Answer:
It increases
Explanation:
The strength of the gravitational force between two objects depends on two factors, mass and distance.
The Mass of the Objects: The more mass two objects have, the greater
the force of gravity the masses exert on each other. If one of the masses
is doubled, the force of gravity between the objects is doubled.
Let's use some numerical values with the gravity equation.
[tex]Fg=\frac{(G*m1*m2)}{r^{2}} \\where\\G= 6.67*10^-11 [N*m^2/kg^2]\\m1= mass body 1 [kg]\\m2= mass body 2 [kg]\\r= distance separation [m][/tex]
If we have two objects that were manufactured in a steel melting company, one of them has a mass of 12 [Ton] = 12000 [kg], and the other is 4 meters close to the other and weighs 8 [Ton] = 8000 [kg].
Replacing this values in the equation we have:
[tex]Fg= \frac{6.67*10^-11 * 12000*8000}{4^2}\\Fg= 4.002*10^-4 [N] = 0.0004 [N]\\[/tex]
Now let's say that both bodies increase their mas in two tons, therefore we have.
[tex][tex]Fg= \frac{6.67*10^-11 * 14000*10000}{4^2}\\Fg= 4.669*10^-4 [N] = 0.0004669 [N][/tex]
We can appreciate from this procedure that the force increases, but this force is almost nothing compared with the force exerted by planets and their interaction between them.
