Aspherical nuclear reactor of mass 1030 kg in interstellar space is completely surrounded by a thin, nonrigid spherical shell of matter with a mass of 1026 kg (see the figure). the reactor loses 1010 kg/sec of its mass by the emission of electromagnetic radiation. (if this sounds like the description of a star, it's no accident! ) this radiation is completely absorbed by the surrounding shell of matter. what must be the radius of the spherical shell if the repulsion exerted on it reactor thin by the radiation is just great enough to balance the gravitational shell attraction exerted on it by the reactor? (consider the forces exerted on a small portion of the shell.)