The relationship between acceleration due to gravity (g), mass of earth (M) and the radius of earth (R) is [tex]g = \frac{GM}{R^2} [/tex].
The weight of an object is determined as the product of the object's mass and acceleration due to gravity.
F = mg
The gravitational force between two objects in the universe is directly proportional to the product of mass of the objects and inversely proportional to the square of the distance between the objects.
[tex]F = \frac{GmM}{R^2} [/tex]
[tex]mg = \frac{GmM}{R^2} \\\\ g = \frac{GM}{R^2} [/tex]
where;
M is the mass of the earth
R is the radius of the earth
Thus, the relationship between acceleration due to gravity (g), mass of earth (M) and the radius of earth (R) is [tex]g = \frac{GM}{R^2} [/tex].
Learn more about Newton's gravitational law here: https://brainly.com/question/9373839
