Rest energy in classical mechanics

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The discussion clarifies that "rest energy" is not a concept in classical mechanics, as it is primarily associated with relativity. In classical mechanics, a system at rest can have energy, such as heat energy, but this is not referred to as "rest energy." The term "unlimited" energy was debated, with participants noting that while classical mechanics does not impose limits on energy, it lacks the framework to define rest energy as in relativity. The conversation emphasizes the distinction between classical mechanics and special relativity, particularly regarding energy definitions and limits. Ultimately, there is no equivalent of "rest energy" in classical mechanics, and energy concepts differ significantly between the two frameworks.
  • #31
sweet springs said:
You will find the relation E=mc^2.

Yes, but what does that contribute to the topic? In relativity we know that E is the total energy inside the container. How do you prove that in classical mechanics?
 
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  • #32
DrStupid said:
In relativity we know that E is the total energy inside the container. How do you prove that in classical mechanics?
We now know E=mc^2 as a fact that classical mechanics or saying more accurately classical non relativistic mechanics does not anticipate, need and prove. I prefer the fact to a theory. Don't put new wine into old bottles.
 
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  • #33
sweet springs said:
We now know E=mc^2 as a fact that classical mechanics or saying more accurately classical non relativistic mechanics does not anticipate, need and prove.

I already wrote above that internal energy cannot be determinied in classical mechanics. That includes that classical mechanics doesn’t anticipate, need and prove E=mc². So I still do not see a new argument. Do I miss something?
 
  • #34
Now you know that non relativistic mechanics failed. I do not think you miss anything.:smile:
 
  • #35
sweet springs said:
Now you know that non relativistic mechanics failed.

I was well aware of it from the beginning (I even mentioned it in #18). You are quite off-topic if that was all you are trying to tell me.
 

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