Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.050 kg) are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are given in Fig. P8.69. All three spheres arrive at the origin at the same time and stick together, (a) What must the x- and y-components of the initial velocity of C be if all three objects are to end up moving at 0.50 m/s in the +x-direction after the collision? (b) If C has the velocity found in part (a), what is the change in the kinetic energy of the system of three spheres as a result of the collision?
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