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|    sci.physics.relativity    |    The theory of relativity    |    225,861 messages    |
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|    Message 225,280 of 225,861    |
|    Thomas 'PointedEars' Lahn to Paul.B.Andersen    |
|    Re: Mass and Energy    |
|    06 Jan 26 03:04:28    |
      XPost: sci.physics       From: PointedEars@web.de              Paul.B.Andersen wrote:       > Note that m = 3.089167695E-28 kg is the _lost_ mass,       > it doesn't exist any more.       > So where has it gone?       > It is converted to E = mc² ≈ 2.776404839E-11 J of _kinetic energy_.       > Kinetic energy is not mass. Thus "convert".              /Non sequitur./              >> Second, "E=mc^2" only applies to systems at rest. In general,       >> it's "E^2=(mc^2)^2+(pc)^2", where "p" is the system's momentum.       >> (That basically says mass is the magnitude of the four-momentum.)       >       > E = mc² is the energy content, or the energy equivalent of       > the mass m.              The first wording is simply wrong. E (better: E₀) is the *rest* energy of       _an object_ whose mass is m. One can also call that the energy content _of       that object_ at relative rest (as Einstein did, but this wording is       obsolete), but NOT "of the mass". Mass is a quantity, not a object; a       quantity has no content.              > Mass is invariant, so this equation is valid for all speeds of the mass.              Again, mass is a quantity, NOT an object. It does not make sense to say       "speeds of the mass". That makes as much sense as e.g. "mass of the charge".              > However, the _total_ energy of a moving mass is:       > E = mγc² = mc² + (γ-1)mc²       > The first term mc² is the invariant energy content of the mass m,              No, the first term is the rest energy equivalent to the mass m.              Mass does not have an energy content, _objects_ have.              > the second term is the kinetic energy of the mass m.              No, it is the kinetic energy of an _object_ with mass m and relative speed       v, hidden in γ = γ(v).              > Kinetic energy is not mass!              And mass is NOT energy or "has energy". You would be well to realize that.              >> Third, mass is conserved in nuclear fission. This point is often       >> explained incorrectly, even in otherwise solid textbooks like Grif-       >> fiths.       >       > Could it be that you are wrong and the textbook is right? :-D              He is wrong, obviously. But you are also wrong in multiple respects:              > Before the fission the mass of the U-235 nucleus + 1 neutron       > is: m₁ = 3.919748214E-25 kg       >       > After the fission the mass of the Ba-141 and Kr-92 nuclei + 3 neutrons       > is: m₂ = 3.916659047E-25 kg.       >       > So the mass isn't conserved,              Correct.              > m = m₁-m₂= 3.089167695E-28 kg has disappeared because it is converted to       > kinetic energy which is not mass.              Again: NOT the mass is partially converted to kinetic energy, but the rest       energy E_0 = m c^2 *equivalent to* the mass m.              --       PointedEars              Twitter: @PointedEars2       Please do not cc me. / Bitte keine Kopien per E-Mail.              --- SoupGate-DOS v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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