The ratio of the K.E. required to be given to the satellite to escape earth's gravitational field to the K.E. required to be given so that the satellite moves in a circular orbit just above earth atmosphere is
Text Solution
Verified by ExpertsB
K.E. required for satellite to escape from earth's gravitational field
$\frac{1}{2}m_{e}^{2} = \frac{1}{2}m \left(\sqrt{\frac{2GM}{R}}\right)^{2} = \frac{GMm}{R}$
K.E. required for satellite to move in circular orbit
$\frac{1}{2} m v_0^2 = \frac{1}{2} m \left(\sqrt{\frac{GM}{R}}\right)^2 = \frac{GMm}{2R}$
The ratio between these two energies = 2
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems