GravitationHard
Question
If the mass of moon is 
, where Mis 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
, where Mis 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 earthOptions
A.4R
B.8R
C.6R
D.2R
Solution
Let at a distance x from the earth, field equalises each other. So, applying Newton′s law of gravitation
⇒
x = 540R - 9x ⇒ 10x = 540R
x = 54R;
Distance of point from moon = 60R - 54R = 6R
⇒
x = 540R - 9x ⇒ 10x = 540R
x = 54R;
Distance of point from moon = 60R - 54R = 6R
Create a free account to view solution
View Solution FreeMore Gravitation Questions
A particle is projected vertically upwards the surface of the earth (radius Re) with a speed equal to one fourth of esca...Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projectedfrom the midpoint of t...The condition for a uniform spherical mass m of radius r to be a black hole is :[G =gravitational constant and g = accel...A tunnel is dug along a chord of the Earth at a perpendicular distance R/2 form the Earth′s centre. The wall of th...A geostationary satellite orbit s arround the earth in a circular orbit of radius 36000 km. Then, the time period of a s...