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] $ %
