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 during a perfectly inelastic collision between two particles, follow these steps:

### Step 1: Identify the masses and initial velocities
- Let the mass of the first particle (m₁) be \( m \) and its initial velocity \( u \).
- Let the mass of the second particle (m₂) be \( 2m \) and its initial velocity \( 0 \) (since it is at rest).

### Step 2: Calculate the initial momentum of the system
The initial momentum \( P_i \) of the system can be calculated as:
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