# Physics-momentum and relativity

If it takes 3250 MeV of work to accelerate a proton from rest to a speed of v, determine v

 Perito Posts: 3,141, Reputation: 781 Ultra Member #2 Apr 27, 2009, 04:15 PM
You must determine the relativistic kinetic energy of the particle and solve for velocity. If the speed isn't close to the speed of light, you can approximate it with

$E \approx \frac 12 mv^2$

But you probably already know that. The relativistic formula is

$E = mc^2 \Large (\frac {1}{\sqrt{1-(v/c)^2}} - 1)$

Kinetic energy - Wikipedia, the free encyclopedia

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