- #1

UrbanXrisis

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The question is http://home.earthlink.net/~urban-xrisis/clip_image002.jpg

[tex]0.5mv^2=\frac{GmM_{moon}}{R_{moon}}+\frac{GmM_{jupiter}}{R_{jupiter}+x}[/tex]

x=distance between Jupiter and the moon

[tex]v=\sqrt{\frac{2GM_{moon}}{R_{moon}}+\frac{2GM_{jupiter}}{R_{jupiter}+x}}[/tex]

[tex]v=\sqrt{\frac{2*6.673x10^{-11}*1.495E23kg}{2.64E6m}+\frac{2*6.673x10^{-11}*1.9E27kg}{6.99E7+1.071E9}}[/tex]

[tex]v=17.657km/s[/tex]

when I subbed in the numbers, I get about 17km/s. The books gives 15km/s, am I doing this right?

[tex]0.5mv^2=\frac{GmM_{moon}}{R_{moon}}+\frac{GmM_{jupiter}}{R_{jupiter}+x}[/tex]

x=distance between Jupiter and the moon

[tex]v=\sqrt{\frac{2GM_{moon}}{R_{moon}}+\frac{2GM_{jupiter}}{R_{jupiter}+x}}[/tex]

[tex]v=\sqrt{\frac{2*6.673x10^{-11}*1.495E23kg}{2.64E6m}+\frac{2*6.673x10^{-11}*1.9E27kg}{6.99E7+1.071E9}}[/tex]

[tex]v=17.657km/s[/tex]

when I subbed in the numbers, I get about 17km/s. The books gives 15km/s, am I doing this right?

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