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#1
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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). 73's Richard Clark, KB7QHC -- # Jeff Liebermann 150 Felker St #D Santa Cruz CA 95060 # 831-336-2558 # http://802.11junk.com # http://www.LearnByDestroying.com AE6KS |
#2
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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 |
#3
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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) |
#5
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Jeff Liebermann wrote:
Is there a standard notation or style for arithmetic and exponentiation for usenet posting? I've been switching around using different styles almost at random over the years. For exponents (HTML superscripts) some browsers convert c^2 to csup2/sup HTML. That's the convention I use for exponents. -- 73, Cecil http://www.w5dxp.com |
#6
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Cecil Moore wrote:
Jeff Liebermann wrote: Is there a standard notation or style for arithmetic and exponentiation for usenet posting? I've been switching around using different styles almost at random over the years. For exponents (HTML superscripts) some browsers convert c^2 to csup2/sup HTML. That's the convention I use for exponents. Why don't you two get a room? This bull**** has nothing to do with ham radio. However, maybe if we ionized your hot air we could bounce some 70 cm off the cloud. |
#7
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Dave wrote:
This bull**** has nothing to do with ham radio. Exponents used in such terms as P = I^2R have nothing to do with ham radio? That's a really sad statement about the present technical level of amateur radio. -- 73, Cecil http://www.w5dxp.com |
#8
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On Thu, 18 Sep 2008 12:49:04 +0000, Dave wrote:
Cecil Moore wrote: Jeff Liebermann wrote: Is there a standard notation or style for arithmetic and exponentiation for usenet posting? I've been switching around using different styles almost at random over the years. For exponents (HTML superscripts) some browsers convert c^2 to csup2/sup HTML. That's the convention I use for exponents. Why don't you two get a room? This bull**** has nothing to do with ham radio. However, maybe if we ionized your hot air we could bounce some 70 cm off the cloud. I've always suspected that some hams hated math and other technical subjects. While it is conceivable that you could build a ham antenna without using math, I don't think the results would be optimal. There are also those that advocate converting ham radio from a technical hobby, to a sport, where the technical aspects are diminished to the point of extinction, and the operational exercises of contesting, DX, CW, and rag chewing are predominant. No math required. Perhaps the FCC could balkanize the ham bands into technical and non-technical sub-bands, where the clueless and those that still design, calculate, and build their own equipment can be seperated for their own safety. -- Jeff Liebermann 150 Felker St #D http://www.LearnByDestroying.com Santa Cruz CA 95060 http://802.11junk.com Skype: JeffLiebermann AE6KS 831-336-2558 |
#9
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Cecil Moore wrote:
For exponents (HTML superscripts) some browsers convert c^2 to csup2/sup HTML. :-) That was c ^ 2 without the spaces. :-) -- 73, Cecil http://www.w5dxp.com |
#10
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Jeff Liebermann wrote:
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? That doesn't work for photons which are particles with zero rest mass. -- 73, Cecil http://www.w5dxp.com |
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