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# (II) An electron has an initial velocity $\vec { \mathbf { v } } _ { 0 } = \left( 8.0 \times 10 ^ { 4 } \mathrm { m } / \mathrm { s } \right) \hat { \mathbf { j } }$ . It enters a region where $\quad \vec { \mathbf { E } } = ( 2.0 \hat { \mathbf { i } } + 8.0 \hat { \mathbf { j } } ) \times 10 ^ { 4 } \mathrm { N } / \mathrm { C }$(a) Determine the vector acceleration of the electron as a function of time. $( b )$ At what angle $\theta$ is it moving (relative to its initial direction) at $t = 1.0 \mathrm { ns } ?$

## A) $-3.5 \times 10^{15} \mathrm{m} / \mathrm{s}^{2} \hat{i}-1.4 \times 10^{16} \mathrm{m} / \mathrm{s}^{2} \hat{\mathfrak{j}}$B) $\theta=166^{\circ}$ counter clockwise

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##### Andy C.

University of Michigan - Ann Arbor

LB

### Video Transcript

Okay, so here we have ensured recipe often. Electron, let me call that we not well, no need to call that questions. Is this being hot? And it gives the articles to 18 to 10 to the power four meters per second on direction. He is alone on the Y axis that they had now, similarly, it enters into an electric field. E That is a call to how much it is price. I had less. Eight. Gee, hat. All right, uh, in two to do the bar full. Nugent sparkle. Um, this is the direction of electrically. And I wanted to find out the victor acceleration. So the acceleration, This isn't a party. Find the acceleration that person is equal to force up. Unless right there is all this Now the forced, even if it fails, is given as the jars that is minus off E. Since he didn't get from terms electric pretty e on muscle than you look. So if you're bringing the values off, the enemy says that he's called 1.6 entertained the power minus 19. Cool. Um, on the mask as 911 into attended a power minus 10 to 1. Easy then this gives me. That's Sylar. Isn't easy. Quarter to minus 3.52 I had minus 14 point. Jiro saving Jihad James into it into the power 15. And this has you noticed me gyppos. Second ex wife. Okay, so we are done with finding the Exeter is enough. The body? No, it's what? Daniel? Is it moving in time? Teak recruit in one second, solo disperse. Trying the velocity at that times of visa called to be not plus Haiti. Everything in Victor. It wasn't Victor that wasn't Victor. So the Celts in Victor. Victor. Victor. So this is a quality. We know that that we not is going to a gym to tend the bar for Injun Apt. No. Plus, if you were to that, that is even one nano. Well, well, this is what in a bar? 15. If we wanted bath arteries one. None of that is just the bar minus nine. So it makes it minus 3.52 I had minus 14.7, Jr. Now the Nano makes this gentle park. It didn't asked into the power six. All right, Now this at the light components here. So in my direction that the 3.52 get into the power six in Brixton on minus turning Born my nine into 10 to the power six in various Enough J Right, So found. Do you hear? Now I need to find the angle that it makes your doors and bricks and so t top letting go first. Friendless Peter as Dan in verse. You? Why buy VX? This will give me the angle. Mere vibe. Felicity with respect to the x axis. So that is a quality turn in verse that turns out to be trucked in 0.99 for 3.52 So this becomes 75.88 degrees. So let me draw this in a graph. So this is X axis. This is why access initial diversity Wa salam alliances. Now this this is V. Okay, be not you, but so this is you know, and she let him practice now the final velocity makes an angle off 75.8 it. So this is this says that this angle is 75 point did that. It makes me X axis. This is the right. So the angle that it makes me the war's end. Rickson, give me all this ass to fight. So five is equal to 19th less. 75.8 it. So that is a cold 1 65 80 degrees and obviously counter clockwise. All right, so we are done. Dissolution office problem. Thank you for watching.

Kansas State University
##### Andy C.

University of Michigan - Ann Arbor

LB