The magnitude of gravitational force between two objects having masses ml and m2 separated by distance "r" is F. What change will make the magnitude of gravitational force
nine times the original magnitude? (objects' masses are fixed)
A) distance between the objects is tripled.
B) distance between the objects is doubled.
C) distance between the objects becomes one third of the original distance.
D) distance between the objects decreases to one fourth of the original distance.
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C) distance between the objects becomes one third of the original distance
Explanation:
As we know
Gravitational force = 1/r^2
When distance becomes one third of the original
Then
Gravitational force = 1 / (r/3)^2
= 1 / r^2 / 9
Gravitational force = 9/ r^2
- The Gravitational force becomes Nine times the original force when the distance becomes one third of original distance.
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