If you stood on a planet having a mass four times that of Earth's mass, and a radius two times that of Earth's radius, you would weigh
A) two times less than you do on Earth.
B) two times more than you do on Earth.
C) the same as you do on Earth.
D) four times more than you do on Earth.

Question

Quizplus · Accepted Answer

The gravitational force is proportional to the mass of the planet and inversely proportional to the square of the radius. If the mass is four times greater and the radius is two times greater, the gravitational force (and thus your weight) would be (4/(2^2)) = 1, meaning you would weigh the same as on Earth.

If You Stood on a Planet Having a Mass Four