Grade 12Mechanics

A RESEARCH SATELLITE OF MASS 200 KG CIRCLES IN AN ORBIT of averge radius of 3R/2 WHERE R is the radius of the earth. Aasuuming that the gravitational pull on the mass of 1 kg on the earth's surface is 10N, the pull on the satelite is --------------

rajan jha

15 Years agoGrade 12

2 Answers

vikas askiitian expert

Approved Tutor Answer15 Years ago

accleration due to gravity at surface(g_s)= GM/R²

accleration due to gravity at a height (g_h) = GM/(R+H)²

force on a particle of 1kg at surface = mGM/R² =GM/R² = 10N ......1 (given)

force on satellite of mass 200kg at a height H = mGM/(R+H)²

F = 200GM/(R+H)² .............2

dividing 2 by 1

F/10 = 200/(1+H/R)²

=2000(4/25) (H=3R/2)

=320N

sriram

10 Years ago

let us take mass of earth as Me then 10=GMe.1/R^2 -----1

now mass of satellite =200 kg let us take force on it as F then,

F=GMe.200/(3R/2)^2-------2

dividing 2by 1

F/10=200/9/4

F/10=800/9 hence f=8000/9=888.8=889N

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A RESEARCH SATELLITE OF MASS 200 KG CIRCLES IN AN ORBIT of averge radius of 3R/2 WHERE R is the radius of the earth. Aasuuming that the gravitational pull on the mass of 1 kg on the earth's surface is 10N, the pull on the satelite is --------------

rajan jha

2 Answers

vikas askiitian expert

sriram

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