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the question is:

http://ufu.co.il/files/dyzh41xkp5amsfjpv4dk.png

the two sticks clash and stick one to the other, the plane is smooth friction.

the momentum of one stick (in it's own center of mass is 0.5*L^2*m).

the length of the sticks is L and the mass is m, the vertical's stick speed is v.

I have to find the angular speed (w- omega) that both sticks will rotate in, I have manged to do this with the angular momentum preservation law, and I would like to know how to this with energy preservation law.

tnx