1: You are getting married and decide to hold your wedding in space! Your spacecraft is a spherical shell (R = 5 m) of material whose outside surface has emissivity 1 (for infrared wavelengths) and albedo 0.4. The 100 people at your wedding generate a total of 100 kW of heat, all of which reaches the surface of your spacecraft. Additionally, the craft absorbs heat from a nearby star (distance 1010 m, emissivity = 1), whose light has an intensity of 750 W/m2 at the position of your spacecraft. a) Assuming that the outer surface of your spacecraft has a uniform equilibrium temperature T, determine this temperature. Hint: you don't need to worry about inward radiation from the shell, since all of this is absorbed by the shell again