What is the ratio of the escape speed of Mars to that of the Earth, ( Mearth = 9.31*Mmars; Rearth=1.88*RMars)
A) 0.23 (B) 0.45 (C) 0.66 (D) 0.20
vearth = sqrt(2GM/r)
M(mars) = (1/9.31) * M(earth) = 0.107 M(earth)
r(mars) = (1/1.88) * r(earth) = 0.531 r(earth)
vmars = sqrt(2GM(0.105)/[r*0.531])
vmars = sqrt(0.105/0.531) * vearth
=> vmars = sqrt(0.105/0.531) * vearth
=> vmars = 0.45 * vearth
Hence, OPTION B
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