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/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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a

42 m/s

b

2 m/s

c

22    m/s

d

82    m/s

answer is A.

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Detailed Solution

detailed_solution_thumbnail

Orbital speed v0 = GmR  

Hence escape speed ve = 2GmR =22 m/s

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