Fire at angle 45 degree. Initial kinetic energy = Eo At top of projectile explode with addtional energy Eo into 2 fragment. 1. Mass = m1, go straight down. 2. Mass = m2, direction: unknown. Question: 1. Velocity (mag and dir) of m2 2. Velocity of m1 3. What's ratio m1/m2 when m1 is maximun? 2. Relevant equations Conservation of momentum: mo x vo = m1 x v1 + m2 x v2 Eo = 1/2 mo x vo^2 mo = m1 + m2 Center of Mass: No clue 3. The attempt at a solution How can I use center of mass correctly to get the direction of m2? I can set up the conservation of momentum formula but I need the second formula to solve for the 2 velocity!