Does acceleration due to gravity increase or decrease in an elevator?

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Homework Help Overview

The discussion revolves around the concept of acceleration due to gravity in the context of an elevator's motion. Participants explore how the acceleration experienced by an object changes when it is in an accelerating frame, such as an elevator moving upward or downward.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster questions how the acceleration due to gravity changes when in an elevator, specifically whether it increases or decreases. Some participants discuss the forces acting on an object in an elevator, including gravitational and normal forces, and how these relate to net force and acceleration. Others propose scenarios involving upward acceleration and its effect on total acceleration.

Discussion Status

The discussion is active, with participants providing insights into the forces at play and clarifying misconceptions. Some guidance has been offered regarding the relationship between gravitational force and normal force, though there is no explicit consensus on the interpretation of acceleration in this context.

Contextual Notes

Participants are navigating the complexities of force interactions in non-inertial reference frames, and there appears to be some confusion regarding the definitions and signs of forces involved. The original poster is encouraged to seek further clarification from a teacher.

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how does the acceleration used in the formula f=ma change when the acceleration changes. you start at 9.8 m/s2. you get in an elevator or you move upward, changing the acceleration. how does acceleration due to gravity change? increase or decrease?

thanks
 
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the acceleration due to gravity stays the same.

You have two forces, the normal force, and the gravitational force. The force of gravity continues to press downard with the same magnitude, but the normal force increases. This is why you move up (Note the total force is the sum of the forces)
 
so an upward acceleration of say, one m/s2 would just be added to g? meaning total acceleration for f=ma would be 10.8?
 
No. Here's how it works. Your object starts with two forces, fg, force of gravity, and fn the normal force. The force of gravity has a downward acceleration of 9.8 m/s2, which we'll call negative because we defined the y-axis to be positive pointing upwards, while the normal force starts with an upward acceleration of 9.8 This is why you don't move, because the net force Fnet = fn + fg which means:

ma = mg + m(-g) = 0 implies a=0

So if you accelerate upwards with a magnitude of 1 m/s2, the normal force increases so the acceleration of that force is g+1. This means
Fnet = fn + fg gives us

ma = m(g+1) + m(-g) = m(g+1-g) = m

So a=1 m/22, as expected.

I think you should talk to your physics teacher about this, because you seem to a bit confused as to what net force is
 
that was beautiful. much thanks.
 

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