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Motion In Straight Line

Question
CBSEENPH11017765

What is the value of orbital velocity when satellite just revolves around the earth?

Solution
When the satellite is very close to the earth, then r ~ R.
∴ the orbital velocity,

     straight v subscript straight o equals square root of GM over straight R end root equals square root of gR  
        equals space square root of 9.81 cross times 6.4 cross times 10 to the power of 6 end root space straight m divided by straight s 
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        space space equals 7.923 km divided by straight s