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 on the satellite will be

Options

A. 880N
B. 889N
C. 890N
D. 892N

Answer

B

Explanation

`(g_h)/(g) = (R^2)/((R + h)^2) " or " (mg_h)/(mg) = (R^2)/((R + R/2)^2) = 4/9`
or `mg_h = 4/9 mg = 4/9 xx 200 xx 10 = 8000/9 N= 888.88 N =889 N`