If three uniform spheres, each having mass M and radius R, are kept in such away that each touches the other two, the magnitude of the gravitational force on any sphere due to the other two is
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a
GM24r2
b
2GM2r2
c
2GM24r2
d
3GM24r2
answer is D.
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Detailed Solution
F→=F→1+F→2 As F→1=F→2∴ |F→|=2F1cos30∘ =2GM2(2r)232=34GM2r2
If three uniform spheres, each having mass M and radius R, are kept in such away that each touches the other two, the magnitude of the gravitational force on any sphere due to the other two is