Question

Calculate the gravitational force between two objects when distance between them is doubled?​

Answer 1

Explanation:

Case (ii) : Distance between the objects is doubled i.e r′=2r. ∴ F′=(2r)2Gm1m2 ⟹F′=4F. Thus gravitational force gets reduced by 4 times.

Distance between the objects is tripled i.e r′=3r. ∴ F′=(3r)2Gm1m2 ⟹F′=9F. ...

Case (iii) : Mass of both the objects are doubled i.e m1′=2m1 and m2′=2m2. ∴ F′=r2G(2m1)(2m2) ⟹F′=4F.

Answer 2

1.Case (ii) : Distance between the objects is doubled i.e r′=2r. ∴ F′=(2r)2Gm1m2       ⟹F′=4F. Thus gravitational force gets reduced by 4 times.

2.Distance between the objects is tripled i.e r′=3r. ∴ F′=(3r)2Gm1m2 ⟹F′=9F.

3.Case (iii) : Mass of both the objects are doubled i.e m1′=2m1 and m2′=2m2. ∴         F′=r2G(2m1)(2m2) ⟹F′=4F.

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