A cannon of mass 100 kg is kept on a frictionless floor. If a cannon ball of mass 1 kg is fired from it with a speed of 200 m/s. With what velocity the cannon will move ?

Explanation

To solve the problem, we will use the principle of conservation of momentum. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the system
We have a cannon of mass \( m_c = 100 \, \text{kg} \) and a cannonball of mass \( m_b = 1 \, \text{kg} \). The cannonball is fired with a velocity \( v_b = 200 \, \text{m/s} \). The cannon is initially at rest.

### Step 2: Write the conservation of momentum equation
According to the law of conservation of momentum, the total momentum before firing the cannonball must equal the total momentum after firing.

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