A particle of mass `m` moving on a smooth surface with velocity `10 m//s` strikes another particle of mass `2 m` moving with `5 m//s` in the same direction . If the collision is elastic and head - on , find velocities of particles after the collision.

Explanation

To solve the problem of finding the velocities of two particles after an elastic collision, we can follow these steps:

### Step 1: Define the initial conditions
Let:
- Mass of the first particle, \( m_1 = m \)
- Initial velocity of the first particle, \( u_1 = 10 \, \text{m/s} \)
- Mass of the second particle, \( m_2 = 2m \)
- Initial velocity of the second particle, \( u_2 = 5 \, \text{m/s} \)
...