Four bodies each of mass m are placed at the different corners of a square of side a. find the work done on the system to take any one body to infinity.

Explanation

To find the work done on the system to take any one body to infinity, we can follow these steps:

### Step 1: Calculate the Initial Potential Energy of the System
The potential energy \( U \) between two masses \( m_1 \) and \( m_2 \) separated by a distance \( r \) is given by the formula:
\[ U = -\frac{G m_1 m_2}{r} \]
In our case, we have four masses \( m \) at the corners of a square with side length \( a \). We need to calculate the potential energy for all pairs of masses.
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