Calculate elevator acceleration using mass

AI Thread Summary
To calculate the elevator's acceleration, the man with a mass of 65 kg experiences an apparent weight of 72 kg while standing on scales, indicating the elevator is accelerating upwards. The relevant equations include force (F=ma) and weight (w=mg), with the normal force (FN) expressed as FN = mg + ma. The discussion emphasizes the importance of using Newtons for force instead of kilograms, as kilograms measure mass. The final calculated acceleration of the elevator is approximately 10.86 m/s², suggesting a significant upward force. This indicates a strong acceleration, which could be considered extreme for an elevator.
aleah
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Homework Statement



A man with a mass of 65kg is traveling in an elevator and stands on a set of scales, at a given instant the scales measure his weight to be 72kg, find the acceleration of the equation

Homework Equations



f=ma
w=mg
FN =mg+ma[/B]

The Attempt at a Solution


[/B]
I know that the weight with gravity is 65kg and then changes to 72kg when he gets into the elevator because the elevator is pushing back onto him. I also know the elevator is going UP because of the positive change in weight.

Fn = 65kg + 72kg
Fn = 137kg

How do I find the acceleration?
 
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from the last of your equations!
:welcome:
 
I did use the last equation to find that but I am not entirely sure how to get a on its own
BvU said:
from the last of your equations!
:welcome:
 
by the way, you should get used to writing forces in Newtons, not in kg
kg is a unit of mass
 
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BvU said:
by the way, you should get used to writing forces in Newtons, not in kg
kg is a unit of mass
BvU said:
from the last of your equations!
:welcome:
do I divide the 65N by gravity to find m ? and then divide to get a on its own?
 
so you have fn = ma + mg and you have a scale that registers a force corresponding to m’g = 72 kg, in other words fn = ??
( the 137 you ventured is little high ...)
 
aleah said:
do I divide the 65N by gravity to find m ? and then divide to get a on its own?
yep!
 
thank you! I have the answer as the acceleration being 10.86ms-1
 
that would be a violent affair, if it would be the acceleration of the elevator alone ... :rolleyes:
 
  • #10
aleah said:
with gravity is 65kg and then changes to 72kg
that's right. So the change corresponds to the acceleration
 
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