What happened to the gravitational force between two objects when the distance between them is
(a) doubled
(b) halved
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7
When the distance is doubled force increases to 4 times...... That is the ans.. For (A)....
when distance is halved the force reduces to its 1/4 th..... That is the ans.. For (B)
when distance is halved the force reduces to its 1/4 th..... That is the ans.. For (B)
Answered by
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Gravitational force is inversely proportional to the square of distance between the objects.
(a) when distance is doubled
F = 1/ d^2
F = 1/ (2d) ^2
F = 1/ 4d^2
So, force reduces to 1/4 th
(b) when distance is halved
F = 1/ d^2
F = 1/ (d/2)^2
F = 1/ d^2 /4
F = 4/d^2
So, force increases 4 times
(a) when distance is doubled
F = 1/ d^2
F = 1/ (2d) ^2
F = 1/ 4d^2
So, force reduces to 1/4 th
(b) when distance is halved
F = 1/ d^2
F = 1/ (d/2)^2
F = 1/ d^2 /4
F = 4/d^2
So, force increases 4 times
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