Proving Total Kinetic Energy of Particles

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SUMMARY

The total kinetic energy of a system of particles can be proven to equal the kinetic energy associated with the center of mass motion plus the internal energy of the particles. This internal energy is defined as the energy observed from the center of mass reference frame. The proof involves applying the principles of classical mechanics, specifically the conservation of momentum and the definition of kinetic energy. Understanding this relationship is crucial for analyzing systems in physics.

PREREQUISITES
  • Classical mechanics principles
  • Kinetic energy calculations
  • Center of mass concepts
  • Reference frames in physics
NEXT STEPS
  • Study the derivation of kinetic energy in classical mechanics
  • Explore the concept of center of mass in multi-particle systems
  • Learn about conservation of momentum in closed systems
  • Investigate the relationship between internal energy and kinetic energy
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Physics students, educators, and researchers interested in classical mechanics and energy conservation principles.

ougoah
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For a system of particles, how would you prove that the total kinetic energy of the particles is equal to the kinetic energy associated with the center of mass motion plus the "internal energy"? (Where, I think, internal energy is the energy of the particles seen from the center of mass reference frame.)

Thanks
 
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I don't know why this was moved, since it is not a homework question; my textbook is missing this proof.
 

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