Question

If two objects have masses m₁ and m₂ and are separated by a distance d, what happens to the gravitational force between them if the distance is doubled?

A satellite is moving in a circular orbit around the Earth with constant speed. Which of the following statements is true?

An astronaut named Alex is exploring a newly discovered planet, Xylon, which has a mass of 5 × 10²⁴ kg and a radius of 6,400 km. Alex, with a mass of 80 kg, is on the surface of Planet Xylon. The planet is unique because it has only one-sixth of the density of Earth but the same surface gravity.

With the help of Second Law of Motion and the Universal Law of Gravitation derive an expression for acceleration due to gravity 'g'.