Question

mass of the earth is 81times of the mass of the moon. the distance between the earth and the moon is 4 * 100000 km. calculate the position of the point on the line joining the centre's of the earth and moon where the gravitational field is zero.?​

Answer 1

Answer:

ANSWER

Let m be the mass at a distance x from the centre of the moon where gravitational force is zero.

∴

(60R−x)

2

GM

e

m

=

x

2

GM

moon

m

or

(60R−x)

2

81

=

x

2

1

or

60R−x

9

=

x

1

orx=6R