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Given that the distance to the Moon is 384000 kmkm, and taking the Moon's orbit around Earth to be circular, estimate the speed (in kilometers per second) at which the Moon orbits Earth.

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Answer:

1.0229 km/s

Explanation:

The distance Moon travels will be the circumference

[tex]p=2\pi r\\\Rightarrow p=2\pi 384000000[/tex]

Time taken to complete one rotation aroung Earth is 27.3 days

Speed is given by

[tex]Speed=\dfrac{Distance}{Time}\\\Rightarrow Speed=\dfrac{2\pi 384000000}{27.3\times 24\times 3600}\\\Rightarrow Speed=1022.90\ m/s=1.0229\ km/s[/tex]

The speed of the Moon is 1.0229 km/s

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