A cannon after firing recoils due to

Options

A. Conservation of energy
B. Backward thrust of gases produced
C. Newton's third law of motion
D. Newton's law of motion

Answer

To solve the question "A cannon after firing recoils due to," we can break down the explanation into a step-by-step analysis based on Newton's laws of motion.

### Step-by-Step Solution:

1. **Understanding the System**:
- We have a cannon and a bullet. Initially, both are at rest. When the cannon is fired, the bullet is propelled forward.

2. **Action and Reaction**:
- According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. When the cannon exerts a force on the bullet to propel it forward, the bullet exerts an equal force in the opposite direction on the cannon.

3. **Change in Momentum**:
- When the bullet is fired, it gains momentum as it moves forward. The cannon, being part of the same system, experiences a change in momentum in the opposite direction (backward).

4. **Recoil of the Cannon**:
- The backward movement of the cannon is referred to as recoil. The force exerted by the bullet on the cannon causes the cannon to move backward.

5. **Conservation of Momentum**:
- The total momentum of the system (cannon + bullet) before firing is zero (since both are at rest). After firing, the momentum of the bullet moving forward and the momentum of the cannon moving backward must still equal zero. This is a demonstration of the conservation of momentum.

6. **Conclusion**:
- Therefore, the cannon recoils due to the equal and opposite reaction force exerted by the bullet as it is fired, in accordance with Newton's Third Law of Motion.

### Final Answer:
The cannon after firing recoils due to the equal and opposite reaction force exerted by the bullet, as described by Newton's Third Law of Motion.