[See Solution] The escape velocity v a spacecraft needs to leave the gravitational field of a planet varies directly as the square root of the product of the


Question: The escape velocity v a spacecraft needs to leave the gravitational field of a planet varies directly as the square root of the product of the planet’s radius R and its acceleration due to gravity g. For Mars and Earth:

\[{{R}_{m}}=0.533{{R}_{e}}\text{ and }{{g}_{m}}=0.400{{g}_{e}}\]

Find \[{{v}_{m}}\] for Mars if the escape velocity for earth, \[{{v}_{e}}=11.2\text{ km/s}\]

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