How Does Elevator Acceleration Affect Scale Readings?

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When a 60.0 kg person stands on a scale in an elevator, the scale reading changes based on the elevator's acceleration. When accelerating upward at 3.5 m/s², the scale reads higher due to the combined effect of gravitational acceleration and the elevator's acceleration. Conversely, when the elevator accelerates downward at the same rate, the scale reading decreases as the upward force is reduced. The correct approach involves summing the gravitational force and the elevator's acceleration to calculate the net force. Understanding these principles is crucial for accurately determining scale readings in varying acceleration conditions.
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Homework Statement


A 60.0 kg person stands on a scale in an elevator. (solve in Newtons)
What does it read when the elevator is accelerating upward at 3.5 m/s2?
What does it read when the elevator is accelerating downward at 3.5 m/s2?


Homework Equations


Fnet = ma


The Attempt at a Solution


First I set up the equation
Fnet = ma
(588.6 + X) = 60 x 3.5
588.6 + X = 210
X = -378.6
So then I plugged in X
588.6 + -378.6 = 210
210N

I know that this is wrong but I'm not sure what I need to fix/change
 
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I would look at it a lot more simply: You know that gravity applies an acceleration to masses (9.8 ms-2).

If the elelavtor is not moving, that's all the acceleration a body feels, however when the evelator is accelerating upwards, a body feels this acceleration as well as the acceleration due to gravity.

I would simply sum up the gravitational acceleration and acceleration due to the elevator and then apply F = ma.
 
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