The gravitational force between two objects is 49 N.How much must the distance between these objects be decreased so the the force between them becomes dounle. →TOPIC-GRAVITATION →CLASS -9 ALL THE BEST
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distance between the objects should be decreased by √2 times
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F = G m1 × m2/r² …(1)
Let new distance is R and then force is 2F,
We get, 2F = G m1 × m2/R²…(2)
Dividing equation (2) by (1)
2 = r²/R²
R² = r²/2
R = r/√2
Hence decrease in distance = r-r/√2 = r (√2 - 1)/√2
hope it helps you
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