Question

What will happen to the gravitational force between 2 bodies if they are brought closer by half of their initial separation?

Answer 1

we know F = product of two masses/square of distance between them.

therefore F1 = m1.m2/r²

now we half the distance.

new force F2 = m1.m2/ (r/2)²

= m1.m2/ r²/4

= 4 × m1.m2/r²

= 4 × F1

therefore force will be 4 times the original

Answer 2

Answer:

Increases 4 times

Explanation:

F = Gm1m2/r^2               ---1

when distance is reduced to half,

r₀ = r/2

F₀ = Gm1m2/r₀^2

    = Gm1m2/(r/2)^2

    = Gm1m2/r^2/4

F₀ = 4Gm1m2/r^2          ---2

Therefore,

Gm1m2/r^2 = F

Comparing 1 and 2

F₀ = 4Gm1m2/r^2

F₀ = 4F

Hence, the new force will be 4 times the original force.

Hope this answer helps you.

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