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I ask for the reference for the following derivation of ##E\propto v^2## or a similar one.
https://www.physicsforums.com/threads/thefinalexplanationtowhykineticenergyisproportionaltovelocitysquared.78484/#post609992
Twice I found the following derivation of ##E\propto v^2## in a little distinct forms.
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:
as 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.
The final explanation to why kinetic energy is proportional to velocity squared
I am one of those who cannot really go into advanced calculations and leave the simple questions behind. I have to understand physics at a basic level. For that reason I am glad some members at this forum don’t hesitate to ask very fundamental questions. For years I have just taken everything...
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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:
as 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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