- #1

exponent137

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- TL;DR Summary
- I ask for the reference for the following derivation of ##E\propto v^2## or a similar one.

https://www.physicsforums.com/threads/the-final-explanation-to-why-kinetic-energy-is-proportional-to-velocity-squared.78484/#post-609992

Twice I found the following derivation of ##E\propto v^2## in a little distinct forms.

https://www.physicsforums.com/threa...tional-to-velocity-squared.78484/#post-609992

The derivation is in post #9, if it is not shown properly.

This means, this derivation is without ##E=Fdx## formula, without calculus of variations, without special relativity, etc.

I am interested, what is a reference for this or any other similar derivation. What I heard additionally that this is not in the book

"Landau and Lifgarbagez Classical Mechanics ", that this was written by a russian author, somewhere after 1950, translated in English, in a red cover.

The most probably, this is neither this book of Arnold:

https://loshijosdelagrange.files.wo...tical-methods-of-classical-mechanics-1989.pdfas I searched in it.

Similar but not so specific questions were given twice already. But they were not answered.

NOTE:

Can I ask that you leave this question unanswered if you do not know a precise answer. In such a case it will stay in "UNANSWERED THREADS", this means that someone will notice this thread some day and will answer to this. In the opposite case, this thread will be hidden somewhere in PF, and no one will answer to it.

https://www.physicsforums.com/threa...tional-to-velocity-squared.78484/#post-609992

The derivation is in post #9, if it is not shown properly.

This means, this derivation is without ##E=Fdx## formula, without calculus of variations, without special relativity, etc.

I am interested, what is a reference for this or any other similar derivation. What I heard additionally that this is not in the book

"Landau and Lifgarbagez Classical Mechanics ", that this was written by a russian author, somewhere after 1950, translated in English, in a red cover.

The most probably, this is neither this book of Arnold:

https://loshijosdelagrange.files.wo...tical-methods-of-classical-mechanics-1989.pdfas I searched in it.

Similar but not so specific questions were given twice already. But they were not answered.

NOTE:

Can I ask that you leave this question unanswered if you do not know a precise answer. In such a case it will stay in "UNANSWERED THREADS", this means that someone will notice this thread some day and will answer to this. In the opposite case, this thread will be hidden somewhere in PF, and no one will answer to it.

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