Why do different planets have different escape velocities? - Vidyadip

Question

Why do different planets have different escape velocities?

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Answer

Escape velocity, $\text{v}=\sqrt{2\text{gR}}=\sqrt{\frac{2\text{GM}}{\text{R}}}.$
Thus escape velocity of a planet depends upon (i) its mass (M) and (ii) its size (R). As different planets have different masses and sizes, so they have different escape velocities.

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