Snooker/billiard/Newton's balls

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SUMMARY

The discussion centers on the physics of energy transfer in billiard balls, specifically how a shot in snooker can cause a chain reaction similar to a Newton's cradle. When the cue ball strikes a red ball, which is in contact with another red ball, the energy is transmitted through the balls at the speed of sound in the material of the balls. The stiffness of the balls affects the duration of the collisions, influencing how quickly the energy is transferred. The concept can be extended theoretically to a large number of balls, such as 100 or even 1000, maintaining the same energy transfer effect.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of energy transfer in elastic collisions
  • Basic knowledge of the properties of materials, specifically stiffness and deformation
  • Awareness of sound wave propagation in solids
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  • Research the speed of sound in different materials, particularly in billiard balls
  • Explore the physics of elastic collisions and energy conservation
  • Investigate the mechanics of Newton's cradle and its applications in physics
  • Study the effects of stiffness and deformation on collision dynamics
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Physics enthusiasts, billiard players, educators in mechanics, and anyone interested in the principles of energy transfer and collision dynamics.

whoeli
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Hi guys,

I just joined so I could ask a question on something about which I've been curious for quite a while.

Imagine a shot in snooker whereby the white ball hits a red, and that red was already touching another red. The result of the shot is that that second red gets fired away like a ball on a Newton's cradle.

Now you can put more balls into the shot and, provided they're all stuck together, the ball at the end of the line will be fired away like the end ball in a Newton's cradle.

My question is quite an open one. Given a big enough billiard table and enough balls, I could, I assume, make a line of, say, 100 balls and get the same effect. 1000 balls, even? A million balls? The main part of my question I'm interested in is this: How fast does the energy pass through the balls?
 
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whoeli said:
How fast does the energy pass through the balls?
Forces are transmitted through the balls at the speed of sound in the balls. There is also a stiffness factor (how much the balls deform versus compressive force), that determines the duration of the collisions. Link to a web page with info on Newton's cradle:

http://www.lhup.edu/~dsimanek/scenario/cradle.htm
 
Thanks so much. :) I appreciate it.
 

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