Uncertainty of a 50g Ball's Position: What Does It Mean?

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Homework Help Overview

The discussion revolves around the uncertainty in the position of a 50g ball and its implications for quantum mechanics in the context of macroscopic objects. The original poster is grappling with the significance of a very small uncertainty value (approximately 10^-32m) and its relevance to the principles of quantum mechanics, particularly the Heisenberg Uncertainty Principle (HUP).

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the relationship between the size of macroscopic objects and the calculated uncertainty. Questions about the typical range of macroscopic objects and their comparison to the uncertainty value have been raised.

Discussion Status

Some participants are questioning the implications of the uncertainty value in relation to quantum mechanics and macroscopic objects. There is acknowledgment of the confusion surrounding quantum physics, and a participant has indicated a clearer understanding of the question after receiving input.

Contextual Notes

There are discussions about the definition of macroscopic objects and the significant difference in scale between quantum uncertainties and macroscopic measurements. The original poster expresses uncertainty about how to interpret the implications of the HUP in this context.

jaidon
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i have a question where it asks me to find the uncertainty in a ball's postion (m=50g). i have that part all figured out, but then it asks me what the answer indicates about the relevance of quantum mechanics to macroscopic objects. (the answer was approx. 10^-32m, a very small uncertainty). i am having troubles understanding this. I'm not sure what to do. i know that HUP in general says that we can't know with certainty both the position and momentum of a particle at the same time, and the equation
(delta x)(delta p) >h/4pi.

i'm not sure where to go with this. any advice?
 
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What's the typical range of macroscopic objects...?In "m".Compare that value with the uncertainty u found...

Daniel.
 
so the size of macroscopic objects is much larger than what the uncertainty in their positions. I'm not sure what this means in regards to quantum mechanics. i find quantum physics so confusing and i highly respect anyone who understands and enjoys it.
 
So QM has given u a number which is about 27 order of magnitude off the realms of macroscopical physics.The conclusion is simple:QM and the HUP in particular give nonsignificative results when applied to macroscopic objects.

Daniel.
 
this is probably a stupid question, but what exactly qualifies as macroscopic ie)what is the actual range?

also, i get the question now. it was much simpler than what i was trying to make it out to be. thanks for the imput. you physics guys rock.
 

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