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**1. Homework Statement**

Find the maximum accuracy that can be found to a proton's position without changing it's (not-realativistic) kinetic energy by more that 1 keV

I think this involves heisenberg's uncertainty principle [tex]\Delta x\Delta p=hbar/2[/tex] but im not sure at all.

Now to find the momentum p of a non-realativistic kinetic energy we can use [tex]E(kinetic) = 1/2mv^2 = p^2/2m[/tex]

which gives [tex]p = \sqrt{}2mE[/tex]

however this is as far as i got.

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