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 two identical objects colliding in one dimension, we will use the principles of conservation of momentum and the coefficient of restitution. Let's break it down step by step.

### Step 1: Define the variables
Let:
- Mass of each object = \( m \)
- Initial speed of the first object = \( u \)
- Initial speed of the second object = \( 0 \) (since it is at rest)
- Final speed of the first object after collision = \( v_1 \)
...