Most of our Solar System's mass is contained in the Sun, and the planets possess almost all of the Solar System's angular momentum. This observation plays a key role in theories attempting to explain the formation of our Solar System. Estimate the fraction of the Solar System's total angular momentum that is possessed by planets using a simplified model which includes only the large outer plan- ets with the most angular momentum. The central Sun (mass 1.99 × 1030 kg, radius 6.96 × 10° m) spins about its axis once every 25 days and the planets Jupiter, Saturn, Uranus, and Neptune move in nearly circular orbits around the Sun with orbital data given in the Table below. Ignore each planet's spin about its own axis. Mean Distance from Orbital Period Sun (x 10° km) Mass Planet (Earth Years) (× 1025 kg) Jupiter 778 11.9 190 Saturn 1427 29.5 56.8 Uranus 2870 84.0 8.68 Neptune 4500 165 10.2

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Chapter1: Units, Trigonometry. And Vectors
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Most of our Solar System's mass is contained in the Sun,
and the planets possess almost all of the Solar System's
angular momentum. This observation plays a key role in
theories attempting to explain the formation of our Solar
System. Estimate the fraction of the Solar System's total
angular momentum that is possessed by planets using a
simplified model which includes only the large outer plan-
ets with the most angular momentum. The central Sun
(mass 1.99 × 1030 kg, radius 6.96 × 10° m) spins about its
axis once every 25 days and the planets Jupiter, Saturn,
Uranus, and Neptune move in nearly circular orbits
around the Sun with orbital data given in the Table below.
Ignore each planet's spin about its own axis.
Mean Distance from Orbital Period
Sun (x 10° km)
Mass
Planet
(Earth Years) (× 1025 kg)
Jupiter
778
11.9
190
Saturn
1427
29.5
56.8
Uranus
2870
84.0
8.68
Neptune
4500
165
10.2
Transcribed Image Text:Most of our Solar System's mass is contained in the Sun, and the planets possess almost all of the Solar System's angular momentum. This observation plays a key role in theories attempting to explain the formation of our Solar System. Estimate the fraction of the Solar System's total angular momentum that is possessed by planets using a simplified model which includes only the large outer plan- ets with the most angular momentum. The central Sun (mass 1.99 × 1030 kg, radius 6.96 × 10° m) spins about its axis once every 25 days and the planets Jupiter, Saturn, Uranus, and Neptune move in nearly circular orbits around the Sun with orbital data given in the Table below. Ignore each planet's spin about its own axis. Mean Distance from Orbital Period Sun (x 10° km) Mass Planet (Earth Years) (× 1025 kg) Jupiter 778 11.9 190 Saturn 1427 29.5 56.8 Uranus 2870 84.0 8.68 Neptune 4500 165 10.2
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