Calculating Force in an Accelerating Elevator - Solving for Normal Force

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Homework Help Overview

The discussion revolves around calculating the normal force exerted by the floor of an accelerating elevator on a person inside it. The subject area includes concepts from dynamics and forces, particularly focusing on the effects of acceleration and gravity.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between mass, acceleration, and normal force, with some confusion regarding the signs used in the equations. Questions arise about whether to consider the normal force or simply use mass times gravity.

Discussion Status

The discussion is active, with participants providing guidance on the correct application of signs in the equations. There is acknowledgment of the normal force as the force exerted by the floor, but some participants express uncertainty about their calculations.

Contextual Notes

Participants are working within the constraints of a homework problem, which may limit the information available and the methods they can use to approach the solution.

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A 70kg person is in an elevator the elevator has an acceleration of 3m/s/s DOWNWARD. What force will the floor exert on the person.

I am confused on the the equation. So far I think (mass)(acceleration)=(mass)(gravity)-(normal force). I know the mass is 70kg or 700N. I also know the acceleration is 3m/s/s. so i started to fill in my equation an i got -210=700-(Normal Force). But after solving I don't see that method resulting in the correct answer. HELP
 
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You put a minus sign in front of the acceleration, so your positive direction is up and the
negative direction is down. Gravity is also downwards, so it should get a minus sign as well.
The normal force is upwards, so it should not get a minus sign.
 


i am still confused, So i worked it out the way you told me, but since i am looking for the amount of force the floor is exerting on the person should i find the normal force. or should it just be Mass x Gravity

Here is my work
(Mass)(Acceleration)=Normal Force-(Mass)(Gravity)
-210=Normal Force -700
Normal Force= 490
 


The amount of force the floor is exerting IS the normal force, so your answer is
correct.
 


thanks for the help. really appreciate it
 

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