Proving Total Kinetic Energy of Particles

Thread starter ougoah
Start date Feb 20, 2007
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Energy Kinetic Kinetic energy Particles

AI Thread Summary

To prove that the total kinetic energy of a system of particles equals the kinetic energy of the center of mass motion plus the internal energy, one must analyze the motion from the center of mass reference frame. The total kinetic energy can be expressed as the sum of the kinetic energy due to the center of mass and the kinetic energy of the particles relative to the center of mass. This involves applying the principles of conservation of momentum and the definition of the center of mass. The internal energy represents the motion of particles around the center of mass, which can be derived from their individual velocities. This proof is essential for understanding the dynamics of particle systems in physics.

Feb 20, 2007

ougoah

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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Feb 20, 2007

ougoah

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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