(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.

I have to solve this using kinetic energy and momentum equations.

2. Relevant equations

m1vi1 + m2vi2 = m1v1f + m2v2f

1/2m1vi1^{2}+ 1/2m2vi2^{2}= 1/2m1v1f^{2}+ 1/2m2v2f^{2}

3. The attempt at a solution

I have gotten to this point:

2= V1F + 2V2F

4= V1F2 + 2V2F

but I cannot get the numbers to work out correctly.

Using another equation I know that V1f = 2/3 and V2f = 4/3

I am doing substitution wrong or something.

Please help!!

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# Perfectly elastic collision

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