Two cars approach an ice-covered intersection. One car, of mass 1.27 103 kg, is initially traveling north at 12.1 m/s. The other car, of mass 1.63 103 kg, is initially traveling east at 12.1 m/s. The cars reach the intersection at the same instant, collide, and move off coupled together. Find the velocity of the center of mass of the two-car system just after the collision.