A satellite is to revolve round the earth

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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......... $km/s$

A

$3$

B

$16$

C

$7.15$

D

$8$

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 $

$= 7.15\,km/s$