Concept explainers
(a)
To graph of force applied to a spring versus spring length and plot the force on y-axis from a given table of force and length of spring extensions.
(a)
Explanation of Solution
Introduction:
Given table is,
Force magnitude, F(N) | Extension, x(m) |
2.5 | 0.12 |
5.0 | 0.26 |
7.5 | 0.35 |
10.0 | 0.50 |
12.5 | 0.60 |
15.0 | 0.71 |
The graph of the given table is plotted as force(F) versus spring length(x),
Conclusion:
Hence, the required answers are given above.
(b)
To find: the spring constant from the graph.
(b)
Explanation of Solution
Introduction:
Given table is,
Force magnitude, F(N) | Extension, x(m) |
2.5 | 0.12 |
5.0 | 0.26 |
7.5 | 0.35 |
10.0 | 0.50 |
12.5 | 0.60 |
15.0 | 0.71 |
The spring constant can be determined from the slope of the graph plotted above,
Substituting
Conclusion:
Hence, the required potential energy is
(c)
To find: the elastic potential energy stored in the spring when stretched by 5.0m using the graph.
(c)
Explanation of Solution
Introduction:
Given table is,
Force magnitude, F(N) | Extension, x(m) |
2.5 | 0.12 |
5.0 | 0.26 |
7.5 | 0.35 |
10.0 | 0.50 |
12.5 | 0.60 |
15.0 | 0.71 |
The potential energy can be determined from the area under the graph.
Here, b is the breadth and h is the height.
Substituting 0.50 m in b and 10 N in h
Conclusion:
Hence, the required potential energy is
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Glencoe Physics: Principles and Problems, Student Edition
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