A greased pig slides from rest down a frictionless ramp into frictionless circular track of a radius of four meters. What is the magnitude of this centripetal acceleration is it reaches the lowest point? The diagram has the pig starting from a height that eight meters.

Raw Transcript

Hello, everyone. Tom from everystephysics.com and everystepcalculus.com. This is a physics problem. A greased pig slides from rest down a frictionless ramp into frictionless circular track of a radius of four meters. What is the magnitude of this centripetal acceleration is it reaches the lowest point? The diagram has the pig starting from a height that eight meters. So since this asks for centripetal acceleration, we’re gonna go to that in the menu. Physics to get to the main menu. Scroll down to the C section, all alphabetical. I Try to do that in of physics program problems is to search what it has asked for. That would be intelligent way to do it as far as I’m concerned. So we got centripetal acceleration. And you know the formula for that is V squared over R. But there is no V given. No velocity given in the problem. So, because we’re students of engineering or something like that, we have to think a little bit in our own minds. Everything can’t be just handed to us. And so we we need to say what is V and where can we get V. Well, we are going to practice on my program and we would then go. You would get out of the program. You do that by pressing on escape and back home to physics and you choose physics again. And now we choose centripetal velocity. And what we’re given here radius and height in the problem. Choose that. However when height is given, radius is not in the formula. So, we enter the height that’s given. Which is alpha, you have to press alpha before we enter anything into these entry lines, here. Alpha 8 meters. I always show you what you’ve entered, you can change it if you want. I say it’s okay. And the velocity is 12.5 meters per second. The formula is the square root of 2 times gravity times height. And we enter these in here and come up with these calculations. So now we go back to the main menu. Remember that. Write it down, of course. And we’re going to scroll down to centripetal, you can use second to go down screen by screen. Second to get to the menu quicker. And we’re going to choose centripetal acceleration again. We going to enter the initial velocity. Alpha 12.5. That’s meters per second, number 4. We’re going to enter the radius. Alpha 4 meters, number 3. I ask you if it’s okay. And here’s the formula’s. Velocity squared times 4 which is these calculations which is 39.06. And the answer to the problem is 39.1. In a multiple choice problem. So you circle that and you got it perfectly correct. Have a good one.

You set up a ballistic pendulum in order to conduct the experiment. The pendulum is made of a block of wood suspended from a set of strings. You fire the bullet into the stationary block and measure the speed at the combined bullet and block since the bullet lodges inside the block. I certainly would like to see these kids shoot a gun into the block, here for the experiments. I don’t know. You measure the mass of the bullet to be 4.2 grams, the mass of the block to be 500 grams, and the speed at the combined bullet and block to be 6.75 meters per second. Calculate the speed of the bullet (muzzle speed) and give your answer in meters per second.

Raw Transcripts

This is Tom from everystepphysics.com and everystepcalculus.com I’m going to an experimental problem in physics that they give you to experiment with in doing the lab class. And let’s get started. You set up a ballistic pendulum in order to conduct the experiment. The pendulum is made of a block of wood suspended from a set of strings. You fire the bullet into the stationary block and measure the speed at the combined bullet and block since the bullet lodges inside the block. I certainly would like to see these kids shoot a gun into the block, here for the experiments. I don’t know. You measure the mass of the bullet to be 4.2 grams, the mass of the block to be 500 grams, and the speed at the combined bullet and block to be 6.75 meters per second. Calculate the speed of the bullet (muzzle speed) and give your answer in meters per second. So, let me show you how my program would do for this lab thing in your homework a little bit, maybe. Physics to get to my menu. Scroll down to bulletin and pendulum which is the subject matter here. And we’re gonna wait for load. Notice when things are loading, you get a busy signal.here on your calculator indicating that is loading. And if it’s a long program like this one take a little bit in my but only once. After that, it loads very quickly. And they the bullet is going to embed into the block or the wood. So it’s, bullet in. We’re going to choose that one. And we want to get initialvelocity of the bullet. We’re going to choose that. And they give you instead of height, sometimes they give you height which there’s a way of calculating that and there’s also the velocity block and bulllet. So that’s what they’re giving, choose number two. You can choose the numbers before these items. And we’re gonna enter the mass. You have to press Alpha before you enter anything in here. Alpha 4.2 is given, 4.2 grams. It’s a very small bullet. And the 2 is here I just haven’t indicated it but it’s still in the calculations. And then we’re going into the mass of the block. Alpha 500 grams goes here. And the final velocity is alpha 6.75 meters per second, number three. In the positive direction. I always show what you’ve entered so you can change it in case you made a mistake and don’t like it. I say it’s okay. And here’s the calculations, here’s the formula. All the variables are put in. Notice it’s very clear. Initial velocity of one. Notice initial velocity, the used ot have a lot over professors use VO, which meant original velocity. But now lately they’ve been using initial and I like initial. And of course one is the bullet and two would be the block and bullet. I make everything clear of what in my programs of what I’m talking about. It always bugged me in physics that they throw around letters and minus signs and everything else and you don’t know what is going on. But in my programs , you do. Here’s the calculations. Here it is110 meters per second. Pretty neat, huh? EveryStepPhysics.com Thank you

This is a video from EveryStepCalculus.com demonstrating how my programs work with the t i 89 titanium calculator and other calculators in the t i system for physics and calculus problems so my programs in physics act like a physics problem solver and let’s get started you press second alpha to put the p h y s i c s letters in here. Press alpha to put the open and closed parentheses. Press enter and your into my menu and let’s do car catches truck here it’s always fun in a test to have that problem and you have to press alpha before you enter anything in the entry lines here they always give the velocity. Alpha eight and I give you the choice kilometers per hour meters per hour meters per second let’s go meters per second number three and here’s the second velocity alpha seven meters per second distance between they give you that go fifty six meters and d is displacement I show you what you’ve entered so you can change it if you want I say it’s ok and velocity is the difference in velocity between the two eight minus seven one meter per second there time to catch up fifty six seconds and pretty neat huh everystepphysics.com. Go to my site buy my programs and pass your physics class.

First off I would like to say this is a greatprogram, I went out and got a Ti-89 titanium just so I could have your program for physics. I have been playing with it doing some problems and it works great. So what are the questions I have well here is a multiple part question I was asked to do last week but I am trying to figure out how to do all the steps on your program. I have been trying to find where I can calculate the thermal energy, potential energy etc...

Thank you for your time

DD

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Tom- As good as your every step calculus programs, thank you -Kevin

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