A uniform spherical asteroid of radius R o is spinning with angular velocity co o. As the aeons go by, it picks up more matter until its radius is R. Assuming that its density remains the same and that the additional matter was originally at rest relative to the asteroid (anyway on average), find the asteroid's new angular velocity. (You know from elementary physics that the moment of inertia is s MR 2.) What is the final angular velocity if the radius doubles