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Question
The gravitational force between two objects is F. If masses of both objects are halved without changing distance between them, then the gravitational force would become
Options
`"F"/4`
`"F"/2`
F
2F
Solution
`"F"/4`
Explanation:
Let the masses of two objects be ml
and m2 placed at d distance apart.
so, F = `"G"("m"_1"m"_2)/"d"^2`
When the masses of two objects are halved,
`"F'" ="G"("m"_1/2. "m"_2/2)/"d"^2`
= `"G"("m"_1/2. "m"_2/2)/(4"d"^2)`
= `"F"/4`
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