dorsal/arxiv
View SchemaA Novel General Theoretical Derivation of Newton-Experimental-Formula for Collision of Particles
| Authors | R. C. Gupta, Ruchi Gupta, Sanjay Gupta |
|---|---|
| Categories | |
| ArXiv ID | physics/0506111 |
| URL | https://arxiv.org/abs/physics/0506111 |
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.
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"abstract": "An experimental formula, sometimes named as Newton-collision-formula, (v1-v2)\n= - e.(u1-u2) relating relative-velocities before \u0026 after impact of two bodies\nunder linear-collision, is commonly used successfully for study of\ncollision-dynamics. Although it seems possible as shown in text-books [1,2] to\nderive this relation, assuming (defining) e as ratio of impulses during\nrestitution \u0026 deformation; but as yet, neither a good theoretical-basis nor a\ngeneral-derivation of this formula based on obvious choice of\nenergy-consideration, has been reported. In this brief-paper a\nrelativistic-theoretical-basis is adopted and a general formula-derivation is\ngiven. It is shown, interestingly, that proof of the Newton-collision-formula\nis hidden in Einstein-special-relativity.",
"arxiv_id": "physics/0506111",
"authors": [
"R. C. Gupta",
"Ruchi Gupta",
"Sanjay Gupta"
],
"categories": [
"physics.gen-ph"
],
"title": "A Novel General Theoretical Derivation of Newton-Experimental-Formula for Collision of Particles",
"url": "https://arxiv.org/abs/physics/0506111"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "61166411-7183-4106-bbb5-f096d5f1618a",
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"variant": "snapshot-2026-03-01",
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