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The Uncertainty Relation for Position and Momentum

  1. Jul 1, 2013 #1
    1. The problem statement, all variables and given/known data
    The position of a 60-gram golf ball sitting on a tee is
    determined within +- 1μm. What is its minimum possi-
    ble energy? Moving at the speed corresponding to this
    kinetic energy, how far would the ball move in a year?


    2. Relevant equations
    ## K\geq\dfrac {\hbar ^{2}} {2ma^{2}} ## Minimum Possible Kinetic E.


    3. The attempt at a solution
    I have solved it using the above equation. But, I wonder, if I should consider rest energy as well.

    When they ask the second question, I sort of think that they only want this minimum kinetic E.
    Any ideas?

    Danke.
     
    Last edited: Jul 1, 2013
  2. jcsd
  3. Jul 1, 2013 #2

    mfb

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    2016 Award

    Staff: Mentor

    Just the kinetic energy is interesting here.
     
  4. Jul 1, 2013 #3
    Why?
     
  5. Jul 1, 2013 #4

    mfb

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    2016 Award

    Staff: Mentor

    You can calculate both if you like, but the rest energy cannot be accessed here (as you do not have an anti-golfball), and you are not dealing with relativistic velocities.
     
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