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Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Hope College

04:15

Kathleen Tatem

(II) According to a simplified model of a mammalian heart, at each pulse approximately 20 $g$ of blood is accelerated from 0.25 m/s to 0.35 m/s during a period of 0.10 s. What is the magnitude of the force exerted by the heart muscle?

0:00

Aditya Panjiyar

(I) A 7150-kg railroad car travels alone on a level frictionless track with a constant speed of 15.0 m/s. A 3350-kg load, initially at rest, is dropped onto the car. What will be the car's new speed?

04:39

Muhammed Shafi

05:29

(I) What is the weight of a 68-kg astronaut ($a$) on Earth, ($b$) on the Moon ($g =1.7 m/s^2$) ($c$) on Mars ($g = 3.7 \,m/s^2$) ($d$) in outer space traveling with constant velocity?

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Welcome to our example video in two dimensional Kinnah Matics on how to handle distance and displacement. So let's consider an example where we happen to live in a city that set up in, ah, block pattern on. You decide you're gonna walk through the city. So you're gonna go two blocks east Notice. I say East five or two superimposed the cardinal Directions here would look something like this. So we're gonna go two blocks east? No, we're gonna go three blocks north. So two blocks east, three blocks north. And I want to know how far I've traveled. Well, there's two ways to answer that. To say how far we try. First of all, we could say the total distance traveled in order to count the total distance traveled. We go one block to block three block four block five blocks. We would say the answer is five blocks is how far we've traveled. On the other hand, if we were to think about displacement, remember, displacement is all about the direct path. So we would say Okay, well, our total displacement delta are is going to be equal to X final minus ex initial I had plus Why Final minus. Why initial J hat? So that's really saying Delta are is equal to Delta X in the I had direction plus Delta y in the J hat direction. So in this case, we would have to I had plus three j had. So there's our vector and we want to find out how long is this factor? That's another way to answer. How far have we traveled? So we'd say Okay, well, I need the magnitude of Delta are here That's gonna be the square root of two squared plus three squared. So that's four plus nine. So that's the square root of 13 is the correct answer. Okay, so here we found displacement, whereas before we found distance very different answers. So we need to make sure we know what exactly the question is asking for and generally speaking questions with very suspicious specific. They'll tell you I want the total displacement, and then maybe is part B. They may see. And what was the total distance traveled notice here because of the way I had to write. What? My motion Waas. If I want to write what my position is that anytime say I happened to be standing here and the 0.0 is right here. Then I would need to say, Oh, I'm standing three blocks north of 00 So I would report that as zero comma, three blocks or if I were to write it out in component format, I could say R is equal to zero I hat plus three j hat or because it's a zero simply R is equal to three j hat, and we can read all three of these options exactly the same and know what they mean as long as we know where the origin is. So it's important that we understand how vectors show up here when, especially two dimensional vectors. When we're talking about distance and displacement distance, we still just count how far we walk displacement. On the other hand, we need the magnitude of the vector, okay, that is related to our displacement in the X and our displacement in the Why. So make sure you keep track of those things. The total displacement, then is going to be the square root of Delta X squared waas, Delta y squared

Newton's Laws of Motion

Applying Newton's Laws

Work

Kinetic Energy

Potential Energy

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