Two particles initially at rest move towards each other due to internal forces. Find the velocity of centre of mass when velocity of one particle is v and that of the other is 2v

Explanation

To solve the problem of finding the velocity of the center of mass of two particles moving towards each other with given velocities, we can follow these steps:

### Step 1: Understand the System
We have two particles initially at rest. They are moving towards each other due to internal forces. Let’s denote the masses of the particles as \( m_1 \) and \( m_2 \).

### Step 2: Define the Velocities
Let the velocity of the first particle (moving towards the second) be \( v \) and the velocity of the second particle (moving towards the first) be \( 2v \).

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