Answer Happy

1. A tiny piece of space junk of mass m strikes a glancing blow to a spherical satellite (Figure below). After the collision the space junk is traveling in a new direction and moving more slowly. The space junk had negligible rotation both before and after the collision. The velocities of the space junk before and after the collision are shown in the diagram. The center of mass of the satellite is at its geometrical center. The satellite has mass M, radius R, and moment of inertia I about its center. Before the collision the satellite was moving and rotating as shown in the diagram. a. What is the linear 13 momentum of the space 2 junk? What is in the system? m What is in the surroundings? v1 c. Applying the momentum principle, what is the rate of change of momentum? Explain why. @1 M, R, I d. What is the total linear e. momentum of the system before the collision? (Remember that momentum is a vector.) What is the total linear momentum of the system after the collision? (Remember that momentum is a vector.) f. What is the center of mass velocity of the satellite after the collision? (Both the x and y components.) g. Applying the angular momentum principle, what is the rate of change of angular momentum for this collision? Explain why? h. What is the total angular momentum (about the center of mass of the satellite) of the system just before the collision? i. What is the total angular momentum (about the center of mass of the satellite) of the system just after the collision? j. What is the angular velocity of the satellite after the collision? k. Applying the energy principle, what is the change in total energy of the system? I. What energy are changing in the system? m. Find the change in internal energy of the satellite? b. 1/2