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mass of body a is Ma=2kg
mass of body b is Mb=4kg
mass of body c is Mc=1kg
separation between a and b =2m
let the body can be placed at a distance do from the body A
the gravitational forces between A and C
FAC=GMaMc/d^2= G×2×1/d^2=2G/d^2______eq1
the gravitational force between B and C
FBC=GMbMc/d^2=G×4×1/(2-d)^2=4G/(2-d)^2G
for body C gravitational force =0
hence FAC=FAC
2G/D^2=4G/(2-D)^2G
(2-D)^2=2D^2
2-D=Underroot 2d
underoot 2+1d =2
d=0.83 m
HOPE IT WILL HELP U
mass of body b is Mb=4kg
mass of body c is Mc=1kg
separation between a and b =2m
let the body can be placed at a distance do from the body A
the gravitational forces between A and C
FAC=GMaMc/d^2= G×2×1/d^2=2G/d^2______eq1
the gravitational force between B and C
FBC=GMbMc/d^2=G×4×1/(2-d)^2=4G/(2-d)^2G
for body C gravitational force =0
hence FAC=FAC
2G/D^2=4G/(2-D)^2G
(2-D)^2=2D^2
2-D=Underroot 2d
underoot 2+1d =2
d=0.83 m
HOPE IT WILL HELP U
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