The gravitional force between two masses at a distance of 6.4 × 10^6m is 500 N. What should be the distance between them to increase the gravitational force by two times ?
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Answer:
4.5 × 10⁶ m
Explanation:
F = -Gm1M2/R²
F1 = Gm1M2/R1²
F2 = Gm1M2/R²
since F2 = 2F1
1/R2² = 2/R1²
R2 = R1/√2 =0.707R1
R1 = 6.4 × 10⁶m
R2 = 0.707 × 6.4 × 10⁶m = 4.5 × 10⁶ m
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