What is the magnitude of the elevators acceleration

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Homework Help Overview

The problem involves determining the magnitude of an elevator's acceleration based on the difference between actual weight and apparent weight experienced by a person inside the elevator. The context includes weight measurements in pounds and a discussion around the relevant equations of motion.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of the equation Fn = mg + ma and question the appropriateness of the variables used, particularly regarding the conversion of weight from pounds to mass in kilograms. There are inquiries about how to express apparent weight as a force and concerns about unit consistency.

Discussion Status

Some participants have provided guidance on unit conversions and the relationship between forces and weights. There is an ongoing exploration of the correct application of equations and the interpretation of given values. Multiple interpretations of the problem setup are being considered.

Contextual Notes

Participants note the confusion arising from mixing units of mass and force, as well as the need to clarify the definitions of apparent weight and real weight in the context of the problem.

catmd13
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Homework Statement



When you weigh yourself on good old terra firma (solid ground), your weight is 160lb . In an elevator your apparent weight is 140lb. What is the magnitude of the elevators acceleration.

Homework Equations



For this problem would we use the equation Fn= mg+ma

The Attempt at a Solution

 
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catmd13 said:

Homework Statement



When you weigh yourself on good old terra firma (solid ground), your weight is 160lb . In an elevator your apparent weight is 140lb. What is the magnitude of the elevators acceleration.

Homework Equations



For this problem would we use the equation Fn= mg+ma

The Attempt at a Solution


Welcome to PF.

That equation is ok.

Be careful what you use for g since your givens are in lbs.
 
i used the equation listed above but i get keep getting a wrong answer.

i used 160lb for Fn and 123 for mg i not really sure what to use for ma. I was also wondering if I should change the units from pounds
 
ma = -mg + Fn
 
they gave you mg and Fn, Fn is your apparent weight. mg is normal weight
 
so they give me Fn= 63.5kg and mg= 72.6kg i plugged it into find ma and i came up with .123 and it is still wrong. Can you help me out and see where i am making my mistake
 
catmd13 said:
so they give me Fn= 63.5kg and mg= 72.6kg

Note that Fn is a force, while "63.5 kg" is a mass. So they cannot be equal.

Did you use selter01's equation,

ma = -mg + Fn​

?

m=72.6 kg, and you're trying to find "a".
 
I used that equation how would i express 63.5kg as a force so i could use it for Fn I am stuck and do not know where to go from here
 
  • #10
as we know that the equation relating the Apparent and the Real weight is given as
Fnet=W(real)-W(apparent)...1

but
W(real)=Mg....... ...2
and F(net)=Ma........ ...3
 

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