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If you stand in a lift that is accelerating downwards at a rate of 2 m s-2, you will experience an apparent upthrust that acts against your weight. Your weight (the force that acts in a downward direction due to gravity) is:

W = m g

= mass x gravitational field strength

On Earth, g is about 9.8 N kg-1 or 9.8 m s-2 (both units are equivalent)

W = 50 kg x 9.8 N kg-1

= 490 N (in a downward direction)

The upward force due to your acceleration is given by Newton's second law:

F = m a

= mass x acceleration

= 50 kg x 2 m s-2

= 100 N (in an upward direction)

So the overall weight you feel is the difference between them. So:

W = 490 - 100

= 390 N

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Q: What is the weight of a 50kg man stands on the floor of an elevator descends with an acceleration of 2ms2?
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