A periodic sinuous track is installed on an uniform plane slope, such that it intersects the straight fall line at regular intervals. A boxcar with wheels rolls without friction down this track, so that if left to itself it will gain speed as it descends due to gravity alone. Is it possible to build a mechanical apparatus wholly inside the boxcar, containing its own energy source, that will counteract this freefall, so that the boxcar can maintain speeds not exceeding some maximum? No use of jets or propellers or magnets interacting with the world outside the boxcar is allowed, this is a purely Newtonian problem, the apparatus must be totally enclosed inside the boxcar. Assume that the wheel design guarantees that the boxcar will never derail, like a roller coaster car. Also assume that the boxcar is able to dissipate heat energy from its descent, which is necessary in order to maintain average speed.
2007-10-13
11:52:18
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4 answers
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asked by
Scythian1950
7
in
Physics