You Are the Science Officer on a Visit to a Distant

You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its diameter to be 1.8 × 10⁷ m. You have previously determined that the planet orbits 2.9 × 10¹¹ m from its star with a period of 402 earth days. Once on the surface you find that the acceleration due to gravity is 19.5 m/s². What are the masses of (a) the planet and (b) the star?
(G = 6.67 × 10^-11 N ∙ m²/kg²)

A)
(a) 2.4 kg × $10^{25}$ kg,
(b) 1.2 kg × $10 ^ { 31 }$ kg
B)
(a) 4.3 kg × $10^{25}$ kg,
(b) 1.2 kg × $10 ^ { 31 }$ kg
C) (a) 2.4 kg × $10^{25}$ kg,
(b) 7.1 kg × $10^{30}$ kg
D)
(a) 4.3 kg × $10^{25}$ kg,
(b) 7.1 kg × $10^{30}$ kg

Correct Answer:

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