A particle of mass m moving with speed v in position x - direction collides perfectly inelastically with another identical particle moving with same speed in positive y - direction . Find final velocity of the combination.

Explanation

To solve the problem of two identical particles colliding perfectly inelastically, we will use the principle of conservation of momentum. Here’s a step-by-step solution:

### Step 1: Understand the Initial Conditions
We have two particles, each with mass \( m \).
- Particle 1 is moving in the positive x-direction with speed \( v \).
- Particle 2 is moving in the positive y-direction with speed \( v \).

### Step 2: Write the Initial Momentum
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