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| What is your view of the nature of energy and work? |
| Energy and work are the same thing |
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15% |
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| Energy and work are equal but distinct |
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31% |
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| Other (specify in post) |
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52% |
[ 10 ] |
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| Total Votes : : 19 |
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joppa
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Michael
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ovyyus
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Jonathan
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Posted: Tue Jun 22, 2004 11:52 pm Post subject: re: The Nature of Energy and Work |
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>You need to define what this stuff energy is to prove otherwise.
That is not the only thing, you could also prove that the only other alternatives are wrong.
I think we can all agree that energy is or isn't work, that there is no half way.
So one could prove what energy is (I don't know) or prove that energy can't be work, and that would resolve it. I think I've done the latter, but to make it very clear, one can put it in a vaguely mathematical form:
E#c*W
W#d*E
where E is energy, W is work, d is dissipation, # is an attempt at writing "triple bar", and * is either "to do" or "of". These are the classic definitions found in textbooks. My original point in the other thread was that because of the equality of W and d*E, they are interchangeable. This means that in the definition of E, we should be able to substitute d*E for W, which gives E#c*d*E. In English it says that energy is the capacity to dissipate itself. Not only is this clearly a self-referential "definition", but it is also clearly untrue. It is like saying that a dog is the capacity to bark. It is true that dogs have that capacity, but they are more than just a capacity.
We got onto the secondary point of what energy is with respect to work because Michael said that energy and work are the same things. If this is true, then we have a new rule:
E#W
But using the same interchangeability as before, this also says c*W#d*E (since E#c*W and W#d*E). And doing it once more gives c*d*E#d*E (here W#d*E is used again). But here now we have nonsense, the capacity for action cannot be the same thing as the action itself (the action being the dissipation of energy), so our starting assumption that E#W must be false.
EDIT
Ovyyus, though I agree, I have to say that your analogy is a little off. The mouse trap with stored energy will weigh more, not that it'd be detectable. You could also (carefully!) send sound through each spring (one under tension and one not) and note the difference in the speed of the sound (that would be hard too). But I completely agree with the overall idea, that potential energy is timeless as long as it doesn't change. The only things that require time are things that have change as a part of their definition, like velocity or kinetic energy.
EDIT2
Technically, I proved that E#W is inconsistent with E#c*W and W#d*E, and the later two are circular to each other. But I'm quite confident that the first two are false. (I do believe E=W though).
_________________ Disclaimer: I reserve the right not to know what I'm talking about and not to mention this possibility in my posts. This disclaimer also applies to sentences I claim are quotes from anybody, including me.
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ovyyus

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Jonathan

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ovyyus

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Jonathan

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Michael

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Posted: Wed Jun 23, 2004 5:19 pm Post subject: re: The Nature of Energy and Work |
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> How can you tell the difference between two exact same mousetraps where one is 'set' (spring under tension) and the other is not (spring or wire with no tension)? Both mousetrap springs weight the same, they both have the same temperature, they both look the same, etc. Yet one has the 'capacity to do work' while the other doesn't. How could you tell the difference between the two without resorting to a work (time) related measurement?
You can't that's my point Bill. The capacity for work, or potential for work, entails it can work (eventually). To due so means a movement against resistence over time. If you take time out of it, or space, the potential to do work is also gone. It is no longer work.
Jonathan, you say you've proved it, but you've proved nothing. I still don't know why you are arguing something that is already defined and well known by physicists. Let me try this again.
The definition of energy is the capacity to do work. This is because (as I mentioned before) energy is often shorthanded for potential energy, and kinetic energy. Potential, as in the potential for energy, or the potential for work. Kinetic as in movement, or work itself. If you take kinetic away from the definition completely, potential fallls apart because there in fact could never BE a potential. There is a slight difference to all of this though, I'll admit that. The definition of work would be force, applied against resistence, over time. Energy, which is a word definition of a measurement of either the potential for work, or work itself, is done by knowing the amount of resistence, and how much resistence will be moved, changed, etc. over what period of time. That will let you know how much force is present, doing the work. You could also know in advance how much force is there, and then be able to calculate how much resistence can be set upon, over what period of time. So you see how closely related it all is. This is a lot different than saying energy is some unknown stuff. Which is what you are saying. It's not.
Regards,
Michael
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Michael

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Jonathan

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Jonathan

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Grimer
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erick
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erick
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