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 and its rotation period to be 22.3 hours. You have previously determined that the planet orbits 1.8 × 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 59.7 m/s2. What are the mass of (a) the planet and (b) the star? (G = 6.67 × 10-11 N ∙ m2/kg2.)
A) (a) 7.2 kg × 1025 kg, (b) 2.9 kg × 1030 kg
B) (a) 1.3 kg × 1026 kg, (b) 2.9 kg × 1030 kg
C) (a) 7.2 kg × 1025 kg, (b) 1.7 kg × 1030 kg
D) (a) 1.3 kg × 1026 kg, (b) 1.7 kg × 1030 kg
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