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WAEC Physics 2017 Theory — Question 10

Question 10 of 33 from the West African Examinations Council (WAEC) Physics 2017 Theory paper, with the correct answer and a full explanation.

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8(b) If the distance between two equal masses is doubled and their individual masses are also doubled, what would happen to the force between them? Support your answer quantitatively.

Model answer

From F=Gm1m2/r². At first instance: F1=Gm1m2/r1². At second instance, r2=2r1, m1'=2m1 and m2'=2m2: F2=G(2m1)(2m2)/(2r1)² = G x 4m1m2/4r1² = Gm1m2/r1². Therefore F2=F1: the force of attraction between them will still be the same.

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