A sphere of mass 4O kg is attracted by a second sphere of mass 15 kg,their centres are 2O cm apart, with a force of 0.1 milligram weight. Calculate the value of gravitational constant.
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Gravitational force on a mass m at a distance x from 16 kg mass is
x
2
16Gm
.
Gravitational force on the mass due to 4kg in the opposite direction is
(30−x)
2
4Gm
For net force to be zero on the mass,
x
2
16Gm
=
(30−x)
2
4Gm
⟹x=20 m
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