Force in an elevator during acceleration

In summary, a woman with a mass of 60.0 kg stands on a scale in a moving elevator with a combined mass of 815 kg. The elevator is accelerating upwards and the hoisting cable applies a force of 9410 N. Using the equation F=ma, the acceleration can be calculated and used to determine the force on the scale caused by the woman. Since the scale reads weights based on a = 9.8 m/s^2, a larger force will result in a larger weight reading.
  • #1
Strikersn
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Homework Statement



A woman stands on a scale in a moving elevator. Her mass is 60.0 kg, and the combined mass of the elevator and scale is an additional 815 kg. Starting from rest, the elevator accelerated upward. During the acceleration, the hoisting cable applies a force of 9410 N. What does the scale read during the acceleration?

Homework Equations



F= ma

The Attempt at a Solution



9410 = 9.8(815 + 60) * a

I think the above equation is right, but not 100% on that. I can't figure out how to do the rest of this problem. Any help will be greatly appreciated. Thanks in advance!
 
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  • #2
I believe you should solve the equation like this

F = m*a

since you are accelerating upwards a > 9.8m/s^2

Using the given force and the given weight you can find the "new" acceleration.

Using that acceleration you can find the force on the scale caused by the women.

Then using that force you can determine what her weight will show, (since you can assume the scale reads weights based off a = 9.8m/s^2, so a larger force will result in a larger weight)

Also, when you look at your above equation it is in the form F = m*a^2
 
Last edited:
  • #3
Awesome! Thanks for helping me out!
 

FAQ: Force in an elevator during acceleration

1. How does the force in an elevator change during acceleration?

The force in an elevator changes during acceleration because the elevator's motion is changing. When the elevator is stationary, the force acting on it is equal to its weight. However, as the elevator accelerates, the force acting on it increases or decreases depending on the direction of the acceleration.

2. What is the direction of the force in an elevator during acceleration?

The direction of the force in an elevator during acceleration depends on the direction of the acceleration. If the elevator is accelerating upwards, the force will be directed upwards, and if it is accelerating downwards, the force will be directed downwards.

3. Does the force in an elevator change if the elevator is moving at a constant speed?

No, the force in an elevator remains constant when the elevator is moving at a constant speed. This is because the elevator is not experiencing any change in its motion, so the force acting on it remains the same.

4. How does the mass of the elevator affect the force during acceleration?

The mass of the elevator does not affect the force during acceleration. According to Newton's Second Law, the force acting on an object is equal to its mass multiplied by its acceleration. Therefore, as long as the acceleration remains constant, the force will not be affected by the mass of the elevator.

5. Is the force in an elevator during acceleration the same for all passengers?

Yes, the force in an elevator during acceleration is the same for all passengers. This is because the force is acting on the elevator as a whole, and all passengers inside the elevator are part of that system. Therefore, the force acting on the elevator will also act on all passengers inside it.

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