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A certain spring has a force constant k. (a) If this

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker ISBN: 9780321541635 54

Solution for problem 19P Chapter 6

Physics with MasteringPhysics | 4th Edition

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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

Physics with MasteringPhysics | 4th Edition

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Problem 19P

A certain spring has a force constant k. (a) If this spring is cut in half, does the resulting half spring have a force constant that is greater than, less than, or equal to k? (b) If two of the original full-length springs are connected end to end, does the resulting double spring have a force constant that is greater than, less than, or equal to k?

Step-by-Step Solution:

Solution 19P

Step 1 of 3</p>

a)

Here we need to check whether the spring constant will decrease, increase or remains same as we cut the spring into half.

From the Hooke’s law we know that,

-----------------------(1)

--------------------------(2)

Where is the potential energy stored in the spring when we extend the spring by a distance of .

Step 2 of 3</p>

Now after cutting the spring into two halfs,

--------------------------(3)

Where and is the new spring constant.

From equation (3),

.

So, we got that,

.

The spring constant increases by 4 times.

Step 3 of 3

Chapter 6, Problem 19P is Solved
Textbook: Physics with MasteringPhysics
Edition: 4
Author: James S. Walker
ISBN: 9780321541635

This full solution covers the following key subjects: spring, Force, constant, end, resulting. This expansive textbook survival guide covers 32 chapters, and 3833 solutions. This textbook survival guide was created for the textbook: Physics with MasteringPhysics, edition: 4. Since the solution to 19P from 6 chapter was answered, more than 796 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 19P from chapter: 6 was answered by , our top Physics solution expert on 07/27/17, 10:59AM. Physics with MasteringPhysics was written by and is associated to the ISBN: 9780321541635. The answer to “A certain spring has a force constant k. (a) If this spring is cut in half, does the resulting half spring have a force constant that is greater than, less than, or equal to k? (b) If two of the original full-length springs are connected end to end, does the resulting double spring have a force constant that is greater than, less than, or equal to k?” is broken down into a number of easy to follow steps, and 67 words.

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