A spherical capsule of 3-m radius is fired from aspace

Chapter 12, Problem 12.138

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A spherical capsule of 3-m radius is fired from aspace platform in earth orbit, such that it travelstoward the center of the sun at 16,000 km/s. Assumethat the capsule is a lumped capacitance body with adensityspecific heat product of 4?106J/m3?K andthat its surface is black.(a) Derive a differential equation for predicting thecapsule temperature as a function of time. Solvethis equation to obtain the temperature as a func-tion of time in terms of capsule parameters andits initial temperature Ti (b) If the capsule begins its journey at 20C, predict theposition of the capsule relative to the sun at whichits destruction temperature, 150C, is reached

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