Question

If

you
increased one mass 2 times and another
mass by 4 times how would the force of gravity
between them change?

Answer 1

A factor of 2*4 = 8

Step-by-step explanation:

F_g = (G*m1*m2)/r^2

where m1 and m2 are the two masses, G is Newton's gravitational constant, and r is the distance between the center of mass of the two objects.

So, if you double m1 and quadruple m2:

m1' = 2*m1

m2' = 4*m2

Then F_g' = (G*m1'*m2')/r^2 = (G*2*m1*4*m2)/r^2 = 8*(G*m1*m2)/r^2 = 8*F_g