A hemispherical bowl of radius `R=5` metre is fixed on a horizontal surface its inner surface to be smooth. Three smooth and perfectly inelastic ball of mass `3kg`, `4kg` and `5kg` simultaneously released from the edge of bowl in such way that during the collision with each other, their kinetic energy loss is maximum. If the maximum kinetic energy lost during the collision is `300n` Joule. Find the value of `n`. (take `g=10 m//s^(2)`)

Explanation

To solve the problem, we need to determine the maximum kinetic energy lost during the collision of three balls released from the edge of a hemispherical bowl. Here's a step-by-step breakdown of the solution:

### Step 1: Understand the Initial Conditions
We have three balls with the following masses:
- Ball A: \( m_A = 3 \, \text{kg} \)
- Ball B: \( m_B = 4 \, \text{kg} \)
- Ball C: \( m_C = 5 \, \text{kg} \)

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