An extension of 10 cm is produced in a spring (spring constant = 1000 `Nm^(-1)`). Calculate the work done to increase the extension from 10 cm to 20 cm.

Explanation

To calculate the work done to increase the extension of a spring from 10 cm to 20 cm, we can follow these steps:

### Step 1: Understand the relationship between work done and potential energy in a spring
The work done on a spring when it is stretched or compressed is equal to the change in potential energy of the spring. The potential energy (PE) stored in a spring is given by the formula:
\[ PE = \frac{1}{2} k x^2 \]
where \( k \) is the spring constant and \( x \) is the extension (or compression) of the spring from its natural length.
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