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Mr confusion
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Homework Statement
A neutron with kinetic energy T= 2mc^2 (m=rest mass),strikes another stationary neutron.What will be the combined kinetic energy of both the neutrons in the frame of their centre of inertia and the momentum p of each neutron in that frame.what is the velocity of the centre of inertia of this system of particles.
Homework Equations
i think they are E=mc^2 +TMOMENTUM 4 VECTOR(E/C, p)
The Attempt at a Solution
i am first trying to calculate the velocity of centre of mass by using v com= (m1 v1 +m2v2)/(m1+m2)and this is where i get stuck. in relativity, what values of m1 and m2 will i use? rest mass/the mass of a moving particle ie. relativistic mass), also how will i find v, i am given the relativistic kinetic energy 2mc^2= (gamma-1)mc^2, so gamma factor=3, which gives v=root(8)/3 c.
a side question coming to my head is that does the total energy E contain all energies - ie electrostatic, magnetic, gravitational?(THIS IS NOT RELATED TO THIS PROBLEM, THOUGH)