Gravitation Question 349

Question: For a satellite orbiting in an orbit, close to the surface of earth, to escape, what is the percentage increase in the kinetic energy required?

Options:

A) 41%

B) 61%

C) 81%

D) 98%

Show Answer

Answer:

Correct Answer: A

Solution:

  • Orbital velocity for close to earth orbits $ [=\sqrt{gR}] $ .

    Escape velocity required $ [=\sqrt{2gR}] $ .

    % Increase required $ [=\frac{v_{e}-v_{0}}{v_{0}}\times 100] $

    $ [=\frac{\sqrt{gR}\left( \sqrt{2}-1 \right)}{\sqrt{gR}}\times 100=41] $ %



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