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Solve the Problem Find the Linear Speed of Each Moon

question 140

Essay

Solve the problem.
-The four Galilean moons of Jupiter have orbital periods and mean distances from Jupiter given by the following table.  Distance (km) Period (Earth hours)  Io 4.214×10542.460 Europa 6.709×10585.243 Ganymeade 1.070×106171.709 Callisto 1.883×106400.536\begin{array} { l | c | c } & \text { Distance } ( \mathrm { km } ) & \text { Period (Earth hours) } \\\hline \text { Io } & 4.214 \times 10 ^ { 5 } & 42.460 \\\text { Europa } & 6.709 \times 10 ^ { 5 } & 85.243 \\\text { Ganymeade } & 1.070 \times 10 ^ { 6 } & 171.709 \\\text { Callisto } & 1.883 \times 10 ^ { 6 } & 400.536\end{array} Find the linear speed of each moon. Which is the fastest (in terms of linear speed)?


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