The distance between centers of moon and earth is D. The mass of the earth is 64 times the mass of the moon. At what distance from the centre of moon, the gravitational force will be zero
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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
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
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