Astronomers at Caltech have used mathematical modeling of Pluto and Neptune's orbits to calculate the location of Planet X, the hypothetical ninth planet in the Solar System. (Pluto is not a Planet!) Unfortunately it is so far away from the Sun that it cannot be seen by any of our current telescopes, so NASA has Nikita (an Electrical Engineer at JPL) design an ion propulsion system for the 425 kg spacecraft that will be sent to find it. If Nikita's propulsion system accelerates singly ionized Argon through a 35 kV potential, and the propulsion is fired when the spacecraft is at rest, what will be the spacecraft's speed (in km/s) after it expels all of its 20 kg supply of Argon fuel?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Astronomers at Caltech have used mathematical modeling of Pluto and Neptune’s orbits to calculate the location of Planet X, the hypothetical ninth planet in the Solar System. (Pluto is not a planet!) Unfortunately, it is so far away from the Sun that it cannot be seen by any of our current telescopes, so NASA has Nikita (an Electrical Engineer at JPL) design an ion propulsion system for the 425 kg spacecraft that will be sent to find it. If Nikita’s propulsion system accelerates singly ionized Argon through a 35 kV potential, and the propulsion is fired when the spacecraft is at rest, what will be the spacecraft’s speed (in km/s) after it expels all of its 20 kg supply of Argon fuel?
Transcribed Image Text:Astronomers at Caltech have used mathematical modeling of Pluto and Neptune’s orbits to calculate the location of Planet X, the hypothetical ninth planet in the Solar System. (Pluto is not a planet!) Unfortunately, it is so far away from the Sun that it cannot be seen by any of our current telescopes, so NASA has Nikita (an Electrical Engineer at JPL) design an ion propulsion system for the 425 kg spacecraft that will be sent to find it. If Nikita’s propulsion system accelerates singly ionized Argon through a 35 kV potential, and the propulsion is fired when the spacecraft is at rest, what will be the spacecraft’s speed (in km/s) after it expels all of its 20 kg supply of Argon fuel?
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