Discuss elastic collision in one dimension. Obtain expressions for velocities of the two bodies after such a collision.

Explanation

Hint : Put `m_(1)=m_(2)=m` (say), in equations (x) & (xi)
Putting `m_(1)=m_(2)=m` in equation (x) of example 22
`v_(1)=(m-m)/(m+m)u_(1)+(2m)/(m+m)u_(2)`
`v_(1)=u_(2)`
i.e., velocity of A after collision = velocity of B before collision
From equation (xi) of example 22
`v_(2)=(2m u_(1))/(m+m)+((m-m)u_(2))/(m+m)`
`v_(2)=u_(1)`
i.e., velocity of B after collision = velocity of A before collision
`rArr" "` When two bodies of equal masses undergo elastic collision in one dimension, their velocities are interchanged.