You Are the Science Officer on a Visit to a Distant

Multiple Choice

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 free-fall acceleration 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