Question

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.

Answer 1

Answer:

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