A shell of mass 100 kg is fired from a cannon with a mass of `5xx10^(3)kg`. The kinetic energy of the shell at the end of the barrel is `7.5xx10^(6)J`. What is the kinetic energy imparted to the cannon by the recoll ? Find the ratio of force experienced by the shell and the the cannon.

Explanation

To solve the problem, we need to find the kinetic energy imparted to the cannon by the recoil and the ratio of forces experienced by the shell and the cannon.

### Step-by-Step Solution:

1. **Identify Given Data:**
- Mass of the shell, \( m_1 = 100 \, \text{kg} \)
- Mass of the cannon, \( m_2 = 5 \times 10^3 \, \text{kg} \)
- Kinetic energy of the shell, \( KE_1 = 7.5 \times 10^6 \, \text{J} \)
...