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Heisenberg Uncertainty Principle and Kinetic Energy

  1. Mar 30, 2010 #1
    1. The problem statement, all variables and given/known data

    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?


    2. Relevant equations
    [tex]\Delta[/tex]p[tex]\Delta[/tex]x [tex]\geq[/tex][tex]\frac{h}{4\pi}[/tex]


    3. 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!
     
  2. jcsd
  3. Mar 30, 2010 #2
    I believe they mean the same thing with accuracy.
     
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