Find the potential energy of a system of four particles each of mass 2m kept at the vertices of a square of side x. Also find the potential at the centr of the square.

Explanation

To find the potential energy of a system of four particles each of mass \(2m\) kept at the vertices of a square of side \(x\), and to find the potential at the center of the square, we can follow these steps:

### Step 1: Understand the Configuration
We have four particles, each of mass \(2m\), placed at the vertices of a square. The side length of the square is \(x\).

### Step 2: Calculate the Distance Between Particles
The distance between any two adjacent particles (vertices) is simply the side of the square, which is \(x\). The distance between two opposite vertices (diagonal) can be calculated using the Pythagorean theorem:
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