Question

PLEASE HELP ME!

If the mass of one object is tripled, and the distance between them is doubled, how does the force of gravity change?
a. Force is multiplied by 4
b. Force is divided 3
c. Force is multiplied 3/4
d. Force is divided 3/4

Answer 1

Force between two object is given by F = Gm1m2/r^2
If the mass of one object is tripled, and the distance between them is doubled,
then F(new) = Gm13m2/(2r)^2 = 3Gm1m2/4r^2 = 3/4 x Gm1m2/r^2 = 3/4 x F
i.e. F(new) = 3/4 multiplied by F.
Therefore, Force is multiplied by 3/4.