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Heisenberg Uncertainty Principle and Kinetic Energy

  • #1

Homework Statement



18. A ball of mass 50 g moves with a speed of 30 m/s. If its
speed is measured to an accuracy of 0.1%, what is the
minimum uncertainty in its position?

19. A proton has a kinetic energy of 1.0 MeV. If its momentum
is measured with an uncertainty of 5.0%, what is
the minimum uncertainty in its position?


Homework Equations


[tex]\Delta[/tex]p[tex]\Delta[/tex]x [tex]\geq[/tex][tex]\frac{h}{4\pi}[/tex]


The Attempt at a Solution


I know how to solve #19, because I know that [tex]\Delta[/tex]p / p = uncertainty. But what about accuracy? Do they mean the same thing? How does accuracy relate to [tex]\Delta[/tex]p or [tex]\Delta[/tex]x or the uncertainty of one of those?

Thanks!
 

Answers and Replies

  • #2
674
2
I believe they mean the same thing with accuracy.
 

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