Draw a plot of spring force versus displacement x. Hence find an expression for the P.E of an elastic spring.

Asked by Topperlearning User | 8th Jul, 2014, 11:08: AM

Expert Answer:

The plot of spring force vs displacement is shown below.
 
According to the Hooke’s law, the spring force for an extension xm is
Fs = -kxm
The work done by the spring force for the extension xm is
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In order to stretch the spring slowly, an external force F equal and opposite to the force Fs has to be applied. So, work done by external force F is
Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.
This work done is stored as potential energy of the spring.
Thus, we have
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Answered by  | 8th Jul, 2014, 01:08: PM