Question

The gravitational force between two objects is represented by the variable F.

If the masses are both doubled and the distance is halved, what is the new gravitational force?

Answer 1

Step-by-step explanation:

Fgravity = G*(mass1*mass2)/D²

G is the gravitational constant, which has the same value throughout our universe.

D is the distance between both objects.

now, we change these numbers

Fgravitynew = G*(2*mass1*2*mass2)/(1/2 * D)² =

= G*(4*mass1*mass2)/(D²/4) =

= 4* (G*(mass1*mass2)/D²) *4 =

= 16* (G*(mass1*mass2)/D²) = 16*Fgravity

so, the new gravitational force will be 16×F.