A particles of rest mass `m_0` with kinetic energy T strikes a stationary particle of the same rest mass. Find the rest mass and the velocity of the compound particle formed as a result of the collision.

Explanation

`M_0c^2=sqrt(E^2-c^2p^2)`
`sqrt((2m_0^2+T)^2-T(2m_0c^2+T))=sqrt(2m_0c^2(2m_0c^2+T))=csqrt(2m_0(2m_0c^2+T))`
Also `cp=sqrt(T(T+2m_0c^2)), v=(c^2p)/(E)=csqrt((T)/(sqrt(T+2m_0c^2))`