Concept explainers
(a)
The magnitude of slope of the graph.
To show: The relation
(a)
Answer to Problem 59A
The slope of the graph
The force
Explanation of Solution
Given:
The given force-elongation graph is shown below.
Formula used:
For the graph, the expression for the slope is,
Here,
Calculation:
Consider the given graph. The slope of the graph is,
From the graph, the distance
Substitute the value of k and d in
Hence, the force
Conclusion:
Thus, the slope of the graph is
(b)
The work done in stretching the spring using the graph.
(b)
Answer to Problem 59A
The work done in stretching the spring is
Explanation of Solution
Given:
The given force-elongation graph is shown below.
Formula used:
The expression for the graph is,
Calculation:
Consider the given graph, the work done in stretching the spring is
Conclusion:
Thus, the work done in stretching the spring is
(c)
To show:The work done obtained in part (b) is valid for the given values.
(c)
Answer to Problem 59A
The work done in stretching the spring is
Explanation of Solution
Given:
The given force-elongation graph is shown below.
The distance is 0.20 m.
Spring constant is
Formula used:
The expression for the graph using the graph as follows:
Here,
Calculation:
Work done obtained in part (b) is 0.50 J.
For the given values, work done in stretching the spring is,
So, the work done in stretching the spring is
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
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