Find the distance of a point from the earthís centre where the resultant gravitational field due to the earth and the moon is zero. The mass of the earth is 6.0 ◊ 1024 The distance between the earth and the moon is 4.0 ◊ 105
kg and that of the moon is 7.4 ◊ 1022 km.
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The net gravitaional force due to both would be zero then after.
Hence
gravity Earth + gravity moon = 0
Gm/(x^2)+ GM/(D-x)^2 = 0
Aand given M = 81m
We get,
Gm/(x^2) + 81Gm/(D-x)^2
1/x = 9/(D-x)
9x = D-x
10x = D
x = D/10
10x = D
x = D/10
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