The distance between centre of the earth a

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The distance between centre of the earth and moon is $384000\, km$. If the mass of the earth is $6 \times {10^{24}}kg$ and $G = 6.66 \times {10^{ - 11}}\,N{m^2}/k{g^2}$. The speed of the moon is nearly......... $km/sec$

A

$1$

B

$4$

C

$8$

D

$11.2$

The distance between centre of the earth and moon is $384000\, km$. If the mass of the earth is $6 \times {10^{24}}kg$ and $G = 6.66 \times {10^{ - 11}}\,N{m^2}/k{g^2}$. The speed of the moon is nearly......... $km/sec$

$v = \sqrt {\frac{{GM}}{r}} $

$= \sqrt {\frac{{6.67 \times {{10}^{ - 11}} \times 6 \times {{10}^{24}}}}{{384000 \times {{10}^3}}}} $

$= 1\,km/s$