3. What happens to the gravitational force between two objects when the
distance between them is :
[1]
(i) doubled?
(i) halved?
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Explanation:
i) When distance is doubled:
As F=GmM/r^2
F= GmM/(2r)^2
F = GmM/4r^2
F = 1/4(GmM/r^2)
F=1/4F
The gravitational force is decreased four times.
ii) When distance is halved:
As F=GmM/r^2
F=GmM/(1/2r)^2
F=GmM/1/4r^2
F=4(GmM/r^2)
F=4F
The gravitational force is increased four times.
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