14. Distance between earth and moon is 3.8 x 10 km and the mass of earth is 81 times the
mass of the moon. Find the CM of earth moon system lies.
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Let at the point P the net gravitational force be zero.
Let,M=mass of the Earth
m=mass of the moon
m =mass of the object
M=81cm (given)
(R−r) 2Gmm
= r 2Gmm
=> (R−r) 281 = r 2
=> {(3.8×10 5 )−r} 281 = r 21
Solving,we get ,r=3.8×10 7 m
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