9: The Asteroid Belt is a ring of millions of small, rocky bodies that exists between Mars and Jupiter. • Mars orbits the Sun at a distance of 2.28 x 10" meters and its period (a Mars year) is 5.93 x 10' seconds. • Jupiter orbits the Sun at a distance of 7.78 x 10" meters and its period (a Jupiter year) is 3.74 x 10* seconds. A) Use Kepler's 3rd law to find how long a year is for an asteroid that orbits at the midpoint between Mars and Jupiter. Note: the mass of the Sun is 1.99 x 1030 kilograms. B) With that period, find the orbital velocity in m/s of this asteroid.

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9: The Asteroid Belt is a ring of millions of small, rocky bodies that exists between Mars and
Jupiter.
Mars orbits the Sun at a distance of 2.28 x 10" meters and its period (a Mars year) is 5.93
x 10' seconds.
• Jupiter orbits the Sun at a distance of 7.78 x 10" meters and its period (a Jupiter year) is
3.74 x 10* seconds.
A) Use Kepler's 3rd law to find how long a year is for an asteroid that orbits at the midpoint
between Mars and Jupiter. Note: the mass of the Sun is 1.99 x 1030 kilograms.
B) With that period, find the orbital velocity in m/s of this asteroid.
Transcribed Image Text:9: The Asteroid Belt is a ring of millions of small, rocky bodies that exists between Mars and Jupiter. Mars orbits the Sun at a distance of 2.28 x 10" meters and its period (a Mars year) is 5.93 x 10' seconds. • Jupiter orbits the Sun at a distance of 7.78 x 10" meters and its period (a Jupiter year) is 3.74 x 10* seconds. A) Use Kepler's 3rd law to find how long a year is for an asteroid that orbits at the midpoint between Mars and Jupiter. Note: the mass of the Sun is 1.99 x 1030 kilograms. B) With that period, find the orbital velocity in m/s of this asteroid.
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