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PRACTICE / Escape speed

Escape from a small world

A spherical airless body has surface gravity 2 m/s² and radius 1000 m.

Find its surface escape speed.

Organize the givens & assumptions
  • g = 2 m/s²
  • R = 1000 m

Spherical nonrotating airless body; launch from surface, no later thrust or losses; zero potential at infinity.

  1. A2010 m s−120\sqrt{10}\ \mathrm{m\,s^{-1}}
  2. B205 m s−120\sqrt5\ \mathrm{m\,s^{-1}}
  3. C4000 m s−14000\ \mathrm{m\,s^{-1}}
  4. D2 m s−12\ \mathrm{m\,s^{-1}}

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