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

In summary, the acceleration used in the formula f=ma changes when the acceleration changes due to the addition of an upward acceleration. However, the acceleration due to gravity remains the same. The net force is the sum of the normal force and the force of gravity, and when these forces are equal, the object does not move. When an upward acceleration is added, the normal force increases and the net force is no longer zero, resulting in an overall acceleration of the object. It is important to have a clear understanding of net force and its components in order to accurately calculate acceleration.
  • #1
you too
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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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  • #2
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)
 
  • #3
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?
 
  • #4
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
 
  • #5
that was beautiful. much thanks.
 

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

What is acceleration in an elevator?

Acceleration in an elevator refers to the rate of change of the elevator's velocity. It is the change in velocity per unit of time and is usually measured in meters per second squared (m/s^2).

How does acceleration in an elevator affect passengers?

Acceleration in an elevator can affect passengers by causing a sensation of weightlessness or a feeling of being pushed down into the floor. Depending on the direction and magnitude of the acceleration, passengers may also experience discomfort or dizziness.

What causes acceleration in an elevator?

Acceleration in an elevator is caused by the force of the elevator's motor and pulley system. The motor provides a force that pulls the elevator up or down, while the pulley system helps to control the acceleration and deceleration of the elevator.

How is acceleration in an elevator calculated?

Acceleration in an elevator can be calculated by dividing the change in velocity by the change in time. This can be expressed mathematically as a = (vf - vi)/t, where a is acceleration, vf is the final velocity, vi is the initial velocity, and t is the time interval.

Is acceleration in an elevator always constant?

No, acceleration in an elevator is not always constant. It can vary depending on the direction and speed of the elevator and the forces acting on it. For example, at the beginning and end of the elevator's journey, there may be periods of constant acceleration, but during the middle of the journey, the acceleration may vary as the elevator changes speed.

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