A research satellite of mass `200 kg` circles the earth in an orbit of average radius `3 R//2`, where `R` is the radius of the earth. Assuming the gravitational pull on the mass of `1 kg` on the earth's surface to be `10 N`, the pull (in Newton) on the satellite will be

Answer

889

Explanation

`E` on the surface of earth,
`E_(1) = (F)/(m) = (10)/(1)`
`= 10 N//kg`
`E prop (1)/(r^(2))`
`:. (E_(2))/(E_(1)) = (r_(1)/(r_(2))) ^(2) = ((R )/(3R//2))^(2) = (4)/(9)`
`:. E_(2) = (4)/(9) E_(f) = (40)/(9) N//kg`
`F_(2) = mE_(2) = (200)((40)/(9)) = 889 N`