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        The energy required to pull the ball and magnets apart is defined as the capacity to do work. The ball now has potential energy with respect to the magnetic field due to the work that we did pulling the ball off the magnets. If we release the metal ball, it accelerates toward the magnets pulled by the magnetic force. Then the potential energy gets converted to kinetic energy.

Newton’s Cradle is also essential to making this gun work.  Newton’s law says action equals reaction. That’s the easiest way to explain what happens. When we nudge the single ball on one side toward the magnets, it hits the magnets and releases the energy through the line of the system to the last ball on the other end. The transfer of the kinetic energy causes the ball on the other edge to shoot out. Because it has less magnetic force pulling on it compared to the other two or three metal balls that are closer to the magnets, as you can see in Figure.



Source: http://media.photobucket.com/image/gaussian%20gun/SpectrumSci/balls.jpg



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