How is the gravitational force between two masses affected if the separation between them is doubled?
ICSE Class 9 Physics Chapter Newton's Law of Motion
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Answer:
the gravitational force between two masses becomes 1/4rth when the distance between them is doubled.
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Dear Student,
◆ Answer -
F' = F/4
● Explaination -
Consider two bodies with masses m1 and m2 at distance r from each other.
Gravitational force acting on the bodies is given by -
F = Gm1m2/r²
When distance is doubled -
F' = Gm1m2/(2r)²
F' = Gm1m2/4r²
F' = (Gm1m2/r²)/4
F' = F/4
Therefore, gravitation force between two masses is reduced to 1/4th if distance is doubled.
Hope this helps you..
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