A bullet of mass `50g` is fired from a gun of mass `6kg` with a velocity of `400m//s`. Calculate the recoil velocity of the gun.

Explanation

To solve the problem of calculating the recoil velocity of the gun when a bullet is fired, we will use the principle of conservation of momentum. Here are the step-by-step calculations:

### Step 1: Understand the Conservation of Momentum
According to the law of conservation of momentum, the total momentum before an event must equal the total momentum after the event if no external forces are acting on the system.

### Step 2: Define the Initial Momentum
Before the bullet is fired, both the gun and the bullet are at rest. Therefore, the initial momentum of the system (gun + bullet) is:
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