For the moon to cease to remain the earth's satellite, its orbital velocity has to increase by a factor of
For the moon to cease to remain the earth's satellite, its orbital velocity has to increase by a factor of
$2$
$\sqrt 2 $
$1/\sqrt 2 $
$\sqrt 3 $
For the moon to cease to remain the earth's satellite, its orbital velocity has to increase by a factor of
${v_e} = \sqrt 2 \,{v_0},$ i.e. if the orbital velocity of moon is increased by factor of $\sqrt 2 $ then it will escape out from the gravitational field of earth.
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