Two carts equipped with spring bumpers on an air track have an elastic collision. The 253-g cart has an initial velocity of 1.80 m/s [N]. The 232-g cart is initially stationary. What is the velocity of each cart after the collision?
I know because cart 2 is initially stationary:
m1v1 = m1v1' + m2v2'
and 1/2m1v1^2 = 1/2 m1v1'^2 + 1/2m2v2'^2
The Attempt at a Solution
I've been trying to solve this by rearranging the equations and subbing them in to each other, but I keep ending up with really complicated equations that I can't seem to solve. Is there a simpler way to look at a problem like this? I'm fine with most collisions that aren't elastic, but the ones that are I can't do. Thanks.