Pluto, unlike the 8 actual planets, has a very eccentric orbit around the sun (MSun = 2.0 ∗1030kg). When it’s at it’s closest, it is 4.43 ∗1012m away from the Sun and at it’s furthest it is 7.38 ∗1012m away from the Sun. It’s mass is 1.3 ∗1022kg. a) Draw an Interaction Diagram of Pluto as your system and a Before/After Diagram showing the furthest and closest points with the forces from the Interaction Diagram. b) Identify a conserved measurement and write a relationship between vclosest and vfurthest using that conservation law.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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Pluto, unlike the 8 actual planets, has a very eccentric orbit around the sun (MSun = 2.0 ∗1030kg). When it’s at it’s closest, it is 4.43 ∗1012m away from the Sun and at it’s furthest it is 7.38 ∗1012m away from the Sun. It’s mass is 1.3 ∗1022kg.


a) Draw an Interaction Diagram of Pluto as your system and a Before/After Diagram showing the furthest and closest points with the forces from the Interaction Diagram.


b) Identify a conserved measurement and write a relationship between vclosest and vfurthest using that conservation law.


c) Identify a second conserved measurement that can also relate vclosest and vfurthest using a different conservation law.


d) Find vclosest and vfurthest by solving the 2 equation, 2 unknown problem.

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