Uranus completes one revolution about its own axis every 17.24 hours. What is the radius of the orbit required for a satellite to revolve about Uranus with the same period? Uranus has a mass of 8.69 × 10²⁵ kg and G = 6.67 x 10^-11 N·m²/kg². A) 8.27 × 10⁷ m B) 3.41 × 10⁸ m C) 2.56 × 10⁸ m D) 9.03 × 10⁷ m E) 1.04 × 10⁷ m

Question

Quizplus · Accepted Answer

The correct answer is A because the radius of the orbit required for a satellite to revolve about Uranus with the same period is 8.27 × 10^7 m. This is because the period of revolution is the same for all satellites orbiting a planet, regardless of their mass or distance from the planet. The period of revolution is determined by the mass of the planet and the distance of the satellite from the planet.

Uranus Completes One Revolution About Its Own Axis Every 17