Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN: 9780078807213
Author: Paul W. Zitzewitz
Publisher: Glencoe/McGraw-Hill
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Chapter 10, Problem 59A

(a)

To determine

The magnitude of slope of the graph.

To show: The relation F=kd for the value of k

(a)

Expert Solution
Check Mark

Answer to Problem 59A

The slope of the graph k=25N/m .

The force F=kd is proved for k=25N/m .

Explanation of Solution

Given:

The given force-elongation graph is shown below.

  Glencoe Physics: Principles and Problems, Student Edition, Chapter 10, Problem 59A , additional homework tip  1

Formula used:

For the graph, the expression for the slope is,

  k=ΔyΔx

Here, Δy is the loading change and Δx is the changing distance.

Calculation:

Consider the given graph. The slope of the graph is,

  k=ΔyΔxk=(5.00 N)(0.00 N)(0.20 m)(0.00 m)k=25N/m

From the graph, the distance d=0.20 m and the force at a distance of 0.20 m is F=5.00 N

Substitute the value of k and d in F=kd

  F=kdF=(25N/m)×(0.20 m)F=5.00 N

Hence, the force F=kd is proved.

Conclusion:

Thus, the slope of the graph is k=25N/m . Also, the force F=kd is proved.

(b)

To determine

The work done in stretching the spring using the graph.

(b)

Expert Solution
Check Mark

Answer to Problem 59A

The work done in stretching the spring is 0.50 J .

Explanation of Solution

Given:

The given force-elongation graph is shown below.

  Glencoe Physics: Principles and Problems, Student Edition, Chapter 10, Problem 59A , additional homework tip  2

Formula used:

The expression for the graph is,

  Work done=Area under the graph

Calculation:

Consider the given graph, the work done in stretching the spring is

  Work done=AreaWork done=12×FdWork done=12×(5.00 N)×(0.20 m)Work done=0.50 J

Conclusion:

Thus, the work done in stretching the spring is 0.50 J .

(c)

To determine

To show:The work done obtained in part (b) is valid for the given values.

(c)

Expert Solution
Check Mark

Answer to Problem 59A

The work done in stretching the spring is 0.50 J is same as given value.

Explanation of Solution

Given:

The given force-elongation graph is shown below.

  Glencoe Physics: Principles and Problems, Student Edition, Chapter 10, Problem 59A , additional homework tip  3

The distance is 0.20 m.

Spring constant is k=25N/m

Formula used:

The expression for the graph using the graph as follows:

  W=12kd2

Here, k is the slope of the graph and d is the distance the spring is stretched.

Calculation:

Work done obtained in part (b) is 0.50 J.

For the given values, work done in stretching the spring is,

  W=12kd2W=12×(25N/m)×(0.20 m)2W=0.50 J

So, the work done in stretching the spring is W=0.50 J .

Conclusion:

Thus, the work done in stretching the spring is same as the given value.

Chapter 10 Solutions

Glencoe Physics: Principles and Problems, Student Edition

Ch. 10.1 - Prob. 11PPCh. 10.1 - Prob. 12PPCh. 10.1 - Prob. 13PPCh. 10.1 - Prob. 14PPCh. 10.1 - Prob. 15SSCCh. 10.1 - Prob. 16SSCCh. 10.1 - Prob. 17SSCCh. 10.1 - Prob. 18SSCCh. 10.1 - Prob. 19SSCCh. 10.1 - Prob. 20SSCCh. 10.1 - Prob. 21SSCCh. 10.1 - Prob. 22SSCCh. 10.1 - Prob. 23SSCCh. 10.1 - Prob. 24SSCCh. 10.2 - Prob. 25PPCh. 10.2 - Prob. 26PPCh. 10.2 - Prob. 27PPCh. 10.2 - Prob. 28PPCh. 10.2 - Prob. 29PPCh. 10.2 - Prob. 30SSCCh. 10.2 - Prob. 31SSCCh. 10.2 - Prob. 32SSCCh. 10.2 - Prob. 33SSCCh. 10.2 - Prob. 34SSCCh. 10 - Prob. 35ACh. 10 - Prob. 36ACh. 10 - Prob. 37ACh. 10 - Prob. 38ACh. 10 - Prob. 39ACh. 10 - Prob. 40ACh. 10 - Prob. 41ACh. 10 - Prob. 42ACh. 10 - Prob. 43ACh. 10 - Prob. 44ACh. 10 - Prob. 45ACh. 10 - Prob. 46ACh. 10 - Prob. 47ACh. 10 - Prob. 48ACh. 10 - Prob. 49ACh. 10 - Prob. 50ACh. 10 - Prob. 51ACh. 10 - Prob. 52ACh. 10 - Prob. 53ACh. 10 - Prob. 54ACh. 10 - Prob. 55ACh. 10 - Prob. 56ACh. 10 - Prob. 57ACh. 10 - Prob. 58ACh. 10 - Prob. 59ACh. 10 - Prob. 60ACh. 10 - Prob. 61ACh. 10 - Prob. 62ACh. 10 - Prob. 63ACh. 10 - Prob. 64ACh. 10 - Prob. 65ACh. 10 - Prob. 66ACh. 10 - Prob. 67ACh. 10 - Prob. 68ACh. 10 - Prob. 69ACh. 10 - Prob. 70ACh. 10 - Prob. 71ACh. 10 - Prob. 72ACh. 10 - Prob. 73ACh. 10 - Prob. 74ACh. 10 - Prob. 75ACh. 10 - Prob. 76ACh. 10 - Prob. 77ACh. 10 - Prob. 78ACh. 10 - Prob. 79ACh. 10 - Prob. 80ACh. 10 - Prob. 81ACh. 10 - Prob. 82ACh. 10 - Prob. 83ACh. 10 - Prob. 84ACh. 10 - Prob. 85ACh. 10 - Prob. 86ACh. 10 - Prob. 87ACh. 10 - Prob. 88ACh. 10 - Prob. 89ACh. 10 - Prob. 90ACh. 10 - Prob. 91ACh. 10 - Prob. 92ACh. 10 - Prob. 93ACh. 10 - Prob. 94ACh. 10 - Prob. 95ACh. 10 - Prob. 96ACh. 10 - Prob. 97ACh. 10 - Prob. 98ACh. 10 - Prob. 99ACh. 10 - Prob. 100ACh. 10 - Prob. 101ACh. 10 - Prob. 102ACh. 10 - Prob. 1STPCh. 10 - Prob. 2STPCh. 10 - Prob. 3STPCh. 10 - Prob. 4STPCh. 10 - Prob. 5STPCh. 10 - Prob. 6STPCh. 10 - Prob. 7STPCh. 10 - Prob. 8STP
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