A cart mass of M moving at 3V (right) collides with a stationary mass of M, Determine the ratio of the two final velocities if the collision is elastic
The Attempt at a Solution
Since the masses are all equal and v1 is 3V the equation becomes
3 = v1' + v2'
Since the collision is elastic the total energy afterwards equals the total energy afterwards
and since every term is over 2,and the masses equal the equation simplifies to
After rearranging the first equation you get v1' = v2'-3, and then plug that into the energy equation to get
9= 2v2'^2 -6v2-9
after applying the quadratic equation you get 3 or 0, and since the velocity has to change v2' is 3, subsequently v1' is 0 so the ratio is 3:0, or 0:3
3:0 doesn't make sense to me for some reason but I can't find any mistake in what I did, is this right?