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Efros

726687. Fri Jul 09, 2010 6:27 am 


Go ask Einstein, he specifically included terms that enabled the application of Newtonian mechanics to non relativistic speeds, and nonNewtonian mechanics when those speeds approached that of light. 




dr.bob

726753. Fri Jul 09, 2010 10:20 am 


There's no such thing as a "nonrelativistic" speed. Relativity applies to any speed. Einstein gave the equation of the relativistic mass of a body as:
Where v is the velocity, and m_o is the rest mass of the body.
Note the v^2/c^2 factor in there. That produces a nonzero result for any nonzero value of v. So even if an electron is moving at 0.0000001 m/s, it's still got a (albeit vanishingly small) relativistic mass and so is still heavier than if it's completely stationary. 




Efros





Posital

726802. Fri Jul 09, 2010 2:12 pm 


Eh?  the concept of nonrelativistic speed is simply something for lazy mathematicians/modellers...
(I like the idea of simply using a googlesearch as a reliable source. Great improvement over "a friend told me".) 




dr.bob

727291. Mon Jul 12, 2010 5:11 am 


Quite so, Posital. The phrase "nonrelativistic speed" simply means "speeds at which relativistic effects are so small, classical mechanics will give you a result that's close enough to reality for most calculations." It most certainly does not mean "speeds at which relativistic effects do not apply in any way, shape, or form" since the only speed for which that is true is zero. 




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