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Question 1: Imwe is getting married again, but this time, the wedding is in space! (see midterm 1, 2019 if you are not already familiar

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Question 1: Imwe is getting married again, but this time, the wedding is in space! (see midterm 1, 2019 if you are not already familiar with Imwe) The 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 the wedding (sorry, Doug) generate a total of 100 kW of heat, all of which reaches the surface of the spacecraft. Additionally, the craft absorbs heat from Frozenia's star (distance 1010 m), whose light has an intensity of 750 W/m2 near the spacecraft. a) Assuming that the outer surface of the spacecraft has a uniform equilibrium temperature T, determine this temperature. Note: you don't need to worry about inward radiation from the shell, since all of this is absorbed by the shell again

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