Given that a planet's mass and diameter are 4 and 8 times those
of the Earth respectively, calculate the ratio between the acceleration due to gravity on that planet and that on the Earth.
The relation between acceleration, mass, and radii of two planets can be written as
Given that the planet is 4 times the mass of the Earth, let the Earth have a mass of and the planet have a mass of 4.
Given that the planet has a diameter 8 times the length of the Earth, let the Earth have a radius of and the planet have a radius of .
Let the planet have an acceleration due to gravity .
The ratio between the acceleration due to gravity on that planet and that on the Earth is .