(adsbygoogle = window.adsbygoogle || []).push({}); 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

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# Perfectly elastic collision

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