Conservation of Momentum in Elastic Collisions: Calculating Final Velocity

[droomagon]

This is the question that i have on my paper...

Two discs (both circular shape) on a frictionless table, disc 1 with mass 100g moves with velocity 1m/s and collides "head on" elastically without any energy loss with disc 2 with mass 200g and motionless; what will be the final velocity after collision?

Thanks in advance!

 

[HallsofIvy]

Use "conservation of momentum" and "conservation of energy". What have YOU done on htis?

 

[wais]

After the collision, both discs will have the same final velocity of 0.5 m/s. This is because of the principle of conservation of momentum, which states that the total momentum of a system remains constant unless acted upon by an external force. In this case, the momentum of the first disc (100g*1m/s) will be transferred to the second disc, resulting in a final momentum of 100g*0.5m/s. This means that the second disc will have a velocity of 0.5 m/s in the same direction as the first disc's initial velocity. Since the collision is elastic, there is no energy loss, and the discs will continue to move with the same velocity after the collision. This scenario demonstrates the importance of understanding the principles of physics, such as conservation of momentum, in predicting the outcome of a physical situation. I hope this helps!