Two bodies of mass M and m are placed at a distance ‘2d’. The force on the body of mass ‘m’. When a mass ‘2M’ is kept midway between them is.
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a
F=94Gm2d2along AC
b
F=94Gm2d2along CA
c
F=94GMmd2along AC
d
F=94GMmd2along CA
answer is D.
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Detailed Solution
universal gravitation constant=G; mass=m; distance=r; Force=Gm1m2(distance)2 Force on ‘m’ due to 2M isF1=Gm×2Md2 along CB Force on ‘m’ due to M isF2=Gm×M4d2 along CA∴F=F1+F2=GMmd22+14=94GMmd2 along CA