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
You could check your answers yourself. Do they satisfy both the kinetic energy and momentum equations?