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

Question

A research satellite of mass 200 kg circles the earth in an orbit of average radius (3R/2) where R is the radius of earth. Assuming the gravitational pull on a mass of 1 kg on the earths surface to be 10 N, the pull on the satellite will be (A) 880 N (B) 889 N (C) 885 N (D) 892 N

Tardigrade Admin · Accepted Answer

On earth, mg = 10 or 1× g=10⇒ g=10 ms-2 Now, g=g(R2/r2)=10× (R2/(3R/2)2)=(40/9) Pull on satellite =mg =200× (40/9)=889 N

Q. A research satellite of mass 200 kg circles the earth in an orbit of average radius $\frac{3 R}{2}$ where R is the radius of earth. Assuming the gravitational pull on a mass of 1 kg on the earths surface to be 10 N, the pull on the satellite will be

880 N

889 N

885 N

892 N

On earth, mg = 10 or $1 \times g = 10 \Rightarrow g = 10 m s^{- 2}$ Now, $g = g \frac{R ^{2}}{r ^{2}} = 10 \times \frac{R ^{2}}{( 3 R /2 ) ^{2}} = \frac{40}{9}$ Pull on satellite $= m g$ $= 200 \times \frac{40}{9} = 889 N$

Q. A research satellite of mass 200 kg circles the earth in an orbit of average radius 23R​ where R is the radius of earth. Assuming the gravitational pull on a mass of 1 kg on the earths surface to be 10 N, the pull on the satellite will be