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The gravitational attraction between two bodies is F newton. If the mass of each body is doubled and the separation between them is also doubled, the new gravitational force (in newton) is

1. 16 F
2. F/16
3. F/4
4. F

Correct answer: F

Solution

F = G m1 m2 / r². Doubling each mass multiplies the numerator by 2*2 = 4. Doubling r multiplies the denominator by 4. Net factor = 4/4 = 1, so the force is unchanged at F.

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