Question
Asked Oct 21, 2019
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The table on the figure gives the mean distance, period, and mass for the four largest moons of Jupiter (those discovered by Galileo in 1609).

Determine the mass of Jupiter using the data for Io.
Express your answer using three significant figures and include the appropriate units.

 

Principal Moons of Jupiter
Period
Mean distance
Мoon
Mass (kg)
from Jupiter (km)
(Earth days)
422 x 103
8.9 x 1022
1.77
Io
4.9 x 1022
15 x 1022
671 x 10
1070 x 103
Europa
Ganymede
Callisto
3.55
7.16
1883 x 103
x 1022
11
16.7
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Principal Moons of Jupiter Period Mean distance Мoon Mass (kg) from Jupiter (km) (Earth days) 422 x 103 8.9 x 1022 1.77 Io 4.9 x 1022 15 x 1022 671 x 10 1070 x 103 Europa Ganymede Callisto 3.55 7.16 1883 x 103 x 1022 11 16.7

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Expert Answer

Step 1

According to Kepler’s law, rearrangin...

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G= 6.67x10 Nm2/kg2 4л'р3 т? 86400s T 1.77 days GM 1day 4л'рз М GT2

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