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Find the gravitational field due to the ...

Find the gravitational field due to the moon at its surface. The mass of the moon is `7.36xx10^22` kg and the radius of the moon is `1.74xx10^6m`. Assuming the moon be a spherically symmetric body

Text Solution

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To calculate the gravitatioN/Al field at an exteN/Al point the moon may be replaced by a single particle of equal mass placed at its centre. Then the field at the surface is
`E=(GM)/a^2`
`=(6.67x10^-11N-m^2/kg^2xx7.36xx10^22kg)/((1.74xx10^6m)^2)`
`=1.62Nkg^-1`
This is about one sixth of the gravitatioN/Al field due to the earth at its surface.
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Knowledge Check

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