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Applying Newton's first law of motion

Current time:3:04Total duration:7:13
Newton's first law quiz
+1. If the net force on an object is zero, its velocity won't change. (True)
+2. An unbalanced force on an object will always impact the object's speed. (False)
+3. Moving objects come to rest in everyday life because of unbalanced forces. (True)
+4. An unbalanced force on an object will always change the object's direction. (False).
Created by Sal Khan.

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Video transcript

Now that we know a little +bit about Newton's First Law, let's give ourselves +a little quiz. And what I want you +to do is figure out which of these statements +are actually true. And our first statement is, +"If the net force on a body is zero, its velocity +will not change." Interesting. Statement number two, "An +unbalanced force on a body will always impact +the object's speed." Also an interesting statement. Statement number +three, "The reason why initially +moving objects tend to come to rest in +our everyday life is because they are being +acted on by unbalanced forces." And statement four, "An +unbalanced force on an object will always change the +object's direction." So I'll let you +think about that. So let's think about these +statement by statement. So our first statement +right over here, "If the net force +on a body is zero, its velocity will not change." This is absolutely true. This is actually +even another way of rephrasing +Newton's First Law. If I have some type +of object that's just traveling through +space with some velocity-- so it has some speed +going in some direction, and maybe it's deep space. And we can just, +for purity, assume that there's no +gravitational interactions. There will always be +some minuscule ones, but we'll assume no +gravitational interactions. Absolutely no +particles that it's bumping into, absolute +vacuum of space. This thing will +travel on forever. Its velocity will not change. Neither its speed nor its +direction will change. So this one is absolutely true. Statement number two, "An +unbalanced force on a body will always impact +the object's speed." And the key word right +over here is "speed." If I had written "impact +the object's velocity," then this would be a true statement. An unbalanced force +on a body will always impact the object's velocity. That would be true. But we wrote "speed" here. Speed is the +magnitude of velocity. It does not take into +account the direction. And to see why this +second statement is false, you could think about +a couple of things. And we'll do more +videos on the intuition of centripetal acceleration +and centripetal forces, inward forces, +if this does not make complete intuitive sense +to you just at this moment. But imagine we're looking at +an ice skating rink from above. And you have an ice skater. This is the ice skater's head. And they are traveling +in that direction. Now imagine right +at that moment, they grab a rope that is +nailed to a stake in the ice skating rink right over there. We're viewing all of this from +above, and this right over here is the rope. Now what is going to happen? Well, the skater +is going to travel. Their direction is +actually going to change. And they could hold +on to the rope, and as long as they +hold on to the rope, they'll keep going in circles. And when they let +go of the rope, they'll start going +in whatever direction they were traveling +in when they let go. They'll keep going +on in that direction. And if we assume very, +very, very small frictions from the ice skating +rink, they'll actually have the same speed. So the force, the inward +force, the tension from the rope pulling on the +skater in this situation, would have only changed +the skater's direction. So and unbalanced force +doesn't necessarily have to impact the +object's speed. It often does. But in that situation, it +would have only impacted the skater's direction. Another situation like +this-- and once again, this involves centripetal +acceleration, inward forces, inward acceleration-- +is a satellite in orbit, or any type of thing in orbit. So if that is some +type of planet, and this is one of the +planet's moons right over here, the reason why it stays in orbit +is because the pull of gravity keeps making the object +change its direction, but not its speed. Its speed is the +exact right speed. So this was its +speed right here. If the planet wasn't +there, it would just keep going on in that +direction forever and forever. But the planet right +over here, there's an inward force of gravity. And we'll talk more about the +force of gravity in the future. But this inward +force of gravity is going to accelerate this object +inwards while it travels. And so after some +period of time, this object's velocity +vector-- if you add the previous velocity +with how much it's changed its new velocity vector. Now this is after its traveled +a little bit-- its new velocity vector might look +something like this. And it's traveling at +the exact right speed so that the force +of gravity is always at a right angle to +its actual trajectory. It's the exact right speed so it +doesn't go off into deep space and so it doesn't +plummet into the earth. And we'll cover that +in much more detail. But the simple answer is, +unbalanced force on a body will always impact its velocity. It could be its speed, +its direction, or both, but it doesn't have to be both. It could be just the speed +or just the direction. So this is an +incorrect statement. Now the third +statement, "The reason why initially +moving objects tend to come to rest in +our everyday life is because they are being +acted on by unbalanced forces." This is absolutely true. And this is the example we gave. If I take an object, +if I take my book and I try to slide +it across the desk, the reason why it +eventually comes to stop is because we have the +unbalanced force of friction-- the grinding of the +surface of the book with the grinding of the table. If I'm inside of a +pool or even if there's absolutely no +current in the pool, and if I were to try to +push some type of object inside the water, +it eventually comes to stop because of all of the +resistance of the water itself. It's providing an unbalanced +force in a direction opposite it's motion. That is what's slowing it down. So in our everyday +life, the reason why we don't see these +things go on and on forever is that we have +these frictions, these air resistants, or the friction +with actual surfaces. And then the last statement, "An +unbalanced force on an object will always change the +object's direction." Well, this one actually is +maybe the most intuitive. We always have this situation. Let's say I have a +block right over here, and it's traveling with some +velocity in that direction-- five meters per second. If I apply an unbalanced +force in that same direction-- so that's my force +right over there. If I apply it in +that same direction, I'm just going to accelerate +it in that same direction. So I won't +necessarily change it. Even if I were to act against +it, I might decelerate it, but I won't necessarily +change its direction. I could change its direction +by doing something like this, but I don't necessarily. I'm not always +necessarily changing the object's direction. So this is not true. An unbalanced force on +an object will not always change the object's direction. It can, like these +circumstances, but not always. So "always" is what makes +this very, very, very wrong.
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