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? A)(a)2.4 kg × 10²⁵ kg (b)1.2 kg × 10³¹ kg B)(a)4.3 kg × 10²⁵ kg (b)1.2 kg × 10³¹ kg C)(a)2.4 kg × 10²⁵ kg (b)7.1 kg × 10³⁰ kg D)(a)4.3 kg × 10²⁵ kg (b)7.1 kg × 10³⁰ kg

Question

Quizplus · Accepted Answer

The correct answer is (a) 2.4 kg × 10^25 kg and (b) 1.2 kg × 10^31 kg.The mass of the planet can be calculated using the formula:Mass = (4/3)πr^3 * densitywhere r is the radius of the planet and density is the average density of the planet.The mass of the star can be calculated using the formula:Mass = (4π^2 * r^3) / (G * T^2)where r is the distance between the planet and the star, G is the gravitational constant, and T is the period of the planet's orbit.

You Are the Science Officer on a Visit to a Distant