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Perfectly elastic collision 
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#1
Dec208, 09:04 AM

P: 35

1. The problem statement, all variables and given/known data
In an isolated system, cart1 (with mass = 1 kg and vi1 = 2) has a perfectly elastic collision with cart2 (with mass = 2 kg and vi2 = 0). Find the velocity of cart1 and the velocity of cart2 after the collision. 2. Relevant equations 1/2m_{1}v_{i1}^{2} + 1/2m_{2}v_{i2}^{2} = 1/2m_{1}v_{1f}^{2} + 1/2m_{2}v_{2f}^{2} m1vi1 + m2v2i = m1v1f + m2v2f 3. The attempt at a solution I plugged in all of the numbers. For momentum I got 2= V1f + 2 V2f For kinetic energy I got 4 = V1f^{2} + 2V2f^{2} Next I solved for V1f and plugged it into the equation. I just need some confirmation that my answer is right. It doesn't seem correct. I got: V2f = 2 V1f = 2 


#2
Dec208, 09:22 AM

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#3
Dec208, 09:36 AM

P: 35

No, they don't. You're right that was an easy way to check myself.



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