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(A) The orbital speed $v$ of a satellite (Moon) at a distance $r$ from the centre of the Earth is given by the formula: $v = \sqrt{\frac{GM}{r}}$.Give

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(A) The orbital speed $v$ of a satellite (Moon) at a distance $r$ from the centre of the Earth is given by the formula: $v = \sqrt{\frac{GM}{r}}$.Given:$G = 6.67 	imes 10^{-11} \, N m^2/kg^2$$M = 6 	imes 10^{24} \, kg$$r = 384000 \, km = 384000 	imes 10^3 \, m = 3.84 	imes 10^8 \, m$Substituting the values:$v = \sqrt{\frac{6.67 	imes 10^{-11} 	imes 6 	imes 10^{24}}{3.84 	imes 10^8}}$$v = \sqrt{\frac{40.02 	imes 10^{13}}{3.84 	imes 10^8}}$$v = \sqrt{10.42 	imes 10^5} \approx \sqrt{1.042 	imes 10^6}$$v \approx 1020 \, m/s$Converting to $km/s$:$v \approx 1.02 \, km/s \approx 1 \, km/s$.

The distance between the centre of the Earth and the Moon is $384000 \, km$. If the mass of the Earth is $6 \times 10^{24} \, kg$ and $G = 6.67 \times 10^{-11} \, N m^2/kg^2$,the orbital speed of the Moon is nearly ......... $km/s$.

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