Spheres A, 0.020 kg, B, 0.030 kg and C, 0.050 kg, approach the origin by sliding on a friction less air table. The initial velocities of A and B are shown in the figure. The three spheres reach the origin simultaneously and hit each other. a) which components x and y must have the initial velocity of C if after the collision the three objects have a velocity of 0.50 m/s in the direction +x? b) if C has the velocity obtained in question (a), what is the change in the kinetic energy of the system of the three spheres as a result of the collision?