Given mass of the moon is $1/81$ of the mass of the earth and corresponding radius is $1/4$ of the earth. If escape velocity on the earth surface is $11.2\, km/s$, the value of same on the surface of the moon is......... $km/sec$
Given mass of the moon is $1/81$ of the mass of the earth and corresponding radius is $1/4$ of the earth. If escape velocity on the earth surface is $11.2\, km/s$, the value of same on the surface of the moon is......... $km/sec$
$0.14$
$0.5$
$2.5$
$5$
Given mass of the moon is $1/81$ of the mass of the earth and corresponding radius is $1/4$ of the earth. If escape velocity on the earth surface is $11.2\, km/s$, the value of same on the surface of the moon is......... $km/sec$
On earth ${v_e} = \sqrt {\frac{{2GM}}{R}} = 11.2\,\,km/s$
On moon ${v_m} = \sqrt {\frac{{2GM \times 4}}{{81 \times R}}} = \frac{2}{9}\,\sqrt {\frac{{2GM}}{R}} $
$ = \frac{2}{9} \times 11.2 = 2.5\,\,km/s$
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