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Statement of a problem № 384

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A neutron with kinetic energy T = 2m0c^2, where (a) the combined kinetic energy T of both neutrons in the frame of their centre of inertia and the momentum of each neutron in that frame; (b) the velocity of the centre of inertia of this system of particles. Instruction. Make use of the invariant E^2 — p^2c^2 remaining constant on transition from one inertial reference frame to another (E is the total energy of the system, p is its composite momentum).

Solution:
A neutron with kinetic energy T = 2m0c^2, where (a) the combined kinetic energy

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