Will the spring stretch or compress?

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Homework Help Overview

The discussion revolves around understanding the behavior of a spring in relation to an elevator's acceleration, specifically whether the spring will stretch or compress under varying conditions of effective gravitational acceleration.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the effective acceleration of gravity when the elevator accelerates downward and how this affects the spring's behavior. There are questions regarding the calculations and assumptions made about gravitational forces.

Discussion Status

Some participants are exploring different interpretations of the problem and questioning the assumptions related to gravitational acceleration in the context of the elevator's motion. There is an ongoing effort to understand the relationship between the elevator's acceleration and the spring's response.

Contextual Notes

Participants are grappling with the implications of the elevator's acceleration on the effective gravitational force, which is central to determining the spring's behavior. There is mention of specific calculations that have not yielded the expected results, indicating potential confusion or misinterpretation of the problem's requirements.

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Homework Statement
A spring (k = 711 N/m) is attached to the ceiling of an elevator. How much will the spring stretch (relative to its unstretched length), if a 5.8 kg object is attached to the lower end and the elevator is accelerating downward at 0.41 m/s2?
Relevant Equations
Hooke's law
F=ma
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i would like to understand why my answer is incorrect i don't know what I am doing wrong i would like for some help
 

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Acceleration of elevator downward lessen g which amounts 9.8-0.4 downward.
 
Is the effective acceleration of gravity when the elevator is accelerating down greater or less than g = 9.81 m/s2?
 
kuruman said:
Is the effective acceleration of gravity when the elevator is accelerating down greater or less than g = 9.81 m/s2?
less
 
anuttarasammyak said:
Acceleration of elevator downward lessen g which amounts 9.8-0.4 downward.
i try this i did (-5.8*(9.81-0.41))/711 and get -0.0766m and its still the wrong answer
 
The problem asks for the stretch of the spring. Will the spring stretch or compress?
 

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