The Moon's orbit around the Earth can be considered circular due to the low eccentricity of its orbit. Considering only the Moon's movement around the Earth (and disregarding the Moon's rotation around its own axis), knowing that the Moon takes 27 days to complete one revolution around the Earth, that the Earth-Moon distance is 384400 km and that the magnitude of its velocity is constant during the orbit, what is the magnitude of the acceleration of the center of the Moon?

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter13: Gravitation
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Problem 49P: The “mean” orbital radius listed for astronomical objects orbiting the Sun is typically not an...
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The Moon's orbit around the Earth can be considered circular due to the low eccentricity of its orbit. Considering only the Moon's movement around the Earth (and disregarding the Moon's rotation around its own axis), knowing that the Moon takes 27 days to complete one revolution around the Earth, that the Earth-Moon distance is 384400 km and that the magnitude of its velocity is constant during the orbit, what is the magnitude of the acceleration of the center of the Moon?

 

a) Acceleration is zero because velocity is constant.
 
b) a=1,62m/s^2
 
c) a=9,78m/s^2
 
d) a=4,44×10^−4m/s^2
 
e) a=3,4×10^−2m/s^2
 
f) None of the other alternatives.
 
g) a=2,79×10−^3m/s^2
 
h) a=7,06×10^−5m/s^2
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