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January 31, 2015

January 31, 2015

Posted by **PLEASE AND THANK YOU** on Thursday, April 4, 2013 at 10:06pm.

- physics -
**bobpursley**, Thursday, April 4, 2013 at 10:29pmrelativistic KE=Voltage*charge

to find the speed,

relastivistic KE=restmass*c*gamma

gamma=(1/sqrt(1-(v/c)^2) -1)

so take relavitic KE, divide by restmass, then divide by speed of light.

result=gamma

Now ignore the -1 in the gamma, look at it later. If v is approaching c, it can be ignored.

square both sides (ignoring the -1)

solve for v in terms of c. If v/c is within .5 or greater, use that v, it is pretty accurate. If v/c is greater than .5, you have to consider the -1 in gamma. You can do that by expanding the gamma with the binomial expansion, and there are programs to do that, and I am told calculators to do it. I would not relish doing more than a few terms by hand.

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