Compton Effect: Finding Final KE of Electron

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Homework Statement


In the compton effect a .150nm photon strikes a free staionary electron in a head-on elastic collision and knocks it into the foward direction. The rebounding photon recoils directly backwards. Use the collision conservation laws to find the final kinetic energy of the electron


Homework Equations


P = h/lambda
Ek = 1/2mv^2

The Attempt at a Solution



All i know is i need the momentum of the photon which is p =h/lambda = 4.42e-24 kg m/s basically i just need to know how to find the speed of the elctron which i can sub into ek = 1/2mv^2
 
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is it, i didn't think that electrons could travel at c