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The "slinky toy walking down the stairs" requires an initial impetus or push (a gain in inertial energy) from the user, then it both gains and releases gravitational and inertial energy during the remainder of it's 'walk'. There is no free lunch with energetic systems (whether we discuss a 'slinky' or the expansion of the universe); An initial source of energy must be present and must be imparted to the system for the system to do work. Simply dropping a ball from your hand and observing it impact the ground requires, at a minimum, the gravitational potential energy of the earth imparted to the ball.

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Q: Does a slinky toy spring walking down stairs require energy or release energy?
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