5) In late 1609 and early 1610, Galileo Galilei discovered four moons orbiting Jupiter. These moons are known as the Galilean moons. (Since that time, 75 additional Jovian moons have been discovered.) The innermost Galilean moon, Io, takes 1.769 days to complete one orbit. The largest Galilean moon, Ganymede, orbits at a distance of 1.07 x 106 km and takes four times as long as Io to orbit Jupiter. (Both orbits can be modeled as circles.) a) What is the radius of Io's orbit? b) How fast is Io moving in its orbit? c) If Jupiter were to somehow collapse into a black hole, what would its Schwarzschild radius be?

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5)
These moons are known as the Galilean moons. (Since that time, 75 additional Jovian moons
have been discovered.) The innermost Galilean moon, Io, takes 1.769 days to complete one
orbit. The largest Galilean moon, Ganymede, orbits at a distance of 1.07 x 106 km and takes
four times as long as Io to orbit Jupiter. (Both orbits can be modeled as circles.)
In late 1609 and early 1610, Galileo Galilei discovered four moons orbiting Jupiter.
a) What is the radius of Io's orbit?
b) How fast is Io moving in its orbit?
c) If Jupiter were to somehow collapse into a black hole, what would its Schwarzschild
radius be?
Transcribed Image Text:5) These moons are known as the Galilean moons. (Since that time, 75 additional Jovian moons have been discovered.) The innermost Galilean moon, Io, takes 1.769 days to complete one orbit. The largest Galilean moon, Ganymede, orbits at a distance of 1.07 x 106 km and takes four times as long as Io to orbit Jupiter. (Both orbits can be modeled as circles.) In late 1609 and early 1610, Galileo Galilei discovered four moons orbiting Jupiter. a) What is the radius of Io's orbit? b) How fast is Io moving in its orbit? c) If Jupiter were to somehow collapse into a black hole, what would its Schwarzschild radius be?
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