Question

What happens to the gravitational force between two objects when the mass of both objects is tripled and the distance between the objects is doubled. It increases by

Answer 1

Answer If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on. ... If the separation distance between any two objects is tripled (increased by a factor of 3), then the force of gravitational attraction is decreased by a factor of 9 (3 raised to the second power).

Answer 2

Explanation:

gravitational force = Gm1m2/d² , where m1 is the mass of 1 body and m2 is the mass of another body .

1) when mass of both object is tripled

= m1 -> 3m1 and m2. -> 3m2

apply this new mass in the formula

we get Force (new) = G x 3m1 x 3m2 / d²

as it is multiplication we can take 3 x 3 outside .

so F(new)= 3 x 3 x Gm1m2/d²

= 9 x Gm1m2/d²

we know that Gm1m2/d² is the formula of force

so 9 x F

or in simple we can say it is 9 times the older force

2) when distance between the objects is doubled

distance -> (2d)² -> 4d²

so F(new) = Gm1m2/4d²

take 1/2 outside so that we will get 1/4 x older F

that is the new force will be 1/4 of older force .

NOTE : before you start doing problems like this , think first . when the distance is doubled any attractive force will become less powerful . use the example of magnets when the distance between two magnets is increased the force between them also decreases

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