 100 N/m, b = 700 N/m2, and c = 12,000 N/m3. Note that x > 0 when the spring is stretched and x < 0 when it is compressed. (a) How much work must be done to stretch this spring by 0.050 m from its unstretched length? (b) How much work must be done to ?compress? this spring by 0.050 m from its unstretched length? (c) Is it easier to stretch or compress this spring? Explain why in terms of the dependence of F? on x. (Many real springs behave qualitatively in x? the same way.)” is broken down into a number of easy to follow steps, and 148 words. This full solution covers the following key subjects: spring, must, much, stretch, work. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 74P from 6 chapter was answered, more than 594 students have viewed the full step-by-step answer.

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