WEBVTT
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Okay, so on this problem, we're told that
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an electron and a bullet have a certain velocity and
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it's accurate with a certain person. And we want
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to get the visit. Uncertainty in the position of
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either object. Let's go ahead and write down our
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givens. So the velocity is just, I think
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, more simply written as 500 meters per second.
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Although I guess when scientific notation is clear that there's
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two sig figs. But maybe I'll put a dot
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here. And then there's 26 legs. And then
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we know that Delta Bi is gonna be, um
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, avoid creating a new symbol, Delta Bi.
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It's gonna be point a 1% over the 10.1% 0.1%
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. So, um 0.0, oh, oh!
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One times 500 in. So that's 1234 or so
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500 times. 10 to the minus. For so
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1234 So that's 0.5 meters per second here. All
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right. And the mass of the bullet is equal
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to plaint. Oh, too. Okay. Oh
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, point. Oh, tuo kilograms while I guess
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36 legs. Oh, and then, of course
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, we have the mass of the electron. So
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then let's get a formula for Delta X. So
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we know that Delta acts times Delta P is equal
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to H over to pi. Delta P is equal
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to AM Belt Avi, and then we want to
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saturate the uncertainty by setting an equal because we want
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to find the minimum on certain team. And so
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then, if we want us now, solve her
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Delta acts, we get Delta X is equal to
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age over for pie and then times one over,
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um, Delta V. And now I'm going to
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go ahead and plug this into a calculator and then
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if we use, um, Delta X if we
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want to find it for the electron. Of course
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, we want to use the mass of the electron
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, but the velocity should stay the same. So
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let's go ahead and buy you a thought so that
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I get one point who won six times 10 to
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the minus three meters per second, not meters per
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second meters and with Delta X for the bullet Now
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we want to use pointed to. So it's going
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to significantly change your answer. 0.2 5.27 times seven
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minus 32 meters, so that's kind of astronomically small
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, so we know that, like, Okay,
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Yeah. We basically are gonna know the bullets position
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pretty well. According to quantum mechanics, you will
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check my sick bags that I stand by my sig
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figs. Great.