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A bullet with mass $10.000 \mathrm{g}$ has a speed of $300.00 \mathrm{m} / \mathrm{s}$ the speed is accurate to within $0.04 \% .$ (a) Estimate the minimum uncertainty in the position of the bullet, according to the uncertainty principle. (b) An electron has a speed of $300.00 \mathrm{m} / \mathrm{s}$, accurate to $0.04 \% .$ Estimate the minimum uncertainty in the position of the electron.

(c) What can you conclude from these results?

a. $\Delta y=4 \times 10^{-32} \mathrm{m}$

b. $\Delta y=0.5 \mathrm{mm}$

c. So the uncertainty principle can be neglected in the macroscopic would but not in the atomic scale.

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University of Hawaii at Manoa