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 kg, (b) 2.9 kg kg
B) (a) 1.3 kg kg, (b) 2.9 kg kg
C) (a) 7.2 kg kg, (b) 1.7 kg kg
D) (a) 1.3 kg kg, (b) 1.7 kg kg
Question 2
Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 1026 kg and the rings have an average radius of 100,000 km. (G = 6.67 10-11 N m2/kg2)
A) 19.5 km/s
B) 27.5 km/s
C) 13.8 km/s
D) 1.95 km/s
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