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प्रश्न
What happens to the force between two objects, if the distance between the objects is doubled and tripled?
उत्तर
If the distance between the two objects is doubled, then
F'' = `(Gm_1m_2)/(2R^2)`
= `1/4 xx (Gm_1m_2)/(R^2)`
= `1/4` F
= `F/4`
Thus, the gravitational force between the two objects becomes one-fourth.
If the distance between the two objects is tripled, then
F′′′ = `(Gm_1m_2)/(3R)^2`
= `1/9 xx (Gm_1m_2)/R^2`
= `1/9 xx F`
= `F/9`
Thus, the gravitational force between the two objects becomes one-ninth.
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