Two charged particles of masses m and 2m are placed distane d apart on a smooth horizontal table. Because of their mutual attraction, they move towards each other and collide. Where will the collision occure with respect to the initial positions?

Explanation

To solve the problem of where the collision will occur between two charged particles of masses \( m \) and \( 2m \) placed a distance \( d \) apart, we can use the concept of the center of mass.

### Step-by-step Solution:

1. **Identify the System**: We have two masses, \( m \) and \( 2m \), separated by a distance \( d \). We will denote the position of mass \( m \) as \( x_1 = 0 \) and the position of mass \( 2m \) as \( x_2 = d \).

2. **Calculate the Center of Mass (CM)**: The formula for the center of mass \( x_{cm} \) of a system of particles is given by:
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