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)3
M = (4) (3.14)2 / (2.23×10)24 (6.67×10)-11 (57,888)2
M = 1.88×1027 kg
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)3
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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