Is that momemtum? And, just to clarify, that integral covers the relativistic and non-relativistic cases?
Second, and much more important: I feel this article is not yet terribly useful for the non-physicists in the audience. Does anyone have any ideas about how to answer questions like
As far as I've been able to gather, the first question is a pretty philosophical one, along the lines of "What is a force?", and has no commonly accepted answer. Nonetheless, attributing energy to various situations enhances and simplifies our theories, so the concept is accepted on pragmatic grounds.
Thus we arrive at the second question. From my limited perspective, it seems like the concept of energy is chiefly useful because it allows us to predict things across problem domains. For example, applying the idea of energy, we can predict how fast a particular resting body would be made to move if a particular amount of heat were completely transformed into motion in that body. Similarly, it allows us to predict how much heat might result from breaking particular chemical bonds.
Without the unifying measure of energy, these comparisons and conversions would be much harder. I don't suppose it would be accurate to say it would be impossible, though, would it? If there were no equations involving energy, would there still be some way to say how much heat is equivalent to how much motion of a particular body?
Any comments on the accuracy of this explanation? Any references to articles that might explain this more coherently?
A more in-depth historical analysis than is available through the "What does energy really mean?" link might be interesting as well.
-- Ryguasu
I've revised the introduction again, mainly because I was uneasy about the connection between work and energy. After reading the Feynman reference, I feel that the previous summary
is either incorrect or unhelpful. (A little of each?) There is obviously a connection between work and energy, but I don't think it's quite that simple. I've tried to give an alternative explanation in the current revision.
I'm not sure that merging "energy" and "work" was ultimately productive.
Also, this definition was in the article:
I've modified it in the current revision to try to make the text flow better. As an aside, I think it is unhelpful to have an article that takes upon itself to explain what work is about explain only "one definition of work", instead of having a more general discussion.
I must admit, I'm not the most qualified to edit articles about physics. Nonetheless, the current state of the article is such that it really isn't very useful for the average Joe. I'm hoping that making a few changes might nudge it in the right direction. --Ryguasu 01:27 Nov 21, 2002 (UTC)
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