How Does Elevator Acceleration Affect Scale Readings?

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SUMMARY

The discussion focuses on calculating the scale readings for a 60.0 kg person in an elevator accelerating at 3.5 m/s² both upward and downward. When accelerating upward, the scale reads 210 N, while during downward acceleration, the reading is 51 N. The calculations utilize the formula Fnet = ma, incorporating gravitational acceleration (9.8 m/s²) alongside the elevator's acceleration. The correct approach involves summing the gravitational force and the elevator's acceleration to determine the net force acting on the person.

PREREQUISITES
  • Understanding of Newton's Second Law (Fnet = ma)
  • Knowledge of gravitational acceleration (9.8 m/s²)
  • Basic algebra for solving equations
  • Concept of net force in varying acceleration scenarios
NEXT STEPS
  • Study the effects of varying acceleration on weight measurements in different scenarios
  • Learn about free body diagrams to visualize forces acting on objects
  • Explore the concept of apparent weight in non-inertial frames of reference
  • Investigate real-world applications of these principles in engineering and physics
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for practical examples of Newton's laws in action.

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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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