Question: An internal explosion breaks an object, initially at rest, into two pieces, one of which has 1.50 times the mass of the other. If 7230 J were released in the explosion, how much kinetic energy did the heavier piece acquire? How much kinetic energy did the lighter piece acquire? I know that I have to relate the total energy given to the kinetic energies of both particles, one have 3/2*m than the other one but I'm not sure how I would rearrange the equation. I tried to put mass 1 in terms of mass 2 and solve it that way but my answer was off by a couple of hundred.