Scale Reading in Elevator: Mass, Acceleration, and Velocity Calculations

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SUMMARY

The discussion focuses on calculating the readings of a scale in an elevator under various conditions using Newton's laws of motion. The person's mass is determined to be 91.7 kg based on a weight of 900 N. When the elevator accelerates upwards at 2.5 m/s², the scale reads 1128.8 N. During constant upward motion at 4 m/s, the scale continues to read 1128 N due to zero acceleration. Lastly, while decelerating at 1.8 m/s², the scale reading requires further calculation, emphasizing the importance of free body diagrams for clarity in problem-solving.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the equations of motion: F=ma and W=mg
  • Basic knowledge of free body diagrams
  • Concept of acceleration and its impact on weight readings
NEXT STEPS
  • Study free body diagram techniques for analyzing forces
  • Learn about Newton's three laws in detail
  • Explore introductory physics textbooks that cover basic mechanics
  • Watch educational videos on force summation and motion analysis
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Students studying physics, particularly those tackling problems involving forces and motion in elevators, as well as educators looking for teaching resources on basic mechanics.

Prashant91
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Homework Statement



A person stands on a scale in a elevator at rest. The scale reads 900N.
1) what is the persons mass
2) the elevator accelerates up at 2.5m/s^2. What does the scale read now ?
3)The elevator then continues to move upwards with a steady speed of 4m/s for 5 seconds. What does the scale read during this period
4)the elevator now decelerates at 1.8m/s^2 until it reaches zero velocity. What does the scale read during this period[/B]

Homework Equations

: F=ma and W=mg [/B]

The Attempt at a Solution


1) rearrange w=mg for m = 900/9.81 = 91.7kg

2) a= 9.81+2.5 = 12.31 so f=ma ... f=91.7*12.31 = 1128.8N

3) I AM COMPLETELY STUCK ON THIS PART ? -if it is moving upwards at 4m/s for 5 seconds. Then there would be no acceleration as a=0
so the scale would read the same 1128 N
would i need to show any working out instead of w=mg = 91.7* 9.8 ?

4) COMPLETELY STUCK - I UNDERSTAND A= -1.8M/S^2 as it is decelerating [/B]
 
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Question 3) if it is moving upwards at 4m/s for 5 seconds. Then there would be no acceleration as a=0

so the scale would read the same 1128 N

would i need to show any working out instead of w=mg = 91.7* 9.8
 
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Do you draw a free body diagram and sum your forces? That would make it considerably simpler. Your solutions for 1 and 2 are indeed correct. However, I cannot think of a physics teacher that would not take off points on a test for the lack of free body diagram and summing of forces.
 
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AlephNumbers said:
Do you draw a free body diagram and sum your forces? That would make it considerably simpler. Your solutions for 1 and 2 are indeed correct. However, I cannot think of a physics teacher that would not take off points on a test for the lack of free body diagram and summing of forces.

how would i draw a free body diagram and sum forces ? is there any tutorial or website i could reference off ?
 
http://www.physicsclassroom.com/Class/newtlaws/U2l2d.cfm might help. And here is a decent video . Make sure you understand Newton's three laws. The mathematics are resultant from his postulations about motion. I would recommend taking an introductory physics course from a certified teacher, honestly. There are some free textbooks here on PF, but most of them seem to deal with more advanced topics. It's worth a look though.
 
Really, that video is hardly a substitute for a good lecture.
 
AlephNumbers said:
Really, that video is hardly a substitute for a good lecture.

thanks for your help. i am understanding the concepts slowly. Where do i search on this website for textbooks. Would you know of any textbook that explains these concepts but are not to technical to understand.
 

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