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Find the gravitational potential at the ...

Find the gravitational potential at the site of a geostationary satellites . Assume the height of the satellite to be 4200 km from the centre of Earth.
(Mass of Earth `=6.0xx10^(24)kg)` .

Text Solution

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`M=6.0xx10^(24)kg, R+h=42000xx10^(3)m`
`=4.2xx10^(7)m`
Gravitational potential `=(GM)/(R+h)=(6.67xx10^(-11)xx6xx10^(24))/(4.2xx10^(7))`
`=9.528xx10^(6)J/Kg`
Gravitational potential `=9.53xx10^(6)Jkg^(-1)`
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