In reply to  Axil Axil's message of Thu, 19 Jan 2017 11:58:00 -0500:
Hi,
[snip]
>http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0169895

I think Holmlid made a mistake in his velocity calculation. (Either that, or I
did).

He equates 500*MeV/u to 0.75 c.

I think this derives from the formula:-

(sqrt(500*MeV/u))/c = 0.733 which is close to 0.75 C.

where u is the standard atomic mass unit. (i.e. mass of Carbon12 / 12).

However I think the formula is incorrect, see the following derivation.

From Einstein we get:-

Kinetic energy (Ek) = p*c (where p is the momentum).

p = m * v where m is relativistic mass, and v is the velocity.

=> Ek = m*v*c
=> Ek/m = v*c
=> Ek/(mc) = v

500 Mev /amu has the dimension of energy/unit mass, i.e. Ek/m,

So 

500 MeV / u = Ek/m = v*c

=> v = 500 MeV / (u*c) = 1.609E8 m/s or, as a fraction of c,

500 MeV / (u*c^2) = 0.537 (not 0.733)

Regards,

Robin van Spaandonk

http://rvanspaa.freehostia.com/project.html

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