"A rocket with mass 1200kg reaches a speed of 300m/s when an explosion breaks it up into two parts with equal mass, and their speeds have a 25m/s difference. What are the speeds and how much energy is released?" Show all work. Thanks!

There is no net force acting on the system so the total momentum is the same before and after.

m v before = 1200 * 300
m v after = 600 * v + 600 * (v+25)