The weight of a man in an elevator descending with an acceleration of 4.9 ms⁻² will become?
Answer: Half
Explanation
The weight of a man in an elevator descending with an acceleration of 4.9 m/s² will become:
Let:
-
Actual weight W=mg
-
Acceleration due to gravity g=9.8m/s^2
-
Acceleration of the elevator a=4.9m/s^2
When an elevator descends with acceleration a, the apparent weight becomes:
W′=m(g−a)
Substitute values:
W′=m(9.8−4.9)=m(4.9)
W′=1/2×mg
So, the apparent weight becomes half of the actual weight.
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