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

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SUMMARY

The discussion centers on the uncertainty in the position of a 50g ball, calculated to be approximately 10^-32m. This minuscule uncertainty highlights the irrelevance of quantum mechanics, specifically the Heisenberg Uncertainty Principle (HUP), when applied to macroscopic objects. Participants conclude that the size of macroscopic objects far exceeds the uncertainty values derived from quantum mechanics, rendering the principles of quantum physics insignificant in this context.

PREREQUISITES
  • Understanding of the Heisenberg Uncertainty Principle (HUP)
  • Basic knowledge of quantum mechanics
  • Familiarity with macroscopic versus microscopic scales
  • Ability to perform calculations involving uncertainty in physics
NEXT STEPS
  • Research the implications of the Heisenberg Uncertainty Principle on macroscopic objects
  • Explore the differences between quantum mechanics and classical mechanics
  • Study the concept of uncertainty in measurements and its applications
  • Investigate the typical size range of macroscopic objects in physics
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Students of physics, educators, and anyone interested in the relationship between quantum mechanics and macroscopic phenomena.

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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