Gravitational force between two masses m1 and m2 separated by a distance r in air is F. What is the gravitational force between these masses separated by the same distance r in vacuum?
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Answer:
Correct option is
A
F=4F.
a. If r is the distance between two point masses m and M, then the gravitational force on m due to mass M is F = GMm/r
2
. Since the gravitational force between two point masses is independent of the presence of other masses, so if a point mass 3m is placed next to m, the force on M due to m is F=
r
2
GMm
b. Total force on the body of mass M is F, i.e.,
F=
r
2
GM×(m+3m)
=
r
2
4GMm
=4F.
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