Newton's Third Law: For every action, there is an equal and opposite reaction.
* Action: The cue ball strikes the billiard ball.
* Reaction: The billiard ball exerts an equal and opposite force back on the cue ball.
Conservation of Momentum:
* Momentum: Momentum is a measure of an object's mass in motion (momentum = mass x velocity).
* Conservation: In a closed system (like our billiard table, ignoring friction), the total momentum before a collision equals the total momentum after the collision.
Here's how it works in the collision:
1. Before the collision: The cue ball has momentum, and the billiard ball is at rest (zero momentum).
2. During the collision: The cue ball exerts a force on the billiard ball, transferring some of its momentum. Simultaneously, the billiard ball exerts an equal and opposite force on the cue ball, causing it to slow down.
3. After the collision: The cue ball continues moving but at a slower speed, and the billiard ball is now moving.
The key point: The total momentum of the system (cue ball + billiard ball) remains constant. The momentum lost by the cue ball is gained by the billiard ball.
Important Note: In real-world collisions, factors like friction and spin on the balls can complicate the interaction. However, the fundamental principles of Newton's Third Law and the conservation of momentum still apply.
