Question

How do you calculate the force of the gravity between the two objects?

Answer 1

Often known as Newton's law of the gravitation, the gravitational force formula is. The magnitude of the force between two objects is also described in addition the gravitational force calculation contains the gravity constant with a value of $G=6.677\times {{10}^{-11}}N.{{m}^{2}}/k{{g}^{2}}$ in addition the gravitational force unit is newton’s (N ).

Formula used:
$F=\dfrac{G{{m}_{1}}{{m}_{2}}}{{{r}^{2}}}$

Complete step by step solution:
First let’s see the definition of the gravitational force.

The force of the attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.

By going with the definition, gravitational formula is,
$F\propto \dfrac{G{{m}_{1}}{{m}_{2}}}{{{r}^{2}}}$
Where, F = gravitational force between the two objects
${{m}_{1}}\text{ and }{{m}_{2}}$The mass of the two objects
r is the distance between the centers of two bodies

Now the formula is given as,
$F=\dfrac{G\left( {{m}_{1}}{{m}_{2}} \right)}{{{r}^{2}}}......\left( 1 \right)$
Where, G = gravitational constant

By using the equation (1) we can calculate the force of the gravity between two objects.

Additional information:
Acceleration due to the gravity:-
The acceleration gained by an object due to the gravitational force is called acceleration due to the gravity. Its S.I unit is $m/{{s}^{2}}$ it has both magnitude and the direction, so it is the vector quantity and is expressed by g. at sea level the normal value of g on the earth’s surface is 9.8$m/{{s}^{2}}$.

Note:
As an approach to know how to calculate gravitational force first we state the definition of the gravitational force which gives us the formula which is given as,
$F=\dfrac{G{{m}_{1}}{{m}_{2}}}{{{r}^{2}}}$
Where, F = gravitational force.
G = gravitational constant
${{m}_{1}}\text{ and }{{m}_{2}}$ = Mass of the two objects
r = distance between two objects.