Mass of the earth is 81 times the mass of the moon and distance between the earth and moon is 60 times the radius of the earth. If R is radius of the earth, then the distance between moon and the point on the line joining the moon and the earth where the gravitation force becomes zero is

30R

15R

6R

5R

A

30R

B

15R

C

6R

D

5R

Open in App

Solution

Verified by Toppr

Let m be the mass at a distance x from the centre of the moon where gravitational force is zero. ∴GMem(60R−x)2=GMmoonmx2or81(60R−x)2=1x2or960R−x=1xorx=6R

Was this answer helpful?

12

Similar Questions

Q1

Mass of the earth is 81 times the mass of the moon and distance between the earth and moon is 60 times the radius of the earth. If R is radius of the earth, then the distance between moon and the point on the line joining the moon and the earth where the gravitation force becomes zero is

View Solution

Q2

If the mass of moon is M/81 where M is the mass of earth, find the distance of the point from the moon, where gravitational field due to earth and moon cancel each other. Given that distance between earth and moon is 60R where R is the radius of earth.

View Solution

Q3

If the distance between centers of earth and moon is D and the mass of earth is 81 times the mass of moon, then at what distance from centre of earth the gravitational force will be zero

View Solution

Q4

Knowing that mass of Moon is M81 where M is the mass of Earth, find the distance of the point where gravitational field due to Earth and Moon cancel each other, from the Moon. Given that distance between Earth and Moon is 60 R. Where R is the radius of Earth

View Solution

Q5

The point at which the gravitational force acting on any mass is zero due to the Earth and the Moon system is (The mass of the Earth is approximately 81 times the mass of the Moon and the distance between the Earth and the Moon is 3,85,000km.)