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 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