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

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.