Pool Players: Answer this collision question

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Discussion Overview

The discussion revolves around the physics of collisions in pool, specifically addressing why a moving cue ball can come to a stop while transferring its velocity to a stationary target ball. The scope includes theoretical explanations of momentum and energy conservation, as well as practical techniques used in pool playing.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • Some participants suggest that when a moving ball collides with a stationary ball, the moving ball can become stationary and the other ball takes on its velocity, but this is conditional on specific factors such as mass and type of collision.
  • One participant notes that if both balls have the same mass, the collision is head-on, energy is conserved, and the cue ball is not spinning, then the cue ball must stop for momentum and energy to be conserved.
  • Another participant introduces Newton's cradle as a similar example of momentum and energy conservation in elastic collisions, emphasizing that these principles apply under ideal conditions.
  • It is mentioned that spin and the nature of the pool table can affect the outcome of the collision, indicating that the rules of momentum and energy conservation may not always hold true in practical scenarios.
  • A participant describes techniques for achieving a dead stop of the cue ball at collision, detailing how the cue ball's spin affects its motion and the importance of striking the ball at specific points to control its behavior post-collision.
  • There is a discussion about the transition of the cue ball from spinning backward to rolling forward, highlighting the complexities involved in executing precise shots in pool.

Areas of Agreement / Disagreement

Participants express varying views on the conditions under which a moving ball can stop while transferring its velocity to another ball. There is no consensus on the implications of spin and table conditions, indicating that multiple competing views remain.

Contextual Notes

The discussion includes assumptions about ideal conditions for collisions, such as equal mass and no spin, which may not always apply in real-world scenarios. The impact of spin and friction on the cue ball's motion is also noted as a factor that complicates the analysis.

gauss44
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What is the physics explanation of why, when you play pool, and one ball slams into another ball, does the ball originally in motion become stationary and the other ball takes on all the velocity?
 
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gauss44 said:
does the ball originally in motion become stationary and the other ball takes on all the velocity?
Not always.
You can use momentum to solve these kind of problems
 
If the two balls have the same mass, the collision is head on, energy is conserved, and the cue ball wasn't spinning, the only way to conserve both energy and momentum is if the cue ball stops and the other ball takes all the velocity. Notice all the ifs.
 
Newton's cradle is a more ideal example of the same thing happening. You can do the same thing with coins on a smooth table, when a moving one hits a stationary one.

In 'words', a fair explanation is that momentum and kinetic energy are both conserved in these near-ideal (elastic) collisions. The total momentum is (always) conserved so it is carried by just the moving ball, initially. In elastic collisions, no Kinetic Energy is lost and the parting velocity is the same as the approach velocity. For those two conditions to be met, the second ball must have all the velocity (momentum), so the first ball must be left stationary.

Spin and the nature of the pool table mean that the above rule of thumb is not always followed.
There is another useful rule of thumb in these situations and that is, the second ball will always travel away from the impact along the 'line of centres' of the two balls. That's because the only force on the balls is radial from the contact point.
 
Getting the cue ball to stop dead at collision is one of the primary techniques in pool. The way it is done is by ensuing that the cue ball is not spinning at contact with the target ball.

Hitting the cue ball, by striking high, middle, or low, will determine whether it spins forward or backward immediately after the strike. A backspin means that the ball is sliding and rotating backward before transitioning to rolling forward. The skillful player who wants to stop the cue dead at collision makes the cue ball's transition point between backspin and rolling forward coincide with the event of contact.

By adjusting this back and forth, he can also make the cue ball roll slightly forward or backward after contact to assume a desired resting position, and likewise for shots where the collision is offset to make these motions at an angle (except you can't do the dead stop on an angle collision, but you can control the resting position of the cue ball).

If you mark some stripes on the cue ball and hit it low, you will see that for the first part of its motion forward the cue ball is spinning backwards, then friction slows this until it is sliding without rolling for just an instant, then it begins to take a forward rolling motion.

The dead stop is when the cue hits the target when the cue is in the sliding non-rolling state of its motion.
 

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