A satellite is to revolve round the earth in a circle of radius $8000\, km$. The speed at which this satellite be projected into an orbit, will be......... $km/s$
$3$
$16$
$7.15$
$8$
A satellite is to revolve round the earth in a circle of radius $8000\, km$. The speed at which this satellite be projected into an orbit, will be......... $km/s$
${v_0} = \sqrt {\frac{{GM}}{r}} $
$= \sqrt {\frac{{g{R^2}}}{r}} $
$= \sqrt {\frac{{10 \times {{(64 \times {{10}^5})}^2}}}{{8000 \times {{10}^3}}}} $
$ = 71.5 \times {10^2}\,m/s $
$= 7.15\,km/s$
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