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A person weighing 504 Newtons enters an elevator and stands on a scale which reads his weight in Newtons. The elevator starts to accelerate upward at a rate of 8.53 m/s^2. What does the scale read while the elevator is accelerating upward? (Use g = 9.80 m/s^2)

Respuesta :

Answer:

942.68 N

Explanation:

Weight of man = 504 N = W

a = Acceleration = 8.53 m/s²

g = Acceleration due to gravity = 9.80 m/s²

Mass of man

[tex]m=\frac{W}{g}=\frac{504}{9.8}[/tex]

Weight shown when elevator is being accelerated

[tex]W_n=ma+mg\\\Rightarrow W_n=\frac{504}{9.8}\times 8.53+504\\\Rightarrow W_n=942.68\ N[/tex]

Scale reading while the elevator is accelerating upward is 942.68 N.

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