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Grade: 11
        If the distance between 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, the gravitational field will be zero? Pls provide proper solution.
one year ago

Answers : (2)

Vikas TU
6869 Points
							
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
one year ago
Rochita
11 Points
							The net gravitation force on both will be zero.So, F1=F2      Gm/(D-x)^2 = G81m/x^2Now we get,      x/D-x = 9       x= 9D-9x       10x =9D          x= 9D/10
						
9 months ago
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