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E=mc² is wrong?

direpickle says...

Since it's never actually mentioned in the video: You can write a more correct equation (though E^2 = m^2*c^4 + p^2*c^2 is still the most correct) as E = mc^2 = y*m0*c^2 where m is the 'relativistic mass' m0 * y, with m0 the mass of the object at rest and y = 1/sqrt(1-v^2/c^2) as mentioned above. This doesn't allow for an easy inclusion of light and such, though, so the E^2 equation is nicer.

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