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What happens to the gravitational force between two objects if the mass of one the object is trippled and the distance between them is halved?

What happens to the gravitational force between two objects if the mass of one the object is trippled and the distance between them is halved?

Grade:10

1 Answers

Gurpreet Singh
21 Points
9 years ago
force of gravity will increase by 12 times .
let have two bodies of mass x
using formula
 
f = Gm1M2/ r^2
= G x^2/r^2          equation 1
now by your statement 
 M2 = 3x , m1 = x , r = r/2
 
Again using formula
 F = G M2 m1 / r^2
 
= G 3x^2 / (r/2)^2
= G 3x^2 multiplied by 4 / r^2
= G12x^2 / r^2            equation 2
 
by dividing eqation 2 by equation 1 ,
you will get ratio 12:1 . Hence force of attraction increases by 12

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