Two balls move toward each other. Ball one is moving in the positive direction, has a mass of m1, and a velocity of v initially. While ball two has a mass of m1/2, is moving in the negative direction, and has initial velocity of v2. Once the collision takes place ball one will have a final velocity equal to v1,i/2, at an angle of 90 degrees downward. Ball two will have a final velocity of v2,f at an angle of 30 degrees with respect to the positive x axis, seen as going upward and to the right. Find the v2 final in relation to v1 initial.
Seen as something like this
The Attempt at a Solution
In terms of the y direction, Initially we would have a momentum of 0, so
m1v1,i + m1/2 v2,i = m1v1,f+ m1/2 v2,f
0 + 0 = m1v1,f+ m1/2 v2,f
0= -m1 (v1, i /2) + m1/2 (v2 sin(30))
m1 (v1, i /2) = m1/2 (v2 sin(30))[/B]
m1 (v1, i /2)/ m1/2 = v2 sin (30)
I'm not sure how this would cancel out..
m1/2 (v1, i/2) / sin(30) = v2
But i'm really not sure if this is right at all