Two bodies of identical masses with 2^(nd) body at rest collides with 1^(st) body, prove that the velocities of the bodies are reversed.

Two bodies of identical masses with 2^(nd) body at rest collides with

1.	Two bodies of identical masses with 2^(nd) body at rest collides with 1^(st) body, prove that the velocities of the bodies are reversed.
Answer» Solution :When bodies have the same mass i.e., `m_(1)=m_(2)` and second body (usually called target) is at rest `(u_(2)=0)`, By substituting `m_(1)=m_(2) and u_(2)=0` in equations `v_(1)=((m_(1)-m_(2))/(m_(1)+m_(2)))u_(1)+((2m_(2))/(m_(1)+m_(2)))u_(2)""...(1)` and equations `v_(2)=((2m_(1))/(m_(1)+m_(2)))u_(1)+((m_(2)-m_(1))/(m_(1)+m_(2)))u_(2)," we get...(2)"`, from equations (1) `IMPLIES v_(1)=0` from equations (2) `implies v_(2)=u_(1)`