How to calculate mass of the earth Physics.

we do not have enough big scale to fit the earth and measure its mass, But using physics we can easily measure the size of the earth.
let's consider this as earth if we place a stone over the surface of the earth, then their will be a force of attraction between the stone and the center of the earth
and that force is defined by the newton law of gravity
which is the force of attraction between 2 mass is equals to the G times masses of the objects and the square of the distance of separation between them.
Now form newton second law we know that gravitational force is equal to mass times gravitational acceleration

comparing these two equation (Newton second law and Newton law of gravitation) we will get the mass of the earth m= g r^square divided by G.
m is mass of the earth
r is radius of the earth
g is gravitational acceleration
G is the universal gravitational constant
Putting the values of g r and G and solving we will get the value for mass of the earth.

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