A28.0-g object moving to the right at 20.5 cm/s overtakes and collides elastically with a 11.0-g object moving in the same direction at 15.0 cm/s. find the velocity of each object after the collision. (take the positive direction to be to the right. indicate the direction with the sign of your answer.)

Explanation:

It is given that,

Mass of object 1,

Initial speed of object 1,

Mass of object 2,

Initial speed of object 2,

The momentum of an object in case of elastic collision remains conserved. It is given by :

.............(1)

For elastic collision, the coefficient of restitution is equal to 1. It is given by :

...............(2)

On solving equation (1) and (2) we get :

Hence, this is the required solution.