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Answer to Question #5569 in Mechanics | Relativity for Yahya Ahmed

Question #5569
1. A spaceship is launched and starts moving directly towards the Moon. At what
distance from the Earth will the pull of the Moon on the spaceship exceed the
pull of the Earth? Ignore the effect of the Sun in this calculation.
Expert's answer
We have the following formulas for forces
data:image/png;base64,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
where l is the distance between moon and earth.
Now our condition is
data:image/png;base64,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
That is
[img width=184,height=183]data:image/png;base64,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[/img]

Note that
data:image/png;base64,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
Thus
[img width=168,height=163]data:image/png;base64,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[/img]

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