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Response Details:
This problem needs to be broken up into components of conservation of momentum. Because there is no external force acting on your system, there is no change in the total momentum of the system. This can be written for momentum in both directions as follows:
NOTE: IN EACH EQUATION, SECOND THETA IS A DISTINCT AND NEW ANGLE.
The minus sign in the ρy equation is because mass 1 is moving downward at that time, and we have chosen up and right as our positive coordinate axis. Finding the direction of the ball can be done a multitude of ways (any way you can solve for θ). But first, keep in mind m1=m2, so you can eliminate mass out of the problem. The angle for the second ball is:
cos-1[ ]
Since it's an elastic collision, you also know that V1 + V1F = V2 + V2F
Knowing these equations and being able to solve, plug, and solve, you should be able to get it. Good luck.
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