A Novel General Theoretical Derivation of Newton-Experimental-Formula for Collision of Particles
Abstract
An experimental formula, sometimes named as Newton-collision-formula, (v1-v2) = - e.(u1-u2) relating relative-velocities before & after impact of two bodies under linear-collision, is commonly used successfully for study of collision-dynamics. Although it seems possible as shown in text-books [1,2] to derive this relation, assuming (defining) e as ratio of impulses during restitution & deformation; but as yet, neither a good theoretical-basis nor a general-derivation of this formula based on obvious choice of energy-consideration, has been reported. In this brief-paper a relativistic-theoretical-basis is adopted and a general formula-derivation is given. It is shown, interestingly, that proof of the Newton-collision-formula is hidden in Einstein-special-relativity.
Keywords
Cite
@article{arxiv.physics/0506111,
title = {A Novel General Theoretical Derivation of Newton-Experimental-Formula for Collision of Particles},
author = {R. C. Gupta and Ruchi Gupta and Sanjay Gupta},
journal= {arXiv preprint arXiv:physics/0506111},
year = {2007}
}
Comments
Letter-to-editor type 2-page paper linking classical-physics to relativistic-physics