A particle in the solar system is under the combined influence of the Sun’s gravitational attraction and the radiation force due to the Sun’s rays. Assume that the particle is a sphere of density 1.0 * 10^3 kg/m3 and that all the incident light is absorbed. (a) Show that, if its radius is less than some critical radius R, the particle will be blown out of the solar system. (b) Calculate the critical radius.

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Chapter1: Units, Trigonometry. And Vectors
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A particle in the solar system is under the combined
influence of the Sun’s gravitational attraction and the radiation
force due to the Sun’s rays. Assume that the particle is a sphere of
density 1.0 * 10^3 kg/m3 and that all the incident light is absorbed.
(a) Show that, if its radius is less than some critical radius R, the
particle will be blown out of the solar system. (b) Calculate the
critical radius.

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