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The gravitational force between two object is 100N. How should the distance between these object be changed so that force between them becomes 50N.

Answer» Correct Answer - `sqrt(2)` times
Here, `F_(1)=100 N, F_(2)=50N`
If `r_(1)` is the original distance and `r_(2)` is the new distance between the two object, then as `F prop 1//r^(2)`,
`(F_(1))/(F_(2))=(r_(2)/r_(1))^(2) =100/50=2 or r_(2)/r_(1)=sqrt2, r_(2)=sqrt2r_(1)`
distance between the objects should be increased to `sqrt2` times


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