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There is in fact, plenty of inertia within a free-falling elevator (and hope there is no elevator design in common usage quite that dangerous). Remember that inertia is a property of matter with mass, its resistance to change until a force acts upon it - the downward acceleration of gravity is actually increasing the inertia of all the free-falling objects within. However, one might briefly feel that there is no force because all objects within such an elevator are accelerating at the same rate, when in reality it is only a matter of perception and gravity is acting equally upon all mass, and no floor to push up on your feet to resist gravitational acceleration. The effect is similar to what an astronaut might feel in Earth orbit, where they are constantly accelerating towards Earth (but constantly missing it) and thus feels to be in constant free-fall.

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Q: Why is there no inertia in elavators when it is free falling?
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