A body of a mass m moving with speed v collides elastically head on with another body of mass m, initially at rest. Show that the moving body will come to a stop after collision.

Explanation

To solve the problem of a body of mass \( m \) moving with speed \( v \) colliding elastically head-on with another body of mass \( m \) that is initially at rest, we will use the principles of conservation of momentum and the properties of elastic collisions.

### Step-by-Step Solution:

1. **Identify the masses and initial velocities**:
- Let the mass of the first body (moving) be \( m \) and its initial velocity be \( v \).
- Let the mass of the second body (at rest) also be \( m \) and its initial velocity be \( 0 \).

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