What is the magnitude of the elevators acceleration

AI Thread Summary
To determine the magnitude of the elevator's acceleration, the equation Fn = mg + ma is appropriate, where Fn is the apparent weight, mg is the true weight, and ma is the mass times acceleration. The apparent weight is given as 140 lb, while the true weight is 160 lb. It's crucial to convert these values into consistent units, such as Newtons, for accurate calculations. The discussion highlights the need to differentiate between force and mass, emphasizing that apparent weight (Fn) cannot be directly equated to mass. Proper unit conversion and application of the equations will lead to the correct calculation of the elevator's acceleration.
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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