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

Question

A research satellite of mass 200kg circles the earth in an orbit radius (3 RE/2), where RE is the radius of the earth. Assuming the gravitational pull on a mass of 1kg on the earth's surface to be 10N, the pull on the satellite will be : (A) 890N (B) 889N (C) 885N (D) 892N

Tardigrade Admin · Accepted Answer

F=(GME × 1/RE2) ...(1) Force between earth and mass 1kg. Force between earth and satellite is F'=((GM)E × 200/((3)2 RE)2) ...(2) (F'/F)=(8 w/9)⇒ F'=(8 w/9)F =(8 W/9)× 10N=889N

Q. A research satellite of mass $200 k g$ circles the earth in an orbit radius $\frac{3 R _{E}}{2},$ where $R_{E}$ is the radius of the earth. Assuming the gravitational pull on a mass of $1 k g$ on the earth's surface to be $10 N,$ the pull on the satellite will be :

$890 N$

$889 N$

$885 N$

$892 N$

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

890N

889N

885N

892N

F=RE2​GME​×1​ ...(1) Force between earth and mass 1kg. Force between earth and satellite is F′=(23​RE​)2(GM)E​×200​ ...(2) FF′​=98w​⇒F′=98w​F =98W​×10N=889N

Q. A research satellite of mass $200 k g$ circles the earth in an orbit radius $\frac{3 R _{E}}{2},$ where $R_{E}$ is the radius of the earth. Assuming the gravitational pull on a mass of $1 k g$ on the earth's surface to be $10 N,$ the pull on the satellite will be :

$890 N$

$889 N$

$885 N$

$892 N$