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namely the cable has snapped in the elevator,
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Then you don't feel any weight.
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You don't feel any weight
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because your weight is the opposition you get to falling through the floor;
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but if the floor is giving way
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and you're just falling freely, you feel weightless.
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It's wrong to think that you feel weightless
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because you escaped the pull of gravity.
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We all know that in a falling elevator,
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you definitely do not escape the pull of gravity.
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It's going to catch up with you in a few seconds.
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Likewise, when in outer space,