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Are there any Scienticians who can explain this?

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Calories are a measure of energy. What you see there is a breakdown of what a calorie is in metre/kilogram/second base units.

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>>8654393

so is that or is that not the amount of calories i'd enjoy if i ate a dollar

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>>8654385

Wonder why they didn't simplify.

Not sure what they want to do with m2 and kg, either.

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ITT

>American """education"""

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>>8654426

Don't act like you can explain it either.

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>>8654432

Actually, this is high school level phisics

I won't bother to explain it, open a book for once in your life or

>lrn2google

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>>8654442

Ayyyy he doezn't even know ayyyy

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>>8654432

https://en.m.wikipedia.org/wiki/Calorie

https://en.m.wikipedia.org/wiki/Joule

Lazy bastard

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>>8654508

>b-but muh superior intelligence

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One "calorie" (lowercase is important) is biochemically defined as the amount of energy needed to raise one gram of pH 7 water exactly one degree Celsius at exactly one atm of pressure.

"Energy" is mathematically derived from "Work", and as such shares its unit of measurement, the "Newton Meter" or more commonly, the "Joule". A Joule has the unit definition of "kilogram times quantity meters per second squared" or, kg*(m/s)^2 (only /sci/ supports *tex notation so that's the best I can do). Expanded out, this gives us kg*(m^2)/(s^2); because of the definition of exponents, this can also be written as kg*(m^2)*(s^-2).

So when you ask google for "calories per dollar", it's giving you the mathematically correct conversion. "Per dollar" translates into ((U.S. dollars)^-1) from the definition of exponents we just discussed, and the phrase "calorie" most commonly refers to the International Steam Table version, which is defined as 4.1868 Joules.

From all of that, "calories per dollar" then becomes "4.1868 Joules per dollar", and is mathematically represented by the expression 4.1868 kg*(m^2)*(s^-2)*(USD^-1), roughly what Google gave you in that search result.

Hope this was helpful! :)

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>>8654587

I always forget that there's a /sci/ board where people actually have at least a vague idea of mathematics and other stem fields

Probably because I can't imagine why anybody who knows anything would want to shitpost here

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>>8654587

well then

that's a good enough explanation I guess

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>>8654587

Yeah but what's the deal with the negative powers?

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>>8654587

yurocucks BTFO!

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>>8654631

I explained this in my post!

>Expanded out, this gives us kg*(m^2)/(s^2); because of the definition of exponents, this can also be written as kg*(m^2)*(s^-2)

The (s^-2) bit is what you're looking for; perhaps I didn't elucidate in enough detail but maybe you just missed the negative sign.

In any case, I'll explain a bit further: the definition of an exponent is some number raised to some numerical power. 4^1 = 4, for example. Since division is mathematically defined as "multiplication by the reciprocal", and a "reciprocal" is simply "one divided by the number". Mathematically we can represent the reciprocal function for real numbers in the following manner: reciprocal(x) = 1/x = (x^-1). So the reciprocal of 4 is 1/4, to further our example.

So what else does this mean? Well, let's say that our X is now 16. We can represent 16 as 4^2, so the reciprocal of X, in addition to simply being stated as 1/16, can also be stated as 1/(4^2). Because of the definition of reciprocal from above, it can also be stated as 4^-2.

The final piece of the puzzle is that the phrase "per ______" typically implies a mathematically division by whatever is in the blank. Now use what I've just gone over about the definition of division and negative exponents to determine how you might mathematically represent the phrases "Per US Dollar" and "Per second squared".

Don't hesitate to ask any more questions if it's still unclear! :)

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>>8654672

The joule requires the s2 but not s-2. That's my confusion. So you're saying x * x^-2 is the same as x * x^2? That makes sense, and is probably something I should know but don't bother keeping in my brain.

So the negative exponents are just shorthands. Got it.

So our equation becomes calories / us dollars? Doesn't make sense.

Can you give me an example an equation? 1 calorie?

>>8654693

>intelligence is bad

Fuck off. I welcome /sci/ for a change of place. Much better than your /b/ shit.

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>>8654385

(cal/$) = (4.184 * (m^2) * kg)/((s^2 * $))

(cal) = (4.184 * (m^2) * kg)/(s^2)

(cal) = (4.184 * meter * newton)

(Cal) = (4.184 joules)

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>>8654718

>x * x^-2 is the same as x / x^2

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>>8654718

>So you're saying x * x^-2 is the same as x * x^2?

No, I'm saying x * x^-2 is the same as x / x^2

The Joule requires the expression "meters squared per second squared". This can be written out, as I have indicated above, as (m^2)/(s^2). Since you're dividing by the (s^2) term, instead of writing out the division, you can write it as multiplication by the reciprocal.

Because of the definition of reciprocal I gave you above, the reciprocal of (1/(s^2)) is just (s^-2), which is where the -2 comes from.

kg*(m^2)*(s^-2)*(USD^-1) is mathematically equivalent to kg*(m^2)/(s^2)/USD

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>>8654736

got it. Google just gave the mathematical equation not an actual answer.

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>>8654740

Indeed it did.

In fact, you'd never get a correct answer with your particular query, because it's giving Google the "wrong kind" of "calorie". I said the lowercase was important because that's the pure thermodynamic version; the nutritional/culinary version is capitalized (Calorie) and is defined as 1000 little-c calories (Kilocalorie).

Typically you'll see Calorie on "nutrition facts" labels in the US, whereas "Kcal" is often seen on similar labels in Europe/the rest of the world.

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>>8654385

literally E=mc2

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>>8654753

Actually despite the mistaken case, that eqution works for a calorie. 1 kcal is 4184 joules, a regular calorie is 4.184.

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So is this if you eat a dollar or burn a dollar?

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>>8654767

neither

it's an artificial mathematical construction that has no practical application

both of those cases you mentioned would have vastly different answers than 4.1868

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>>8654385

Is this some sort of kiloWatt hour conversion?

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>>8654883

no it's literally the question written in mathematical terms.

unsolvable. but you could convert 4.184 joules to kilowatt hours lol

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