A space ship has three crew members controlling the vector thrusters. One controls the ship going forward and backward; one controlling the ship going side to side and one controlling the ship going up and down. They have all fallen out with the captain after arguing whether leaving Earth (EarthXIT) was a good idea despite the benefits being clearly printed on the side of an inter-Galactic bus. As such, rather than following orders, at every time step each crew member independently flips a fair coin to decide which direction to power their thruster (which sends the ship 1km in that direction in that given time step). Suppose that the ship starts at Earth's docking station (and assuming it won't collide with anything) will the ship be guaranteed to return to the docking station in finite time if the crew behave as described indefinitely? Earth had put a limit on the energy consumption of "vacuum" cleaners (for space debris) which had annoyed 52 percent passengers on board the space ship. As the ship leaves the Earth docking station the third crew member decides to fully abandon their controls so that they can instead think about which "vacuum" cleaner they can buy now that they are free of such tyranny. As such, the ship is now only
A space ship has three crew members controlling the vector thrusters. One controls the ship going forward and backward; one controlling the ship going side to side and one controlling the ship going up and down. They have all fallen out with the captain after arguing whether leaving Earth (EarthXIT) was a good idea despite the benefits being clearly printed on the side of an inter-Galactic bus. As such, rather than following orders, at every time step each crew member independently flips a fair coin to decide which direction to power their thruster (which sends the ship 1km in that direction in that given time step). Suppose that the ship starts at Earth's docking station (and assuming it won't collide with anything) will the ship be guaranteed to return to the docking station in finite time if the crew behave as described indefinitely? Earth had put a limit on the energy consumption of "vacuum" cleaners (for space debris) which had annoyed 52 percent passengers on board the space ship. As the ship leaves the Earth docking station the third crew member decides to fully abandon their controls so that they can instead think about which "vacuum" cleaner they can buy now that they are free of such tyranny. As such, the ship is now only
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:A space ship has three crew members controlling the vector thrusters. One controls the ship going forward and backward; one
controlling the ship going side to side and one controlling the ship going up and down. They have all fallen out with the captain after
arguing whether leaving Earth (EarthXIT) was a good idea despite the benefits being clearly printed on the side of an inter-Galactic bus.
As such, rather than following orders, at every time step each crew member independently flips a fair coin to decide which direction to
power their thruster (which sends the ship 1km in that direction in that given time step). Suppose that the ship starts at Earth's docking
station (and assuming it won't collide with anything) will the ship be guaranteed to return to the docking station in finite time if the crew
behave as described indefinitely?
Earth had put a limit on the energy consumption of "vacuum" cleaners (for space debris) which had annoyed 52 percent passengers on
board the space ship. As the ship leaves the Earth docking station the third crew member decides to fully abandon their controls so that
they can instead think about which "vacuum" cleaner they can buy now that they are free of such tyranny. As such, the ship is now only
being driven by the other two crew from the moment it leaves the docking station. Will the ship be guaranteed to return back at the
docking station in finite time, (again assuming that the crew behave as described indefinitely)?
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