Question

Two objects attract each other with force F when separation between them is r. If masses of both the objects are doubled,

what should be the separation so that they still attract with force F?​

Answer 1

Given,

Two objects attract each other with a force F when seperation between them is r.

To find,

the seperation between them when masses of both the objects are doubled but they still attract with the force F.

let m₁ and m₂ are the masses of two given objects.

from Newton's gravitation law,

F = Gm₁m₂/r² ..........(1)

now m₁' = 2m₁ , m₂' = 2m₂ and F' = F

so, F' = Gm₁'m₂'/r'²

⇒ F = G(2m₁)(2m₂)/r'² = 4Gm₁m₂/r'²

from equation (1) we get,

1/r² = 4/r²

⇒r' = 2r

therefore seperation between them will be doubled.

Answer 2

Answer:

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