Homework Help: Physics

Posted by Andrea on Monday, November 12, 2007 at 7:11pm.

Europa, a moon of Jupiter has an orbital diameter of 1.34x10^9m and a period of 3.55 days. What is the mass of Jupiter?
d=1.34x10^9m
T=3.55days = 30672s
M=?
r=71492000m
rm=6.7x10^8
r-total=7414492000m

r^3/t^2=GM/4pi^2
741492000^3/306720^2=6.67X10^-11(M)/4pi^2
I got m=2.56x10^27
But I don't think this is correct when I looked up the mass of jupiter it was actually 1898.6x10^24kg. What did i do wrong? I can't figure it out. Thanks in advance for your help.

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