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

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The acceleration due to gravity remains constant at 9.8 m/s², regardless of an elevator's movement. When an elevator accelerates upwards, the normal force increases, but the gravitational force remains unchanged. The net force is the sum of the normal force and gravitational force, which can lead to a net upward acceleration. If the elevator accelerates upwards at 1 m/s², the effective acceleration experienced is the sum of gravitational acceleration and the elevator's acceleration. Understanding these forces clarifies how acceleration behaves in an accelerating frame, such as an elevator.
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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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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