What is the Speed of a Proton at Triumf?

[erinec]

Homework Statement

Determine the speed of a proton whose kinetic energy is 500 MeV. The mass of a proton is 938.27 MeV/c².

Homework Equations

K = (1/2)mv²??

The Attempt at a Solution

The correct answer is supposed to be 0.758c, where c is the speed of light.
Of course, I plugged in the given numbers to the equation and got the wrong answer 1.0323 c. What did I do wrong? What does it mean by "triumf"?

Thanks

 

[Kurdt]

You will need to use special relativity to tackle this problem. Triumf is just a particle accelerator.

 

[inutard]

The formula KE = (gamma -1)mc^2 may be helpful for your endeavors.
where gamma = (1-v^2/v^2)^(-1/2)