If the distance between the centres of earth and moon is D and mass of earth is 81 times that of moon. At what distance from the centre of earth gravitational field will be zero.
D2
2D2
4D2
9D10
A
D2
B
9D10
C
2D2
D
4D2
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Solution
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Given:
Mm=mMe=81m
Let the distance x from earth where gravitational field is zero.
Then,
G8mx2=Gm(D−x)2
xD−x=9
x=910D
Answer is 910D
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