The Moon Io orbits jupiter once in 1.769 days. The orbital radius of the Moon Io is 421700 Km. Caculate the mass of jupiter?

The Moon Io orbits jupiter once in 1.769 days. The orbital radius of t

1.	The Moon Io orbits jupiter once in 1.769 days. The orbital radius of the Moon Io is 421700 Km. Caculate the mass of jupiter?
Answer» <html><body><p></p>Solution :Kepler.s <a href="https://interviewquestions.tuteehub.com/tag/third-1414358" style="font-weight:bold;" target="_blank" title="Click to know more about THIRD">THIRD</a> law is <a href="https://interviewquestions.tuteehub.com/tag/used-2318798" style="font-weight:bold;" target="_blank" title="Click to know more about USED">USED</a> to find the mass of the planet<br/> `T^(2) = (4pi^(2))/(GM) (R+h)^(2)`<br/> ` M = (4pi^(2))/(GT^(2)) (R+h)^(2)(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>(3.14)^(2) xx (421700 xx10^(3))^(2))/(6.67 xx10^(11) xx (1.769xx86400)^(2))`<br/>` = (39.4384 xx 7.499128631xx10^(<a href="https://interviewquestions.tuteehub.com/tag/25-296426" style="font-weight:bold;" target="_blank" title="Click to know more about 25">25</a>))/(6.67xx10^(-11) xx 2.336055469 xx10^(10))`<br/> ` = (295.7536 xx10^(25))/(1.5581 ) = 189.8169 xx10^(25)`<br/> `M = 1.898 xx10^(<a href="https://interviewquestions.tuteehub.com/tag/27-298706" style="font-weight:bold;" target="_blank" title="Click to know more about 27">27</a>)` kg</body></html>