The space shuttle releases a satellite into a circular orbit 535 km above the Earth. How fast must the shuttle be moving (relative to Earth) when the release occurs? Express your answer using three significant figures and include the appropriate units.
The space shuttle releases a satellite into a circular orbit 535 km above the Earth. How fast must the shuttle be moving (relative to Earth) when the release occurs? Express your answer using three significant figures and include the appropriate units.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.27P
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Question
The space shuttle releases a satellite into a circular orbit 535 km above the Earth.
How fast must the shuttle be moving (relative to Earth) when the release occurs?
Express your answer using three significant figures and include the appropriate units.
Expert Solution
Step 1
Given data:
The distance of the satellite above the earth is,
h =535 km
The radius of the earth is,
r = 6371 km
Formula used:
The orbital velocity of the satellite is,
Where,
G - Universal gravitational constant = 6.67408 × 10-11 m3 kg-1 s-2
M- Mass of the earth =
R- Distance of the satellite from the center of the earth
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