Power received by city when space mirror is reflecting light

Reference no: EM13663101

One goal of the Russian space program is to illuminate dark northern cities by sunlight reflected to the Earth from a 200 m diameter mirrored surface in orbit. Some smaller prototypes have already been constructed and put into orbit.

a) Suppose that sunlight with intensity 1340W/m² falls on the mirror nearly perpendicularly and that the atmosphere of the Earth allows 83.3% of the energy of sunlight to pass although it in clear weather. What is the power received by a city when 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 average magnitude of the Pointing 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 sun reaches an angle of 8.80° above the horizon at noon?

______________ %

Reference no: EM13663101

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