Two identically charged particles are fastened to the two ends of a spring of spring constant `100 N m ^(-1) ,` find the extension In the length of the spring. Assume that the extension is small as compared to the natural length . Justify this assumption after you solve the problem.

Explanation

To solve the problem of finding the extension in the length of the spring when two identically charged particles are fastened to its ends, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Forces Acting on the Spring**:
The two charged particles will exert an electrostatic repulsive force on each other due to their identical charges. This force will cause the spring to extend.

2. **Use Coulomb's Law for Electrostatic Force**:
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