Find the work done in brigning three particles each having a mass of 100 g, from large distances to the vertices of an equilateal triangle of side 20 cm.

Explanation

To find the work done in bringing three particles, each having a mass of 100 g, from large distances to the vertices of an equilateral triangle of side 20 cm, we can follow these steps:

### Step 1: Understand the System
We have three particles, each with a mass \( m = 100 \, \text{g} = 0.1 \, \text{kg} \). They are to be placed at the vertices of an equilateral triangle with a side length of \( r = 20 \, \text{cm} = 0.2 \, \text{m} \).

### Step 2: Calculate the Work Done for Each Particle
1. **Bringing the First Particle**:
- When the first particle is placed at a vertex, there are no other particles exerting gravitational force on it. Thus, the work done \( U_1 = 0 \).
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