CBSE Class 11-science Answered
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 | 08 Jul, 2014, 11:08: AM
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

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

This work done is stored as potential energy of the spring.
Thus, we have

Answered by | 08 Jul, 2014, 13:08: PM
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