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On Sep 17, 3:25*am, Jeff Liebermann wrote:
On Wed, 17 Sep 2008 00:13:47 -0700, Jeff Liebermann wrote: On Tue, 16 Sep 2008 17:58:35 -0700, Richard Clark wrote: No Newtonians in this crowd. *Perhaps it was the relativistic term "speed of light" that confused this group so much. *Let's restate it in units that Newton could have appreciated. We know that we can accelerate an electron to *167,770 miles/s - it happens every femtosecond in one of any 100 billion crt displays still glowing in the world. *Some of us know its mass at this speed. *A question for the Newtonian philosopherz: * * * *"What is the mass of a photon traveling at 167,770 miles/s?" Google to the rescue: http://asistm.duit.uwa.edu.au/synchrotron/downloads/pdfs/chapter11_7.pdf mr / mo = 1 / (1 - (v^2/c^2))^0.5 whe *mr = relativistic mass *mo = mass at rest *v *= velocity of particle *c *= speed-o-light = 186,000 miles/sec For v = 167,700 miles/sec *mr/mo = 1/ (1 - (167,700^2 / 186,000^2))^0.5 *mr/mo = 1/ 1 - 0.813^0.5 = 1/ (1 - 0.902) = 1/ 0.0984 = 10.2 So, the mass of the particle at 90% the speed-o-light is 10 times that of the particle at rest. *It doesn't matter what particle. *Do I get a gold star? (Somebody please check my arithmetic as I forgot to eat dinner, it's after midnight, my brain is mush, and my calculator battery is fading fast). All wrong. *No gold star for that mess. *I just hate it when I click "send" and only then discover my arithmetic error. *Rev 1.0 follows: mr / mo = 1 / (1 - (v^2/c^2))^0.5 whe * mr = relativistic mass * mo = mass at rest * v *= velocity of particle * c *= speed-o-light = 186,000 miles/sec For v = 167,700 miles/sec * mr/mo = 1/ (1 - (167,700^2 / 186,000^2))^0.5 * mr/mo = 1/ (1 - 0.813)^0.5 = 1/ (0.187)^0.5 = 1/ 0.432 = 2.31 So, the mass of the particle at 90% the speed-o-light is 2.3 times that of the particle at rest. *It doesn't matter what particle. *Maybe a silver star? -- # Jeff Liebermann 150 Felker St #D Santa Cruz CA 95060 # 831-336-2558 * * * * * #http://802.11junk.com* * * * * * * #http://www.LearnByDestroying.com* * * * * * * AE6KS- Hide quoted text - - Show quoted text - Not correct. It's not quite as simple as e = m*c**2. You must use the Lorentz transformation. Using the same values you have assiged to c and v, the correct equation would be: mr = mo/SQRT(1 - v**2/c**2) As v = c, mr must = infinity (therefore no mass can reach c) |
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