Download PHYS 2220: Physics for Scientists and Engineers II

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3. (20 points) You are sitting in your lawn chair one summer day, playing with your new GPS receiver
in preparation for a big hiking trip. Suddenly, you remember the uncertainty principle from physics
class, and get a little worried that your own quantum nature will get you lost next time you are in
the woods!
(a) Assuming your GPS has an accuracy of 1 meter, determine the uncertainty in your momentum.
(b) What is the corresponding uncertainty in your velocity (state your assumptions)?
(c) At this speed, how far will you move over the age of the Universe (13 billion years)?
(d) Are you still worried that your quantum ‘uncertainty’ will ruin your backpacking trip?