A0.473 kg ice puck, moving east with a speed of 2.76 m/s, has a head-on collision with a 0.819 kg puck initially at rest. assuming a perfectly elastic collision, what will be the speed and direction of each object after the collision?

The final speed of puck 1 is 0.739 m/s towards west  and puck 2 is 2.02 m/s towards east .

Explanation:

Let us consider east as positive direction and west as negative direction .

Given

mass of puck 1 ,

mass of puck 2 ,

initial speed of puck 1 ,

initial speed of puck 2 ,

Final speed of puck 1 and puck 2 be  respectively

Apply conservation of linear momentum

=>

=> -----(A)

Since collision is perfectly elastic , coefficient restitution e=1

=> ------(B)

From equation (A) and (B)

and

Thus the final speed of puck 1 is 0.739 m/s towards west  and puck 2 is 2.02 m/s towards east .