How does the spring scale read in different elevator scenarios?

In summary, The spring scale will read the weight of the 58 kg woman in the elevator as follows: (a) her weight plus her mass times acceleration upward, (b) her weight minus her mass times acceleration downward, (c) her weight with no acceleration, (d) no reading in free fall due to equal mass times downward acceleration, and (e) no reading due to being weightless. Additionally, the balance provides all the tension to the man, R, and the equation R-F=net force applies. However, in this scenario, there is no man present.
  • #1
trixid
12
0
What will a spring scale read for teh weight of a 58 kg woman in an elevator that moves (a) with a constant upward speed of 6.0 m's, (b) with a constant downward speed of 6.0 m/s, (c) with upward acceleration of 0.33g, (d) with downward acceleration of 0.33g, and (e) in free fall?

I'm having trouble with a and b. (c and d are easy enough because the g is given and e is weightless because it's free fall.) I don't know where to start!
 
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  • #2
Force equals mass times acceleration. The scale will read the weight of the woman (NOT mass)

plus her mass times acceleration upward.

minus her mass times acceleration downward.

with no acceleration (just constant speed) the scale will read her weight.

In free fall, mass times downward acceleration equals weight so there would be no reading.
 
  • #3
The balance provides all the tension to the man,R.
That's to say, R-F=net force
 
  • #4
primarygun said:
The balance provides all the tension to the man,R.
That's to say, R-F=net force

But there was no man!
 

1. What is the elevator spring problem?

The elevator spring problem refers to a common issue in elevators where the elevator car becomes stuck between floors due to a malfunctioning or broken spring.

2. How does the elevator spring problem occur?

The elevator spring problem can occur due to a variety of reasons, such as wear and tear, improper maintenance, or a sudden increase in weight inside the elevator car. It can also be caused by a faulty spring or a problem with the elevator's mechanical system.

3. What are the potential risks of the elevator spring problem?

The main risk of the elevator spring problem is the safety of the passengers. They may be trapped inside the elevator car for an extended period, which can cause discomfort and panic. There is also a risk of the elevator falling if the spring breaks completely, which can result in injuries or even fatalities.

4. How is the elevator spring problem fixed?

The elevator spring problem can be fixed by replacing the broken or malfunctioning spring with a new one. This requires the help of a trained technician and may involve shutting down the elevator temporarily. Regular maintenance and inspections can also help prevent the elevator spring problem from occurring.

5. Are there any ways to prevent the elevator spring problem?

Yes, there are ways to prevent the elevator spring problem. Regular maintenance and inspections can help identify and address any potential issues before they become major problems. It is also important to follow weight limits and guidelines for elevator use to avoid putting excessive strain on the springs and other mechanical components.

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