Two particles of equal mass go round a circle of radius R under the action of their mutual gravitational attraction. Find the speed of each particle.

Explanation

To find the speed of each particle in a system where two particles of equal mass are moving in a circle of radius \( R \) under the influence of their mutual gravitational attraction, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the System**:
We have two particles, each with mass \( m \), revolving around a common center of mass in a circular path. The distance between the two particles is \( 2R \) since each particle is at a distance \( R \) from the center of the circle.

2. **Gravitational Force**:
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