A block of mass 7.37 kg in outer space is moving at 1.82 m/s by no external forces acting on it. After an explosion, the block is split into two parts both having mass equal to half the mass of the original block. The explosion supplies the two masses by an additional 15.3 J of kinetic energy. Neither mass leaves the line of original motion. Compute the magnitude of the velocity of the mass that is moving at a greater velocity.