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Newton's first law of motion

Current time:0:05Total duration:9:32
Newton's First Law (Galileo's Law of Inertia). Created by Sal Khan.

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Video transcript

In this video, I want +to talk a little bit about Newton's +First Law of Motion. And this is a translation from +Newton's Principia from Latin into English. So the First Law, +"Every body persists in a state of being at +rest, or moving uniformly straightforward, except +insofar as it is compelled to change its state +by force impressed." So another way to rephrase +what they're saying is, that if there's something-- +every body persists-- so everything will +stay at rest, or moving with a constant +velocity, unless it is compelled to change +its state by force. Unless it's acted on by a force, +especially an unbalanced force. and I'll explain +that in a second. So if I have something that's +at rest, so completely at rest. So I have-- and +this is something that we've seen before. Let's say that I have a rock. Let's say that I +have a rock someplace and it's laying on +a field of grass, I can keep observing that rock. And it is unlikely +to move, assuming that nothing happens to it. If there's no force +applied to that rock, that rock will just stay there. So the first part +is pretty obvious. So, "Every body persists in +a state of being at rest"-- I'm not going to do +the second part-- "except insofar as there's some +force being applied to it." So clearly a rock +will be at rest, unless there's some force +applied to it, unless someone here tries to push it or roll +it or do something to it. What's less intuitive about the +first law is the second part. "Every body persists in," +either, "being in a state of rest or moving +uniformly straight forward, except insofar as +it is compelled to change its state +by force impressed." So this Newton's +first law-- and I think I should do a +little aside here, because, this right +here is Newton. And if this is +Newton's first law, why do I have this huge +picture of this guy over here? Well, the reason is is because +Newton's first law is really just a restatement of +this guy's law of inertia. And this guy, another +titan of civilization really, this is Galileo Galilei. And he is the first person to +formulate the law of inertia. And Newton just rephrased it +a little bit and packaged it with his other laws. But he did many, many, +many other things. So you really have +to give Galileo credit for Newton's first law. So that's why I made +him bigger than here. But I was in the +midst of a thought. So we understand if +something is at rest, it's going to stay at +rest, unless there's some force that acts on it. And in some +definitions, you'll see unless there's some +unbalanced force. And the reason why +they say unbalanced is, because you could have two +forces that act on something and they might balance out. For example, I could push +on this side of the rock with a certain amount of force. And if you push on +this side of the rock with the exact same amount of +force, the rock won't move. And the only way that it would +move if there's a lot more force on one side than +on the other side, so if you have an +unbalanced force. So if you have a ton +of-- and maybe the rock is a bad analogy. Let's take ice, because ice is +easier to move, or ice on ice. So there's ice right here. And then, I have +another block of ice sitting on top of that ice. So once again, we're +familiar with the idea, if there's no force acting +on it that ice won't move. But what happens if +I'm pushing on the ice with a certain amount +of force on that side, and you're pushing on +the ice on that side with the same amount of force? The ice will still not move. So this right here, this +would be a balanced force. So the only way for the ice to +change its condition, to change its restful condition is +if the force is unbalanced. So if we add a little bit +of force on this side, so it more than compensates +the force pushing it this way, then you're going to see +the ice block start to move, start to really accelerate +in that direction. But I think this +part is obvious. This, you know, +something that's at rest will stay at rest, unless +it's being acted on by an unbalanced force. What's less obvious is +the idea that something moving uniformly +straightforward, which is another way of +saying something having a constant velocity. What he's saying is, +is that something that has a constant +velocity will continue to have that constant +velocity indefinitely, unless it is acted on +by an unbalanced force. And that's less intuitive. Because everything in +our human experience-- even if I were to push +this block of ice, eventually it'll stop. It won't just keep +going forever, even assuming that this ice field +is infinitely long, that ice will eventually stop. Or if I throw a tennis ball. That tennis ball +will eventually stop. It'll eventually +grind to a halt. Or if I roll a bowling +ball, or if I, anything. We've never seen, at least +in our human experience, it looks like everything +will eventually stop. So this is a very +unintuitive thing to say, that something in +motion will just keep going in +motion indefinitely. Everything in human intuition +says if you want something to keep going in +motion, you have to keep putting more force, keep +putting more energy into it for it to keep going. Your car won't go +forever, unless you keep, unless the engine keeps burning +fuel to drive and consuming energy. So what are they talking about? Well, in all of these +examples-- and I think this is actually a pretty +brilliant insight from all of these fellows is +that-- all of these things would have gone on forever. The ball would +keep going forever. This ice block would +be going on forever, except for the fact that +there are unbalanced forces acting on +them to stop them. So in the case of ice, +even though ice on ice doesn't have a lot +of friction, there is some friction +between these two. And so you have, +in this situation, the force of friction +is going to be acting against the direction +of the movement of the ice. And friction really comes +from, at an atomic level-- so if you have the actual +water molecules in a lattice structure in the ice +cube, and then here are the water molecules in a +lattice structure on the ice, on the actual kind of sea of +ice that it's traveling on-- they do kind of bump and +grind into each other. Although they're both smooth, +there are imperfections here. They bump and grind. They generate a +little bit of heat. And they'll, essentially, be +working against the movement. So there's a force of friction +that's being applied to here. And that's why it's stopping. Not only a force of +friction, you also have some air resistance. The ice block is +going to be bumping into all sorts of air particles. It might not be +noticeable at first, but it's definitely going to +keep it from going on forever. Same thing with the ball +being tossed to the air. Obviously, at some +point, it hits the ground because of gravity. So that's one +force acting on it. But even once it +hits the ground, it doesn't keep rolling +forever, once again, because of the friction, +especially if there's grass here. The grass is going to +stop it from going. And even while it's in the +air, it's going to slow down. It's not going to have +a constant velocity. Because you have all +of these air particles that are going to +bump into it and exert force to slow it down. So what was really +brilliant about these guys is that they could +imagine a reality where you didn't have gravity, +where you did not have air slowing things down. And they could imagine +that in that reality, something would just keep +persisting in its motion. And the reason why Galileo, +frankly, was probably good at thinking about +that is that he studied the orbits of planets. And he could, or at +least he's probably theorized that, hey, maybe +there's no air out there. And that maybe that's why +these planets can just keep going round +and round in orbit. And I should say their speed, +because their direction is changing, but their +speed never slows down, because there's +nothing in the space to actually slow +down those planets. So anyway, hopefully you found +that as fascinating as I do. Because on some level, +it's super-duper obvious. But on a whole other level, +it's completely not obvious, especially this moving +uniformly straightforward. And just to make +the point clear, if gravity disappeared, +and you had no air, and you threw a ball, +that ball literally would keep going +in that direction forever, unless some other +unbalanced force acted to stop it. And another way to think +about it-- and this is an example that you might +see in everyday life-- is, if I'm in an airplane +that's going at a completely constant velocity and +there's absolutely no turbulence in the airplane. So if I'm sitting in the +airplane right over here. And it's going at a constant +velocity, completely smooth, no turbulence. There's really no way for me to +tell whether that airplane is moving without looking +out the window. Let's assume that there's +no windows in that airplane. It's going at a +constant velocity. And there's no turbulence. And let's say, I +can't hear anything. So I can't even +hear the engines. There's no way for me to sense +that the plane is moving. Because from my +frame of reference, it looks completely +identical to if I was in that same plane that +was resting on the ground. And that's another +way to think about it. That it's actually +very intuitive that they're similar states, +moving at a constant velocity or being at rest. And you really can't +tell whether you are one or the other.
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