If the distance between centres of the earth and the moon is d and the mass of the earth is 81 times the mass of the moon, then at what distance from centre of the earth, the gravitational field will be zero?
d2
d9
9d10
d10
A
9d10
B
d2
C
d10
D
d9
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Solution
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Lets assume there is a particle of mass m from x distance away from earth. assuming gravitational force on m is zero so :-. Force balance (Gm81M)x2 = (GmM)(d−x)2 81x2 = 1(d−x)2 x9 = d−x1 solving above wquation we will get x=9d10
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