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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?

Rahul Jiji George , 10 Years ago
Grade 10
anser 1 Answers
Gurpreet Singh

Last Activity: 10 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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