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Maxamed Sidiiq A.
December 8, 2021
If a car is moving in uniform circular motion at a speed of 5m/s and has a centripetal acceleration of 2.5m/s2 , will the speed of the car increase at 2.5m/s every second
December 9, 2022
linear velocity doesnt change as it's perpendicular to centripetal force. It changes the angular velocity
University of Michigan - Ann Arbor
Simon Fraser University
University of Sheffield
(I) What is the magnitude of the momentum of a 28-g sparrow flying with a speed of 8.4 m/s?
(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?
(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?
I) How much tension must a rope withstand if it is used to accelerate a 1210-kg car horizontally along a frictionless surface at 1.20 m/s$^2$ ?
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welcome to our videos on one dimensional Kinnah Matics in this unit will be talking about a basic mathematical structure that we can use toe analyze the motion of objects. We're not gonna be talking about really small things like atoms or particles. And we're not gonna be talking about really large things like planets so much, at least not in this one dimensional Kinnah Matics video. Um, here, we're going to talk more about things like baseball's and people and stuff that's about that size cars. Um, so the basic of the basics of 11 Deacon O Matics, start with knowing what is it that we're going to be measuring with? So we're gonna be measuring things with time using seconds, and we're gonna be measuring distances and positions with meters. Then we'll measure velocities, speeds with meters per second and accelerations with meters per second squared. So really, we're only using two s I units the second and the meter, and then we'll be combining them in order. Thio get are different measurements here. In fact, if you've watched the calculus videos, you might already have some idea about how these things are related to each other all right. So when we start doing one dimensional cinematics, what we mean by one D is that we're going to be considered the world considering a world or motion, that is along a straight line. And when we look at this straight line, what we're gonna do is we're going to superimpose a numeric structure on top of it that will allow us to monitor and analyze the motion of these objects. So, for example, if we call this the X equals zero point and then over here, this is 123 and we have negative. 12 three. Now this could be in inches or meters or miles, or whatever we want it to be. We'll specify that when we're doing more precise problems. Um, but generally speaking, we'll talk about things in this way. We'll say, Henry, this stick figure stands at X, equals zero AT T equals zero and then walks forward to three. So we'd say, Okay, well, we can talk about a few different measurements here for Henry. First of all, we can talk about his absolute position. We can say that Henry starts at X equals zero. So that's his position at t equals zero. Then some time later, he's at X equals three, so that would be his position at X equals three. Then we'll also talk about displacement. Displacement is the change in position that Henry has experienced, so he's experienced the displacement of three. And we'll talk about the distance that Henry has traveled at this point. It so happens that the position displacement in distance when he moves from 0 to 3 all happened to be three. Now, if, on the other hand, Henry then walks back to X equals zero, he'll have experience will be at position zero. He'll have experienced a total displacement of zero because he started and ended at the same place. But he'll have walked a distance of six. So we have toe. Determine what are the difference between these thes terms and be ableto handle them appropriately next. We'll also. We also could talk about Henry's velocity or his speed, which in physics, these air two different terms. They mean different things. Velocity is a vector. It's associated with displacement. Speed is not a vector. It's associated with distance generally, and then we can also talk about the acceleration is the rate of change of the speed of Henry, whereas velocity is the rate of change of his position. Yeah, we'll also consider how acceleration and velocity can be in opposite directions from each other, and similarly, with displacement, we have to keep track of all the different science. So there's It's a fairly simple structure, but there's some nuance here to the mathematics that we want to make sure that we're keeping track of. And it's good practice for later on, when we're doing more complicated in dealing with more complicated situations, though I should mention that there is one fundamental situation assumption here because we're doing Kinnah Matics. We will assume that the accelerations are constant, except when we have some really specific cut and dry scenarios that will consider later on in the unit towards the end. Um, we're generally gonna be, considering that acceleration is constant throughout the entire motion that we're looking at. I do suggest that you watch these videos from beginning to end in order. However, they can also serve as a reference if you're struggling with definitions of any of these things later on in the videos
Motion in 2d or 3d
Newton's Laws of Motion
Applying Newton's Laws