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29 Oct 2021
Given information
It is given that the time period is and the distance from Earth to moon is .
Step-by-step explanation
Step 1.
The Moon (Moon of mass ) is orbiting the Earth (Earth of mass ) with velocity which caused by the gravitational force of Earth on Moon i.e being balanced by the centripetal force as followed:
Here, is the distance between the Moon and Earth.
On solving above equation for , we get
.... (1)
We also know that
.... (2)
Since the eq. (1) and eq. (2) is equal so, on solving it for , we get
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