A 50 g bullet is fired from a 10 kg gun with a speed of 500 `ms^(-1)`. What is the speed of the recoil of the gun.

Explanation

To solve the problem of finding the speed of the recoil of the gun when a bullet is fired, we can use the principle of conservation of momentum. Here’s a step-by-step solution:

### Step 1: Understand the Problem
We have a bullet with a mass of 50 g (which is 0.050 kg) being fired from a gun with a mass of 10 kg. The bullet is fired with a speed of 500 m/s. We need to find the speed of the recoil of the gun.

### Step 2: Write Down the Conservation of Momentum Equation
According to the law of conservation of momentum, the total momentum before the bullet is fired must equal the total momentum after the bullet is fired. Initially, both the bullet and the gun are at rest, so the initial momentum is zero.

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