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 one year ago
place the answer in correct scientific notation, when appropriate and simplify the units. work with the units, cancel units when possible, and show simplified units in the final answer.
K=1/2(3.6*10^2 kg) (2.32*10^5 m/s)^2
 one year ago
place the answer in correct scientific notation, when appropriate and simplify the units. work with the units, cancel units when possible, and show simplified units in the final answer. K=1/2(3.6*10^2 kg) (2.32*10^5 m/s)^2

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theEric
 one year ago
Best ResponseYou've already chosen the best response.2Alright, I'll start by making that equation "pretty"...\[K=\frac{1}{2}(3.6*10^2 [kg]) \ (2.32*10^5 [m/s])^2\] Now, do you understand what this question wants you to do? All that is pretty much saying: calculate. Solve the problem and see what \(K\) is. And make sure you handle the units well.

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0ok so first we can convert the units

theEric
 one year ago
Best ResponseYou've already chosen the best response.2We could. We could look at the units separately, to make it easier. I put units in \([\ ]\)'s to tell them apart by the way. So...\[[units\ of\ K]=[kg]\ \left( [m/s]\right)^2\] Do you see what I did, there?

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0yea so wat would the next step be?

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Solving. So multiply units like you would variables or numbers. And that \(m/s\) is squared. So treat that like \(\Large\left(\frac{m}{s}\right)^2\) when you do your math.

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Understood? You can let me know what you get to see if we agree on what that is. If we have different answers, we can work through it together :)

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Let me know what you get, if I'm still on when you solve it! After you work the units out, you try to find if they are actually one unit themselves! And you can calculate the numbers separately  that's just putting it into a calculator correctly, though. Right? Good luck!

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Alright. Have you started any work yet?

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0yea i tried and like to convert them but idk how u meant with ur method

theEric
 one year ago
Best ResponseYou've already chosen the best response.2So, like, you have\[[kg]\ [m/s]^2\]\[=[kg]\ [m\div s]^2\]\[=[kg]\ [m]^2\div [s]^2\]So, in the end, you have\[[units\ of\ K]=\frac{[kg][m]^2}{[s]^2}\]

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Now it's memory work. I can only remember units from equations. Like, force is in newtons, and force is mass * acceleration which is kg * m/s^2. So newtons are "kg m / s^2"

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Do you know what "work" is in physics? If not, I'd like you to look at the equation.

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0ok let me write that down

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0wait wat do u mean by m/s isnt it one unit?

theEric
 one year ago
Best ResponseYou've already chosen the best response.2meters per second can be a unit, because it is a unit of velocity. However, meters and seconds are also units themselves, of distance and time respectively. A unit is just what you can measure something in.

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0ok so i put : (3.6*10^2kg) (2.32*10^5s)^2 (3.6*10^2kg) (2.32*10^5)/ (2.32*10^5)

theEric
 one year ago
Best ResponseYou've already chosen the best response.2And you can treat units like variables. They can cancel each other out and multiply and stuff. You see it a lot when converting.

theEric
 one year ago
Best ResponseYou've already chosen the best response.2I don't know if we're on the same page! I didn't get to the numbers yet, but you can do that separately.

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Sure. I'll do a similar probably, and you'll see how I do it. Then we'll go to your problem, and apply it. I'll think of a quick one. Got it!

theEric
 one year ago
Best ResponseYou've already chosen the best response.2I'll make the numbers have decimals, to make it more similar. \[F=(65.3\ [kg])(9.81\ [m/s^2])\]So the units are different, and the numbers are different, but it's still physics. We'll do this: 1. Solve to see what the units are, or I guess we'd say what the unit is. 2. Solve to see what the number is, making sure we have the correct significant figures. 3. Putting them together.

theEric
 one year ago
Best ResponseYou've already chosen the best response.2So\[F=(65.3\ [kg])(9.81\ [m/s^2])\]\[[units\ of\ F]=[kg][m/s^2]\]\[[units\ of\ F]=\frac{[kg]\ [m]}{[s]^2}\] And kg m / s^2 is actually newtons, N. Like I said, F=ma and so [N]=[kg][m/s^2]. Your equation is like \(K=\frac{1}{2}mv^2\), which is kinetic energy, which is an energy, and it's in joules. So remember that for yours. Next, onto the numbers. Do you know how significant figures work with multiplying and dividing?

theEric
 one year ago
Best ResponseYou've already chosen the best response.2So now we look at the numbers, by which I mean\[F=(65.3)(9.81)\] Now that's simple, right? Its \(641.\). I had the same number of sig figs in each number. You always use the lesser amount.

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Now, put the numbers with the units and you have \(641\ [N]\).

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0so that would be the final answer?

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Yup! Now to yours! Your units are \[\frac{[kg]\ [m^2]}{[s^2]}=[J]\]joules. And what is your number?

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0well for kg we have 3.6*10^2

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0and for m is 2.32*10^5

theEric
 one year ago
Best ResponseYou've already chosen the best response.2You don't actually need to consider the units now. You can look at the numbers on there own! Like, this was my example:\[F=(65.3\ [kg])(9.81\ [m/s^2])\]\[\qquad\qquad\downarrow\]\[F=(65.3)(9.81)\]

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0so they r 3.6 and 2.32?

theEric
 one year ago
Best ResponseYou've already chosen the best response.2You have \[K=\frac{1}{2}(3.6*10^2 [kg]) \ (2.32*10^5 [m/s])^2\] So just take the units away. Actually, here's the text for that equation: K=\frac{1}{2}(3.6*10^2 [kg]) \ (2.32*10^5 [m/s])^2 Erase the "[kg]" and [m/s]. Then post what's left.

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0ok so it can be 3.6*10^2 and 2.32*10^5

theEric
 one year ago
Best ResponseYou've already chosen the best response.2K=\frac{1}{2}(3.6*10^2 [kg]) \ (2.32*10^5 [m/s])^2 Erase the "[kg]" and [m/s]. Then post what's left. You can surround what's left in `\[` and `\]` to make OpenStudy make it look cool!

theEric
 one year ago
Best ResponseYou've already chosen the best response.2By doing so, you are no longer considering the units, but just the number amount.

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Is that something you'd rather not do?

RosieS12
 one year ago
Best ResponseYou've already chosen the best response.0im just trying to figure this out. im kida new at this

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Understood! That's when it is the hardest! So here is everything: K=(1/2) (3.6*10^2 [kg]) (2.32*10^5 [m/s] )^2 Erase all the units. What would it be without them?

theEric
 one year ago
Best ResponseYou've already chosen the best response.2You can copy and paste that, or type it.

theEric
 one year ago
Best ResponseYou've already chosen the best response.2Here's what I mean, but I'll show you with the math feature on here.\[K=\frac{1}{2}(3.6*10^2 \cancel{[kg]}) \ (2.32*10^5 \cancel{[m/s]})^2\]\[K=\frac{1}{2}(3.6*10^2) \ (2.32*10^5)^2\]

theEric
 one year ago
Best ResponseYou've already chosen the best response.2\(\it{That's}\) what I meant

theEric
 one year ago
Best ResponseYou've already chosen the best response.2And the \(\frac{1}{2}\) is exact, so it won't affect your significant figures.

theEric
 one year ago
Best ResponseYou've already chosen the best response.2I have to go. Good luck, and take care! Just remember to use the right number of significant figures.
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