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  • An artificial satellite moving in circular orbit around the earth has a total (kinetic + potential) energy <img alt="\mathrm{E_0}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7BE

An artificial satellite moving in circular orbit around the earth has a total (kinetic + potential) energy \mathrm{E_0}. Its potential energy and kinetic energy respectively are
 

Option: 1

\mathrm{2 \mathrm{E}_0 and -2 \mathrm{E}_0}
 


Option: 2

\mathrm{-2 \mathrm{E}_0 \: and \: 3 \mathrm{E}_0}
 


Option: 3

\mathrm{2 \mathrm{E}_0 \: and \: -\mathrm{E}_0}
 


Option: 4

\mathrm{-2 \mathrm{E}_0 \: and \: -\mathrm{E}_0}
 


Answers (1)

best_answer

\mathrm{K. E. =\frac{\mathrm{GMm}}{2 \mathrm{r}}=-\mathrm{E}_0, and\: P. E. =-\frac{\mathrm{GMm}}{\mathrm{r}}=2 \mathrm{E}_0}

\mathrm{\Rightarrow \text { T.E. = K.E. }+ \text { P.E. }=-\frac{\text { GMm }}{2 r}=E_0 }

Hence option 3 is correct.
 

Posted by

Rakesh

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