A ball of mass m moving with a velocity v along X-axis, strikes another ball of mass 2m kept at rest. The first ball comes to rest after collision and the other breaks into two equal pieces. One of the pieces starts moving along Y-axis with a speed `v_1`. what will be the velocity of the other piece?

Explanation

To solve the problem step by step, we can use the principle of conservation of momentum. Here’s how to approach it:

### Step 1: Understand the Initial Conditions
- A ball of mass \( m \) is moving with a velocity \( v \) along the X-axis.
- Another ball of mass \( 2m \) is at rest.

### Step 2: Write Down the Initial Momentum
The initial momentum of the system can be calculated as follows:
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