The planet Mars may be considered to be an isolated sphere of radiu...

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The planet Mars may be considered to be an isolated sphere of radius \( 3.395 \times 10^{6} \mathrm{~m} \) with its mass of \( 6.42 \times 10^{23} \mathrm{~kg} \) concentrated at its centre. A rock of mass \( 1 \cdot 40 \mathrm{~kg} \) rests on the surface of Mars.

Use the information to determine the speed at which the rock must leave the surface of Mars, so that it will escape the gravitational attraction of the planet.
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