Question

How does the value of g on the earth is related to the mass of the earth and its radius drive it ​

Answer 1

Explanation:

The value of g is influenced by the mass and radius of earth as g is acceleration of an object due to earth's gravitational force. The earth pulls everything on its surface towards its centre,so the distance between the centre and the object which is indirectly the earth's radius,has to be considered

Answer 2

The relationship between acceleration due to gravity (g), mass of earth (M) and the radius of earth (R) is $g = \frac{GM}{R^2}$.

What is weight of an object?

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 on objects in the universe

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.

$F = \frac{GmM}{R^2}$

$mg = \frac{GmM}{R^2} \\\\ g = \frac{GM}{R^2}$

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 $g = \frac{GM}{R^2}$.

Learn more about Newton's gravitational law here: brainly.com/question/9373839