A particle of mass m moving with speed u collides perfectly inelastically with another particle of mass 2m at rest. Find loss of kinetic energy of system in the collision.

Explanation

To solve the problem of finding the loss of kinetic energy in a perfectly inelastic collision between two particles, we can follow these steps:

### Step 1: Understand the initial conditions
We have two particles:
- Particle 1: mass \( m \) moving with speed \( u \)
- Particle 2: mass \( 2m \) at rest (speed = 0)

### Step 2: Calculate the initial kinetic energy
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