| Topic: |
Science > Physics |
| User: |
"John Schoenfeld" |
| Date: |
12 May 2004 10:25:58 AM |
| Object: |
Schoenfeld-Einstein Relativistic Force |
Didn't even realize that I could simplify further ;-).
SCHOENFELD-EINSTEIN RELATIVISTIC FORCE
F = p a ( y / (Bc) )
where
p = relativistic momentum
a = non-relativistic acceleration - dv/dt not d(vy)/dt
y = gamma = 1 / sqrt(1-v^2/c^2)
B = beta = v/c
c = light speed
PROOF RESUMED FROM PREVIOUS POST:
F = (m(v) + y^3 B/c m0 v)a
= (ym0 + y^3 B/c m0 v)a { since m(v) = ym0 }
= ym0v(1/v + y^2 B/c) a
= pa(1/v + y^2 B/c) { since p = y m0 v }
= pa( [ c + v y^2 B ] / vc )
= pa( [ 1 + y^2B^2 ] / v )
= pa( [ 1 + 1/(1-v^2/c^2) (v^2/c^2) ] / v)
= pa( [ 1 + v^2/(c^2-v^2) ] / v)
= pa( [ (c^2 - v^2 + v^2)/(c^2 - v^2) ] / v)
= pa( [ c^2 / (c^2 - v^2) ] / v)
= pa( c^2 / [v(c^2 - v^2)] )
= pa( c / [B(c^2 - v^2)] )
= pa( c/B y/c^2)
= pa( y / [B c] )
.
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| User: "Uncle Al" |
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| Title: Re: Schoenfeld-Einstein Relativistic Force |
12 May 2004 11:32:14 AM |
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John Schoenfeld wrote:
Didn't even realize that I could simplify further ;-).
SCHOENFELD-EINSTEIN RELATIVISTIC FORCE
[snip]
http://www.freefarts.com/farts.html
Move cursor over blinkers to hear Schoenfeld's lecture.
--
Uncle Al
http://www.mazepath.com/uncleal/qz.pdf
http://www.mazepath.com/uncleal/eotvos.htm
(Do something naughty to physics)
.
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| User: "John Schoenfeld" |
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| Title: Re: Schoenfeld-Einstein Relativistic Force |
13 May 2004 03:06:37 AM |
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Uncle Al <UncleAl0@hate.spam.net> wrote in message news:<40A2518E.7AFFB587@hate.spam.net>...
John Schoenfeld wrote:
Didn't even realize that I could simplify further ;-).
SCHOENFELD-EINSTEIN RELATIVISTIC FORCE
[snip]
The math was all good, that's why you can't fault it, that's why you snipped it.
http://www.freefarts.com/farts.html
Move cursor over blinkers to hear Schoenfeld's lecture.
Is that how Republicans get their kicks?
.
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