Unformatted text preview: U (0) = 0 . We can now use our relation between potential and work to find the potential of the system a distance x from the origin: U ( x )  0 =  ( kx ) dx Implying that U ( x ) = kx 2 This equation is true for all x. A calculation of the same form can be completed for any conservative system, and we thus have a universal method for calculating potential energy. Though Newtonian mechanics provide an axiomatic basis for the study of mechanics, our concept of energy is more universal: energy applies not only to mechanics, but to electricity, waves, astrophysics, and even quantum mechanics. Energy pops up again and again in physics, and the conservation of energy remains one of the fundamental ideas of physics...
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 Fall '10
 DavidJudd
 Physics, Energy, Force, Potential Energy, General Relativity

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