The radius of the moon is approximately 3.7 times smaller than the radius of the earth. Assuming that their densities are same, what is the escape velocity of the moon compared to earth?

The radius of the moon is approximately 3.7 times smaller than the radius of the earth. Assuming that their densities are same, what is the escape velocity of the moon compared to earth? Correct Answer 0.07 times

Escape velocity (v) = 1/2 Mass of moon = (Density) x (Volume) = (Density) x (Volume of the earth)/50.65; Vmoon/vearth = 1/2 = ½ = 0.07 Therefore; Vmoon = 0.07 (vearth).
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