A satellite to reflect radar is a 2.0-m-diameter,

Chapter 19, Problem 19.107

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A satellite to reflect radar is a 2.0-m-diameter, 2.0-mm-thick spherical copper shell. While orbiting the earth, the satellite absorbs sunlight and is warmed to 50C. When it passes into the earths shadow, the satellite radiates energy to deep space. The temperature of deep space is actually 3 K, as a result of the Big Bang 14 billion years ago, but it is so much colder than the satellite that you can assume a deep-space temperature of 0 K. If the satellites emissivity is 0.75, to what temperature, in C, will it drop during the 45 minutes it takes to move through the earths shadow?

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