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How to Calculate the Initial energy of two protons colliding

  1. Sep 17, 2011 #1
    1. The problem statement, all variables and given/known data

    Tow protons of equal energy collide head on and the result is

    p+p -----> p+p+ Pi0

    If all particles produced at rest what must be the KE of the initial protons



    2. Relevant equations

    mass of Pi0 = 135MeV/c2

    3. The attempt at a solution

    Total energy of the system, E= mc2

    Mass of proton = 1.6726 *10-27 Kg

    Hence initial energy = 2* 1.6726*10-27*2.99*108*2.99*108

    But in this case why do I need the mass of Pi 0...I guess I am terribly worng pls help
     
  2. jcsd
  3. Sep 17, 2011 #2

    vela

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    The initial energy isn't just the sum of the rest energies because the protons are moving.

    What about after the collision?

    Hint: Use the 938 MeV/c2 for the mass of the proton. It'll make the calculations simpler — no unit conversions needed.
     
  4. Sep 17, 2011 #3
    I didnt get you...could you may be explain a bit more
     
  5. Sep 17, 2011 #4

    vela

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    The total energy of a particle is equal to E=mc2+K, where K is the kinetic energy and m is the rest mass.
     
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