In another solar system,a planet has an airless moon Zygo that is 4.0 × 10⁵ m in diameter.Experiments reveal that a freely falling object at the surface of Zygo accelerates at 0.20 m/s².What is the mass of Zygo? (G = 6.67 × 10^-11 N ∙ m²/kg²) A)2.4 × 10¹⁹ kg B)4.8 × 10¹⁹ kg C)1.2 × 10²⁰ kg D)2.4 × 10²⁰ kg E)4.8 × 10²⁰ kg

Question

Quizplus · Accepted Answer

The gravitational acceleration formula is g = G * M / r^2. Solving for M gives M = g * r^2 / G. Substituting g = 0.20 m/s², r = 2.0 × 10^5 m, and G = 6.67 × 10^-11 N∙m²/kg², we find M ≈ 1.2 × 10^20 kg.

In Another Solar System,a Planet Has an Airless Moon Zygo