Three uniform spheres each of mass m and diameter D are kept in such a way that each touches the other two, then magnitude of the gravitational force on any one sphere due to the other two is
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a
3Gm2D2
b
23Gm2D2
c
3Gm24D2
d
3Gm2D2
answer is D.
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Detailed Solution
Gravitational force on one sphere due to the other two is F=F12+F22+2F1F2Cosθ=3F1But F1=Gm2D2⇒F=3Gm2D2 ∵F1=F2
Three uniform spheres each of mass m and diameter D are kept in such a way that each touches the other two, then magnitude of the gravitational force on any one sphere due to the other two is