Kinetic energy is also conserved.
This is all the work I have done so far.
(62)(2.8) + (76)(1.6) = 62v1 + 76v2
0.5(62)(2.8)^2 + 0.5(76)(1.6)^2 = 0.5(62)(v1)^2 + 0.5(76)(v2)^2
295.2 = 62v1 + 76v2 and 340.32 = (31)(v1)^2 + (38)(v2)^2
v2= (295.2 - 62v1)/76
340.32 = (31)(v1)^2 +...