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#1
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On Sep 5, 5:02 pm, Jim Kelley wrote:
.... I'd like to offer m = E/c^2 as a guess. 73, ac6xg A link is worth a thousand words (perhaps 10k-100k of Richard's...): http://www.newton.dep.anl.gov/askasc...0/phy00332.htm (in particular the first paragraph of the second response). |
#2
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On Thu, 06 Sep 2007 12:47:46 -0700, K7ITM wrote:
On Sep 5, 5:02 pm, Jim Kelley wrote: ... I'd like to offer m = E/c^2 as a guess. 73, ac6xg A link is worth a thousand words (perhaps 10k-100k of Richard's...): http://www.newton.dep.anl.gov/askasc...0/phy00332.htm (in particular the first paragraph of the second response). Hi Tom, Your link is over valued (there is no second response), but it maintains the standard of excellence here in the tradition of 10k-100k more words than quantifiables - and someone else doing the work. Care to walk us through your proffered math? Well, I doubt it. Others may be interested in the curious form of argument offered to a 15 year old however. "For a particle with no mass, the relation reduces to E=pc." The long and short of it is that there is no discussion of mass for a photon (it is simply defined not to exist) and instead there is a shuffle of math that youngster must imagine this bozo is pulling the wool over his eyes through substituting p for Planck's constant h, and c for Planck's energy formula variable v. This wool pulling is another favorite past time here too. Of course, there may be other meanings behind "E=pc." but in the model of thorough work, the description of terms is sadly poor. The typical legacy of offering links. It has all the appeal of a Physicist's joke: "How many milliseconds does it take to do a 5 minute car wash?" 73's Richard Clark, KB7QHC |
#3
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On Sep 6, 2:53 pm, Richard Clark wrote:
....(there is no second response)... Pity you have so much trouble reading... |
#4
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Richard Clark wrote:
On Thu, 06 Sep 2007 12:47:46 -0700, K7ITM wrote: On Sep 5, 5:02 pm, Jim Kelley wrote: ... I'd like to offer m = E/c^2 as a guess. 73, ac6xg "E=pc." Yes, and p=mv, so when v=c as is true for photons, and we substitute mc for p in the equation above and then solve for m (the mass of a photon was the original question), we're back at the equation offered previously. But we usually relate more directly to the frequency (or wavelength) of the photon rather than its energy or momentum, so in such a case E=h*nu would provide a more direct route to its mass equivalent. ac6xg |
#5
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On Thu, 06 Sep 2007 16:07:09 -0700, Jim Kelley
wrote: Richard Clark wrote: On Thu, 06 Sep 2007 12:47:46 -0700, K7ITM wrote: On Sep 5, 5:02 pm, Jim Kelley wrote: ... I'd like to offer m = E/c^2 as a guess. 73, ac6xg "E=pc." Yes, and p=mv, Hi Jim, Tom opines about my reading, but it is about the writing from the good doctor that we find (in regard to your snippet above): "we find that the momentum relation p=mv is only an approximation. It is only correct when speed (v) is much smaller than the speed of light (c). which distinctly contradicts your tie-in: so when v=c as is true for photons, and we substitute mc for p in the equation above and then solve for m (the mass of a photon was the original question), we're back at the equation offered previously. The circularity of Dr. Ken Mellendorf's foggy writing might suggest it, if it weren't otherwise nipped in the bud by the bald statement. "For a particle with no mass, the relation reduces to E=pc. This works for a photon." Hence the proximity of this to p=mv is textual, not factual. What is the term p? Could it be (p)hoton? I've speculated about Planck's constant (which you comment upon, below), but I find it very sloppy writing for Dr. Mellendorf to wander into his own naming conventions. Migrating through E = mc˛ something all can agree is a fair basis to begin with, we then have expressly for a (p)hoton: E = pc Substituting for the previous E pc = mc˛ divide both sides by c p = mc which to me is new territory. What is mass times the speed of light for a particle that has no mass? Perhaps Tom's special reading skills can rescue this p term from the oblivion of E = 0 for a (p)hoton. But we usually relate more directly to the frequency (or wavelength) of the photon rather than its energy or momentum, so in such a case E=h*nu would provide a more direct route to its mass equivalent. Yes, and it seems your daughter trumped me on Planck once before. ;-) It is exceedingly obvious that the link offered amounts to considerable wool gathering. Or maybe its the late hour.... 73's Richard Clark, KB7QHC |
#6
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Richard Clark wrote:
What is mass times the speed of light for a particle that has no mass? A nonsense question since "no mass" for a photon is associated with it being *at rest*, i.e. *not moving at the speed of light*. Perhaps Tom's special reading skills can rescue this p term from the oblivion of E = 0 for a (p)hoton. For a photon possessing zero rest mass, traveling at the speed of light yields a finite measurable mass. -- 73, Cecil http://www.w5dxp.com |
#7
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On Sep 7, 12:51 am, Richard Clark wrote:
The circularity of Dr. Ken Mellendorf's foggy writing might suggest it, if it weren't otherwise nipped in the bud by the bald statement. On the other hand perhaps Dr. Mellendorf has some expertise in the subject. What is the term p? Could it be (p)hoton? I've speculated about Planck's constant (which you comment upon, below), but I find it very sloppy writing for Dr. Mellendorf to wander into his own naming conventions. I think you should make those comments directly to him so that he an opportunity to respond. Shall I forward them for you? :-) What is mass times the speed of light for a particle that has no mass? Seems like something is wrong in that sentence, doesn't it. Perhaps Tom's special reading skills can rescue this p term from the oblivion of E = 0 for a (p)hoton. It's also possible that since E=0 is wrong, the assumption that p=0 might also be wrong. If not, then you'll need to explain radiation pressure in an all new way. Yes, and it seems your daughter trumped me on Planck once before. ;-) She's better at math than I ever was. 73, ac6xg |
#8
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On Sep 7, 9:08 am, Jim Kelley wrote:
On Sep 7, 12:51 am, Richard Clark wrote: The circularity of Dr. Ken Mellendorf's foggy writing might suggest it, if it weren't otherwise nipped in the bud by the bald statement. On the other hand perhaps Dr. Mellendorf has some expertise in the subject. What is the term p? Could it be (p)hoton? I've speculated about Planck's constant (which you comment upon, below), but I find it very sloppy writing for Dr. Mellendorf to wander into his own naming conventions. I think you should make those comments directly to him so that he an opportunity to respond. Shall I forward them for you? :-) What is mass times the speed of light for a particle that has no mass? Seems like something is wrong in that sentence, doesn't it. Perhaps Tom's special reading skills can rescue this p term from the oblivion of E = 0 for a (p)hoton. It's also possible that since E=0 is wrong, the assumption that p=0 might also be wrong. If not, then you'll need to explain radiation pressure in an all new way. Yes, and it seems your daughter trumped me on Planck once before. ;-) She's better at math than I ever was. 73, ac6xg For the lurkers who may care to sift a tiny bit of wheat from the chaff, see common physics symbol usage at http://www.alcyone.com/max/reference...s/symbols.html, http://selland.boisestate.edu/jbrenn...cs_symbols.htm, http://www.hazelwood.k12.mo.us/~gric...b/formulas.htm and others. If you're reading physics writings, it helps to have an understanding of the language of the physicist. See concise explanations about photon momentum and relativistic momentum, energy and mass in general at http://hyperphysics.phy-astr.gsu.edu...iv/relmom.html, http://physics.mtsu.edu/~phys2020/Le..._momentum.html and others. |
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