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If mass of moon =0.013 mass of earth, Distance between centres of masses of moon and earth is 60 times the radius of earth,then how do I get the position of centre of mass of moon and earth in terms of radius of earth

If mass of moon =0.013 mass of earth,
Distance between centres of masses of moon and earth is 60 times the radius of earth,then how do I get the position of centre of mass of moon and earth in terms of radius of earth

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Grade:12th pass

1 Answers

Arun
25750 Points
5 years ago
 
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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