Two satellites S_(1) and S_(2) are revolving around a planet P in circular orbits of radii 4R and 9R respectively. If the speed of satellite S_(1) is 2V, then calculate the speed of satellite S_(2).

Two satellites S_(1) and S_(2) are revolving around a planet P in circ

1.	Two satellites S_(1) and S_(2) are revolving around a planet P in circular orbits of radii 4R and 9R respectively. If the speed of satellite S_(1) is 2V, then calculate the speed of satellite S_(2).
Answer» <html><body><p></p>Solution :As we know orbital speed `V_(<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>) = <a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>((GM)/(R ))` <br/> For `S_(1), ""<a href="https://interviewquestions.tuteehub.com/tag/2v-300496" style="font-weight:bold;" target="_blank" title="Click to know more about 2V">2V</a> = sqrt((GM)/(4R))` …(i) <br/> For `S_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>), ""V. = sqrt((GM)/(<a href="https://interviewquestions.tuteehub.com/tag/9r-1937718" style="font-weight:bold;" target="_blank" title="Click to know more about 9R">9R</a>))` …(ii) <br/> Dividing (i) by (ii) we get <br/> `(V.)/(2V) = sqrt((GM)/(9R)).sqrt((4R)/(GM))` <br/> `v. = 2V.2//3 = 4V//3`</body></html>