Question

Hey guys!

I'm here with my question..
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Two body of mass 'm' and '2m', they are separated by distance 'd'. Find the place between them where net gravitational force is 0.
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#thanks for answering.

Answer 1

see the above image...

Answer 2

Hey friend here is ur query.

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As we know gravitational force acting b/w two bodies....
so let assume that a unit mass of body is placed at x from body 'm'
hence distance from '2m'
body is (d-x)

now gravitational forces are equal
hence
Gm*1/x². =G*2m*1/(d-x)²

or 1/x². = 2/(d-x)²

or (d-x)² = 2x²

or d-x = ±√2*x

or d = ±√2*x+x

or x(±√2+1) = d

or x= d/(±√2+1)

or x= d/(√2+1) or d / (-√2+1)

where x is distance from 'm' body...

There are 2 points where gravitational force is 0...


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Hope this will help you...