Predicting Momentum Change in Elastic Collisions

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SUMMARY

This discussion focuses on predicting momentum changes in perfectly elastic collisions between two particles, referred to as particles a and b. Given their initial momentum, mass, and velocity, it is established that while direct observation of post-collision velocities is not possible due to the two-variable nature of the problem, approximations can be made under certain conditions. The conversation emphasizes the significance of the center of mass (c.m.) coordinate system, where the total momentum remains constant, and highlights that energy loss is not a factor in elastic collisions.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with elastic collision mechanics
  • Knowledge of center of mass coordinate systems
  • Basic concepts of scattering angles in physics
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  • Study the principles of momentum conservation in elastic collisions
  • Explore the mathematical framework of center of mass calculations
  • Investigate the effects of scattering angles on post-collision velocities
  • Learn about energy conservation in elastic versus inelastic collisions
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This discussion is beneficial for physics students, researchers in mechanics, and anyone interested in the dynamics of particle collisions and momentum analysis.

kidsasd987
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If we know the initial momentum of particles a and b (mass a and b, initial velocity of a and b),
is it possible knowing the momentum after the collision without observing the velocity of two particles?
(well there is two variables therefore it seems impossible but we know that generally larger mass does not change its velocity much.)We assume the collision is perfectly elastic. Thanks.
 
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hmm I think it is possible to 'approximate' the velocity after collision. if we assume some conditions such as contact time during the collision.
 
In the center of mass coordinate system, the particle momenta add up to 0. The main question is whether there is any energy loss.

In the case of elastic collision, in the c.m. coordinates, each particle will have the same momentum before and after. In lab coordinates, it will depend on the angle of scattering.
 
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