An object of mass m moving with speed u collides one dimentionally with another identical object at rest. Find their velocities after collision, if coefficient of restitution of collision is e.

Explanation

To solve the problem of finding the velocities of two identical objects after a one-dimensional collision, we will use the principles of conservation of momentum and the definition of the coefficient of restitution.

### Step-by-Step Solution:

1. **Define the Initial Conditions:**
- Let the mass of each object be \( m \).
- The first object (mass 1) is moving with speed \( u \) (initial velocity \( u_1 = u \)).
- The second object (mass 2) is at rest (initial velocity \( u_2 = 0 \)).
...