What changes will arise in force of gravitation between the masses, if the distance between them is doubled?
When d is doubled, the gravitational force will become one fourth.
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Dear Student,
◆ Answer -
Gravitation force between two masses is reduced to 1/4th if distance is doubled.
● 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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