Billiards Ball Collision Analysis

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SUMMARY

The discussion focuses on analyzing the collision between two identical billiard balls using the principles of momentum conservation. The key equation employed is the momentum conservation formula, MaVa + MbVb = MaVa' + MbVb', which remains valid even when the collision occurs at an angle. The participants confirm that since the balls are identical, their masses can be disregarded in calculations. The analysis emphasizes that both momentum and kinetic energy must be conserved in perfectly elastic collisions.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with vector components in physics
  • Knowledge of perfectly elastic collisions
  • Basic algebra for solving equations
NEXT STEPS
  • Study vector decomposition in physics for angled collisions
  • Explore the concept of elastic and inelastic collisions in detail
  • Learn about momentum conservation in two dimensions
  • Review examples of billiard ball collision problems for practical application
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in the dynamics of collisions in sports like billiards.

JonathanSnow
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Homework Statement



2 identical biliards balls collde after a glancing collision determine the speed of the other ball,
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Homework Equations



MaVa + MbVb = MaVa' + MbVb' ?

The Attempt at a Solution



is this just as simple as the momentum formula before and after, or am I forgetting somthing obvious, because 5cm/s in the other direction dosent make any sense
 
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also is there a different formula to use for this when its on an angle, i know momentum before has to equal momentum after as does kinetic energy, mind you its not asking for kinetic, only speed, the balls are the same size so in the momentum formula we can get rid of the mass?, and its obvious its perfectly elastic anyways.
 
If the collision isn't on a straight line you can use the same momentum equation, only now the velocity and momentum are vectors with 2 components.
 

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