--- On Sat, 9/13/08, stephen <[EMAIL PROTECTED]> wrote:
> From: stephen <[EMAIL PROTECTED]>
> Subject: [epistemology 9521] Re: God's Particle
> To: "Epistemology" <[email protected]>
> Date: Saturday, September 13, 2008, 11:26 AM
> could anyone teach me my doubt:
>
> in LHC, the particles in clockwise will speed up to 99% of
> light
> speed, and anticlockwise particles also will be speed up to
> 99% of
> light speed, now:
>
> a. what will be their Relative speed when impact?
======================
G:
Let o be an observer in CERN,
c, a the clockwise and anticlockwise protons
Vac - speed of c seen from a
Vao - speed of o seen from a = 0.99C
Voc - speed of c seen from o = 0.99C
Then Vac = cumul(Vao,Voc)
where "cumul" is the Lorentz transformation based speed
cumulation function
Vac=(Vao + Voc)/(1+VaoVoc/C^2)
Vac=C(0.99+0.99)/(1+0.99^2*C^2/C^2)
Vac=1.98C/(1+0.99^2)
Vac=C*1.98/1+0.9801) = C*1.98/1.9801
Vac=0.999949C
======================
> b. in such high speed, the Time will become very slow? If
> so, how long
> will they taken to impact?
>
====================
G:
One a's revolution of the colider will take 0.4 ns and o's
clock will show it as such. Indeed o's clock is not
affected by the movement of a.
o would find a's time dilated and a's clock ticking
slower and vice versa a would find o's clock ticking
equally slower, but each will find its own time and
clock unaffected.
Georges.
==================
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