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
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