1. Tardigrade
  2. Question
  3. Physics
  4. The little prince (the main character of the novel written by Antoine de Saint-Exupery) lives on the spherical planet named B-612, the density of which is 5200 kg/m3. The Little Prince noticed that if he quickens his pace, he feels himself lighter. When he reached the speed of 2 m/s he became weightless, and began to orbit about the planet as a satellite. What is escape speed on the surface of planet?

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Q. The little prince (the main character of the novel written by Antoine de Saint-Exupery) lives on the spherical planet named $B-612$, the density of which is $5200 \,kg/m^3$. The Little Prince noticed that if he quickens his pace, he feels himself lighter. When he reached the speed of $2 \,m/s$ he became weightless, and began to orbit about the planet as a satellite. What is escape speed on the surface of planet?

Gravitation

Solution:

Orbital speed $v_0 =\sqrt{\frac{Gm}{R}} 2 = \sqrt{\frac{Gm}{R}}$
Hence escape speed $v_e = \sqrt{\frac{2Gm}{R}}$
$ = 2\sqrt{2}\,m/s$