Suppose that two small spacecraft, each with a mass of 2000 kg, are drifting next to each other. Oneof them has an astronaut on board; with her equipment, she has a mass of 200 kg.Both craft are moving in the x?direction at a velocity of ?vi = (0.5 m/s, 0). An astronaut wants to travel from one to the other. She pushes off of one spacecraft and jumps onto the other craft; as she floats through the air, she travels in the y?direction with a velocity of ?va = (0, 1 m/s). Note that when she moves through the air, she is moving only in the y-direction.(a) What will the velocity of the first spacecraft be after she jumps off of it? (Velocity is a vector; you can give its components.)(b) What will the velocity of the second spacecraft be after she lands on it?(c) Explain in words why the y?components of their final velocities are almost equal and opposite, but are not quite the same magnitude. (d) Explain in words why the x?components of their final velocities are almost equal.

. Suppose that two small spacecraft, each with a mass of 2000 kg, are drifting next to each other. One of them has an astronaut on board; with her equipment, she has a mass of 200 kg. Both craft are moving in the sis-direction at a velocity of if, = (0.5 m/s, 0). An astronaut wants to travel from one to the other. She pushes off of one spacecraft and jumps onto the other craft; as she oats through the air, she travels in the ydirection with a velocity of 17.3 = (0,1 m/s). Note that when she moves through the air, she is moving only in the ydirection. (a) What will the velocity of the rst spacecraft be after she jumps off of it? ( Velocity is a vector; you can give its components.) (b) What will the velocity of the second spacecraft be after she lands on it? (c) Explain in words why the y-components of their nal velocities are almost equal and opposite, but are not quite the same magnitude. (d) Explain in words why the xcomponents of their nal velocities are almost equal