Conservation of Momentum for Inelastic Collisions

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SUMMARY

The discussion clarifies the principle of conservation of momentum in inelastic collisions, emphasizing that while kinetic energy is lost, momentum remains conserved. Specifically, the total momentum of an isolated system is constant, regardless of internal interactions. In inelastic collisions, some kinetic energy is transformed into other forms of energy, such as potential energy, rather than being conserved. This distinction between momentum and kinetic energy is crucial for understanding the mechanics of inelastic collisions.

PREREQUISITES
  • Understanding of basic physics concepts, particularly momentum and energy.
  • Familiarity with the principles of inelastic collisions.
  • Knowledge of kinetic and potential energy transformations.
  • Basic grasp of isolated systems in physics.
NEXT STEPS
  • Study the mathematical formulation of momentum conservation in inelastic collisions.
  • Explore examples of inelastic collisions in real-world scenarios.
  • Learn about energy transformations during collisions, focusing on kinetic and potential energy.
  • Investigate the differences between elastic and inelastic collisions in detail.
USEFUL FOR

Students of physics, educators explaining collision mechanics, and anyone interested in the principles of momentum and energy conservation in physical systems.

david888lee
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Okay here goes...

I'm having a hard time trying to logically understand how momentum is conserved for inelastic collisions, even though energy is lost. Since energy is lost (in the form of kinetic energy) how can the initial momentum be the same as final momentum. I know I may be confusing conservation of momentum with conservation of mechanical energy but can someone explain this in a simple example to help me visualize it? Thanks in advance!

David
 
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david888lee said:
Okay here goes...

I'm having a hard time trying to logically understand how momentum is conserved for inelastic collisions, even though energy is lost. Since energy is lost (in the form of kinetic energy) how can the initial momentum be the same as final momentum. I know I may be confusing conservation of momentum with conservation of mechanical energy but can someone explain this in a simple example to help me visualize it? Thanks in advance!

David

Yes, in fact, it is easy. The conservation of momentum is formulated as follows: sum of momenta of all interacting particles conserves for an isolated system whatever internal interaction is.

In inelastic collision some part of initial kinetic energy is spent on rearranging particles within bodies so the total momentum conserves while the kinetic energy does not. Only the sum of kinetic and (new) potential or better other form of energy is conserved. You see, the problem is in fact that kinetic energy is not the sole form of energy in nature, it should not be conserved in general case.
 

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