by conservation of energy: 
* 
+ 
* 
= 
* + 
*
by conservation of momentum: 
* + 
* = 
* + 
*
We want to find the final velocities ( and ) so there are 2 unknowns and
2 equations, so we can solve:
from 1 we get: * 
+ - * =
from 2 we get: * + - * =
combining we get
* + = * + 
= * + - *
*
+ 2*** - 2*** -2* * * + * = * -
* ( + 1) + * (2**-2* * ) + * - * = 0
so to get all we have to do is solve
quadratic equation where:
a = + 1
b = 2**-2* *
c = *(-)
= 
= -2**-2* * +- sqrt (2**-2* * -4( + 1)**(-)
-----------------------------------------------------------------------------
2*( + 1)
Here I'm stuck, if you have any ideas how to take this forward please let me know.
