3 3 15pts) ou are designing a deep space probe that is to be driven through spac

Question

3 3 15pts) ou are designing a deep space probe that is to be driven through space by the sun's light reflecting a sail. The sail material is 87% reflective and 13% What is the minimum cross sectional area of sail that is needed per kg of space craft for the probe to escape sun's gravity? your result should depend on how far you are from the sun. can ignore the gravitational effects of anything besides the sun and the probe. Mm G 6.67x10-11 Nm /kg Msun 1.99 1030 kg Power output of sun 3.9x1026 W C 3x108 m/s

Explanation / Answer

Here, GM/r2 = (6.67 * 10-11 * 1.99 * 1030)/6957000002

                           = 274.24 m/sec2

=>    274.24   = 0.87 * 3.9 * 1026 * 3 * 108/(2 * E)

=> E =   1.855 * 1032 m2/kg

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