A hypothetical planet has a mass one-third of and a radius three times that of earth. What is the acceleration due to gravity on the planet in terms of g

Acceleration of gravity on the planet is

Explanation:

The acceleration of gravity at the surface of a planet is given by

where

G is the gravitational constant

M is the mass of the planet

R is the radius of the planet

For the Earth, we have

where is the Earth mass and is the Earth's radius.

For the planet in this problem, we have

(mass is 1/3 of the Earth)

(radius is 3 times that of Earth)

Therefore, its acceleration of gravity is

the answer would be a