1. The problem statement, all variables and given/known data A block moves at 5 m/s in the positive x direction and hits an identical block, initially at rest. A small amount of gunpowder had been placed on one of the blocks. The explosion does not harm the blocks but it doubles their total kinetic energy. After the explosion, the blocks move along the x axis and the orginally moving block has a speed of: 2. Relevant equations momentum = mass * velocity kinetic energy = (1/2) m *(v)^2 conservation on momentum: the total initial momentum = the total final momentum 3. The attempt at a solution since the mass of the two cars is the same, the mass = M v1 = velocity of cart 1 v2 = velocity of cart 2 before the collision, the total kinetic energy is 12.5M J before the collision, the total momentum is 5M kg*m/s after the collision, the total kinetic energy is 25M J initial momentum = final momentum 5M = Mv1 + Mv2 This is where I am stuck. I don't know what the next step is and if someone would help me along it would be very much appreciated.