View Single Post
  #76   Report Post  
Old September 17th 08, 08:25 AM posted to rec.radio.amateur.antenna
Jeff Liebermann[_2_] Jeff Liebermann[_2_] is offline
external usenet poster
 
First recorded activity by RadioBanter: Jun 2007
Posts: 1,336
Default Equilibrium and Ham examinations

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