MHB Proving Perpendicular Motion: 2 Masses Colliding Obliquely

markosheehan
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two smooth spheres of masses 2kg and 4kg collide obliquely . the 2 kg mass is brought to rest. the coefficient of restitution is 1/2
prove before the impact the spheres were moving in perpendicular directions to each other.

using conservation of momentum. 4x+2y=4p+2(0) where x and y are velocities before impact. p is velocity after impact of 4kg

Newtons experimental law p-0/x-y =-1/2

once i get there velocities in terms of the variables i don't know what to do
 
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the velocity in the j direction does not change as its along the i axis
 

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