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. 889N
B. 89 N
C. 8889 N
D. 8.9 N

Answer

A

Explanation

`g_(h) = g (1 - (2h)/(R)) = (4g)/(h) ("since h = R "+ (3R)/(2))`
Force on the satellite = `mg_(h) = (4)/(9)` mg
` = (4)/(9) xx 200 xx 10 approx 889` N