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(C) The orbital speed $v_0$ of a satellite is given by the formula $v_0 = \sqrt{\frac{GM}{r}}$.Using the relation $GM = gR^2$,where $g = 10\, m/s^2$ a

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$7.15$

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(C) The orbital speed $v_0$ of a satellite is given by the formula $v_0 = \sqrt{\frac{GM}{r}}$.Using the relation $GM = gR^2$,where $g = 10\, m/s^2$ and $R = 6400\, km = 6.4 	imes 10^6\, m$,we get:$v_0 = \sqrt{\frac{gR^2}{r}}$Given $r = 8000\, km = 8 	imes 10^6\, m$:$v_0 = \sqrt{\frac{10 	imes (6.4 	imes 10^6)^2}{8 	imes 10^6}}$$v_0 = \sqrt{\frac{10 	imes 40.96 	imes 10^{12}}{8 	imes 10^6}}$$v_0 = \sqrt{51.2 	imes 10^6} \approx 7155\, m/s$$v_0 \approx 7.15\, km/s$.

$A$ satellite is to revolve around the Earth in a circle of radius $8000\, km$. The speed at which this satellite must be projected into an orbit will be......... $km/s$.

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