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    This is again from the Edexcel A2 Student's Book. I thought I would use the conservation of momentum here, but I assumed that since the KE of the neutron falls to 1MeV, this KE is gained by the proton, so the proton's KE becomes 3MeV. That doesn't seem to work, I have no idea how to solve this. :|

    There is a similar question to this as well which I am having trouble at:

    Protons are accelerated to an energy of 10GeV and the beam is made to collide head-on with a beam of anti-protons, also with an energy of 10GeV. How much energy is available from each collision to produce new particles? Take the proton mass as 940 MeV/c^2.
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