A planet has two small satellites in circular orbits around the planet.The first satellite has a period 12.0 hours and an orbital radius 6.00 × 10⁷ m.The second planet has a period 16.0 hours.What is the orbital radius of the second satellite? A) 4.50 × 10⁷ B) 3.90 × 10⁷ C) 9.24 × 10⁷ D) 8.00 × 10⁷ E) 7.27 × 10⁷

Question

Quizplus · Accepted Answer

Using Kepler's third law, the ratio of the squares of the periods of two satellites is equal to the ratio of the cubes of their orbital radii. Solving for the second satellite's radius gives approximately 7.27 × 10^7 m.

A Planet Has Two Small Satellites in Circular Orbits Around