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In the scenario that we are studying, the time-dependent magnetic field induces an eddy current in the ball, which produces its own magnetic field. Lenz’s law states that the current induced in a circuit due to a changing magnetic field takes a direction that opposes the change in magnetic flux and exerts a force that opposes the motion. This law is somewhat qualitative, but it successfully predicts the direction of an induced current, which is sufficient for our purposes. Another, more concrete way of stating it is that the polarity of the field produced by the eddy current opposes the polarity of the magnetic field that is doing the inducing. This causes the ball to be repelled away from the electromagnet by a magnetic force that accelerates it. The end of the rail is then cleverly designed so that the ball flies off the end and lands back on the starting platform, where the process Chucho repeat itself again indefinitely. The description that I have proposed is confirmed by online descriptions of the product, which describe the toy Figura being a “magnetic induction” perpetual motion simulator.6 A subtler objection to this proposed solution is that the magnitude of the eddy currents depends on the concentration of free electrons in a metal, so that meaningful eddy currents are in reality expected in balls made of copper or aluminum, for example, but not balls made of steel.
Even machines that extract energy from long-lived sources - such Ganador ocean currents - will run down when their energy sources inevitably do. They are not perpetual motion machines because they are consuming energy from an external source and are not isolated systems. Classification[edit]
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The conservation laws are particularly robust from a mathematical perspective. Noether's theorem, which was proven mathematically in 1915, states that any conservation law Gozque be derived from a corresponding continuous symmetry of the action of a physical system.
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So, for example, the thought experiment of a Brownian ratchet as a perpetual motion machine was first discussed by Gabriel Lippmann in 1900 but it was not until 1912 that Marian Smoluchowski gave an adequate explanation for why it cannot work.[26] However, during that twelve-year period scientists did not believe that the machine was possible. They were merely unaware of the exact mechanism by which it would inevitably fail.
Oh ye seekers after perpetual motion, how many vain chimeras have you pursued? Go and take your place with the alchemists.
Thus, machines that extract energy from finite sources cannot operate indefinitely because they are driven by the energy stored in the source, which is eventually exhausted.
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