a planet has gravity of 4.9m/s^2 and has 4 times more radius than earth. what is the planet's mass compared to

Question

Earth?
1. 16 times
2. 8
3. 4
4. 2
5. the same

Answer 1

G*m/r^2 describes the gravitational acceleration from a mass.

Since the radius is 4 times larger, it's contribution is squared, providing a reduction factor of 16. Since it's only 1/2 the gravity of earth, the mass term must be 8 times larger.

Answer 2

The rigidity of gravity relies upon on planets mass divided by technique of radius^2 so if the planet is 4 situations as large and has a radius 4 situations more advantageous, the rigidity of gravity on that planet will be a million/4 that of Earth. you'll weigh one hundred ten/4 or 27.5 pounds.