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(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) A person has a reasonable chance of surviving an automobile crash if the deceleration is no more than 30 $g$'s. Calculate the force on a 65-kg person accelerating at this rate.What distance is traveled if brought to rest at this rate from 95 km/h?
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 Unit two of Physics 101 And this unit will be considering the realm of two dimensional Kinnah Matics. Obviously, we just finished up the unit on one dimensional Kinnah Matics. And so scaling it up to two dimensional at this time makes a lot of sense. Um uh, The only difference, really between one dimensional mathematics and two dimensional cinematics is more variables and keeping track of all those different variables. Before you recall, we did a lot of examples where we were on lines running through the world. Well, now we're going to be on planes running through the world. Instead of just going in the eye hat direction, we might go in the eye hat and the J hat at the same time. Now, this means that there is. This means that there's a lot of more information that we need to keep track of. So, for example, you've seen me write down equations like this before. X of t is equal to X not plus the not X Times t plus one half a x squared. And what I'm doing here is I'm showing that all of these variables are in the eye. hat direction now at the same time, is writing down that equation. I'll be writing down equations like this. Why f t equals. Why not plus the not y t plus one half A Y t squared. And we're gonna have to deal with solving for these problems these two equations at the same time and not just these two equations, but all seven of our kingdom Matic equations are fair game for both the X and the Y direction at this point, which means we could have a very large system of equations to solve for and some of these problems. This is generally what's trip students up during this unit is that they have so many things to keep track of and they struggle still, toe label all of their variables. Many students air still writing down the actual numbers. Rather than writing down the variables in the equation, I strongly suggest that you become comfortable with doing all of your work invariable form, having defined at the beginning that oh, well, why not equal to 0 m and ex not is equal to 1 m making sure you distinguish between the two of them and then you define your Veena X and your V not y, and you're a why, and you're a X. Defining all of these things will allow you to keep track of them even so, that when you start doing all your work, you never get lost. And even if you do get lost, it will be easy to go back and find where you made your mistake. Where did you drop your sign? Where did you add in an extra term? Or lose a term somewhere because you forgot to copy it down. It's much simpler to see when you're using variables than when you're using numbers, because you may decide in the middle of all of your algebra to do some calculation and then your numbers change and you don't know how that happened. Maybe you even type it in wrong. So I highly recommend that you definitely start working with variables. Now, in the first section of this unit, we're going to talk a lot about vectors coming back toe I hat and J hat on the importance of these guys. Vectors tend to be a thorn in the side for a lot of students, and then they forget about him when we move away from, and when he come back to him at the end of the course, they're thorn in their side once again. So make sure that you get a very strong grounding in vectors of the first time through. There's lots of great websites out there, and I will do my best to explain them to you here in the coming videos. But remember, the fundamentals of vectors are that they have a direction and they have a magnitude. And and it's this ability to have direction and magnitude that makes two D Kinnah Matics possible in the first place. Getting a strong understanding of vectors here will make the rest of the class much easier. So I really recommend that you put in some time on this topic.
Newton's Laws of Motion
Applying Newton's Laws