Elastic Collision: Isolated Systems & Conservative Forces

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SUMMARY

In an elastic collision, both momentum and kinetic energy are conserved, indicating that only conservative forces are present, with no friction involved. This scenario necessitates an isolated system to prevent energy loss from external forces. The discussion highlights that while real-world examples of elastic collisions are rare, they can occur in short timeframes where external influences are negligible, such as during the collision of two electrons. The impulse from external forces approaches zero as the time interval approaches zero.

PREREQUISITES
  • Understanding of elastic collisions and their properties
  • Knowledge of momentum and kinetic energy conservation laws
  • Familiarity with isolated systems in physics
  • Basic concepts of impulsive forces and their calculations
NEXT STEPS
  • Research the mathematical principles of elastic collisions in physics
  • Explore real-world applications of elastic collisions in particle physics
  • Study the concept of isolated systems and their significance in mechanics
  • Learn about the role of time intervals in impulse and force calculations
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Students of physics, educators teaching mechanics, and researchers in particle physics will benefit from this discussion on elastic collisions and their theoretical implications.

sauri
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In an elastic collision both momentum and kinetic energy are conserved which means only conservative forces are acting (therefore no friction!).
So that must mean we also have to be in an isolated system, so no energy is lost due to external forces. Can this state actually exist in reality?. Any examples?.
 
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If the collision takes place in a short enough time, outside forces can be neglected. The impulse due to an outside force is Fdt-->0 as dt-->0.
The force between the two colliders is impulsive in that Fdt is finite.
 
any examples where we might see elastic collision happening? I can not imagine any collision happening in such a small period of time
 
Two electrons colliding.
 

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