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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.`
3 years ago

## Answers : (5)

Vikas TU
9795 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 = 0Aand given M = 81mWe get,Gm/(x^2) + 81Gm/(D-x)^21/x = 9/(D-x)9x = D-x10x = Dx = D/1010x = Dx = D/10
```
3 years 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
```
2 years ago
prakash
13 Points
```							Mass of Earth is 81times of moon So here is the equationGM(Mass of Earth )/x =Gm(Mass of moon )/(D-x) me G×81m /x = GM /(D-x)After solving the equation You will get,9D/10 (answer)
```
one year ago
Nancy bachwani
13 Points
```							The gravitation will be zero if F1+F2=0 or F1=F2Given that the mass of earth is 81 times the mass of moon Therefore we have :GM/(D-x)^2=G.81M/x^2By solving we get 9D/10 as ansThank you
```
one year ago
Shweta
13 Points
```							Force will be zero at the x distance from the earth and (D-x) distance from the moon .So by given information we can write the following equation ::GMm/x^2=GMm/81×(D-x)^2Solving this expression we get ,x=9D/10
```
7 months ago
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