Question

What would be the escape velocity from the moon, if the mass of the moon is 7.4 x 10²² kg and its radius is 1740 km? [UK PMT 2015]

Moderate

Solution

The escape velocity is given by
$v_{e} = \sqrt{\frac{2 G M}{R}}$ (By putting value)
$v_{e} = \sqrt{\frac{2 \times 667 \times 10^{- 11} \times 7.4 \times 10^{22}}{1740 \times 10^{3}}} = 24 {kms}^{- 1}$

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