a satellite of mass 100 gram has to be set revolving round the earth at a height of 1600km from the surface of the earth.What is the minimum work required
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Here, h=500km=0.5×106m,
R=6.5×106m.
r=R+h=6.5×106+0.5×106
=7.0×106m.
(a) Now, g'=g(RR+h)2
=9.8(6.5×1067.0×106)2=8.45ms−2
(b) Centripetal force on the satellite,
F=mυ2/r
∴ centripetal acceleration,
a=Fm=υ2r=(gR2/r−−−−−−√)2r
=gR2r2=g.R2(R+h)2=8.45ms−2
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