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Selected astronomical data for Jupiter's moon Thebe is given in the table. From these data, calculate the mass of Jupiter (in kg).

 

Moon Orbital Radius (km) Orbital Period (days)
Thebe 2.20 ✕ 105 0.67
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I am questioning the r value here:  from where did you arrive to (2.23×10)24.  Also, am I pluging the equation cortrectly here??  Can youy help, please - thanks

T2 = {[(4) (π)2] [(G) (M)]} (r)3

M = {[(4) (π)2] / (G) (T)2]} (r)

M = (4) (3.14)2 / (2.23×10)24 (6.67×10)-11 (57,888)2

M = 1.88×1027 kg

 

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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

I am questioning the r value here:  from where did you arrive to (2.23×10)24.  Also, am I pluging the equation cortrectly here??  Can youy help, please - thanks

T2 = {[(4) (π)2] [(G) (M)]} (r)3

M = {[(4) (π)2] / (G) (T)2]} (r)

M = (4) (3.14)2 / (2.23×10)24 (6.67×10)-11 (57,888)2

M = 1.88×1027 kg

 

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