One goal of the Russian space program is to illuminate dark northern cities with sunlight reflected to the Earth from a 200 mdiameter mirrored surface in orbit. Several smaller prototypes have already been constructed and put into orbit.(a) Assume that sunlight with intensity 1340 W/m² falls on the mirror nearly perpendicularly and that the atmosphere ofthe Earth allows 85.5% of the energy of sunlight to pass though it in clear weather. What is the power received by a citywhen the space mirror is reflecting light to it?W(b) The plan is for the reflected sunlight to cover a circle of diameter 8.00 km. What is the intensity of light (the averagemagnitude of the Poynting vector) received by the city?W/m²(c) This intensity is what percentage of the vertical component of sunlight at St. Petersburg in winter, when the sunreaches an angle of 8.00° above the horizon at noon?%

Area of the mirrored surface circular orbit of diameter dA = π(d/2)2 goven d = 200 mso A =…

Answered: One goal of the Russian space program…

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