Two particles of equal mass move in a circle of radius r under the action of their mutual gravitational attraction. Find the speed of each particle if its mass is m.

Explanation

To find the speed of each particle moving in a circle of radius \( r \) under the action of their mutual gravitational attraction, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Forces Acting on the Particles**:
Each particle of mass \( m \) experiences a gravitational force due to the other particle. This force will also provide the necessary centripetal force required for circular motion.

2. **Write the Expression for Gravitational Force**:
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