A spherical satellite of approximately uniform density with radius 6.6 m and mass 290 kg is originally moving with velocity (2600, 0, 0) m/s, and is originally rotating with an angular speed 2 rad/s, in the direction shown in the diagram. A small piece of space junk of mass 8.6 kg is initially moving toward the satellite with velocity (-2200, 0, 0) m/s. The space junk hits the edge of the satellite as shown in the figure below, and moves off with a new velocity (-1300, 480, 0) m/s. Both before and after the collision, the rotation of the space junk is negligible. V3 X V2 m @1 M,R,I (a) Just after the collision, what are the components of the center-of-mass velocity of the satellite (Vx and vy) and its rotational speed w? (For vx, enter your answer to at least four significant figures.) Vx = Vy = W = m/s m/s rad/s (b) Calculate the rise in the internal energy of the satellite and space junk combined. J