#physics and math

[swiss-math]

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[er-cryptid]

alright nerds--

^tried to include as many as possible

[gascreates]

a new star

[stealingpotatoes]

Tbf she has, according to The Lore about Togruta headbands, killed a carnivorous giant predator that regularly decimates entire villages, at fourteen, as her coming of age hunt.

Granted, this is legends, but...

damn. or she found a loophole

(donation doodles! // tip jar)

[deathricedrawn]

i'm ready to try

[prokopetz]

Kerbal Space Program was once afflicted by a bug the fans dubbed the "Deep Space Kraken", whereby if you travelled far enough from the origin of the game's coordinate system, floating point rounding errors would cause your spacecraft's components to become misaligned and/or clip into each other, resulting in the craft falling apart or exploding for no obvious reason.

The bug was later fixed by defining the active spacecraft itself as the origin of the game's coordinate system. In effect, the spacecraft no longer moves; instead, the spacecraft remains stationary and the entire universe moves around it. Owing to how relativity works, to the player this is indistinguishable from the spacecraft moving about within a fixed coordinate system, and it ensures that the body of the craft and its components will always be modelled with maximal precision.

While elegant, this solution introduced a new problem: it was now possible, by doing certain stupid tricks with relativistic velocities, to introduce floating point rounding errors to everything except the active spacecraft. In extreme cases, this could result in the destruction of the entire observable universe.

Some might call this one of those situations where the solution proves to be worse than the problem. I call it a perfect expression of what Kerbal Space Program is truly about.

[scienceisdope]

[acepumpkinpatrick]

Research for Gaza & Sudan

Hello everyone, this is my attempt in helping Raise funds for 3 campaigns that are in dire need and are extremely low on funds.

What I can do:

I am a physics major & have access to neat software such as HyperChem & Gaussian 09 and know how to use both efficiently. I can help build & do the necessary calculations for your modules. I can help you find resources for your research, and I am open to doing math and/or physics homework, as well.

How does this work?

DM me your requirements WITH CLEAR INSTRUCTIONS & a screenshot of your donations and I will start on it as soon as I can.

• For HyperChem & Gaussian 09: you need to donate €25 to each of the two gaza campaigns I have below.

I think this is a more than fair price given that licenses for both softwares range from 50$-2500$ (in the academics alone!)

• For searching resources: you need to donate €10 for the Sudanese campaign below.

• For homework: you need to donate €10 to any of the campaigns below.

NOTE: I am NOT responsible for Your deadlines. If your request needs time to run or I am doing someone else's commission before you, you WILL have to wait.

The campaigns:

Al-Najjar family - vetted here

Abdul Aziz's family - vetted here

ThomaSerena - vetted here & here

Sorry for the tags ♡

@commissions4aid-international @northgazaupdates2 @appsa @magnus-rhymes-with-swagness @wingedalpacacupcake @elksewer @a-shade-of-blue @tortiefrancis @mushroomjar @fromjannah @neechees @irhabiya @ibtisams @lacecap @dykesbat @socalgal @ankle-beez @mahoushojoe @transmutationisms @deepspaceboytoy @greelin @huckleberrycomics @zionistsinfilm @beserkerjewel @babacontainsmultitudes @spacebeyonce @mauesartetc @vakarians-babe @ghostofanonpast @c-u-c-koo-4-40k @ot3 @xinakwans @komsomolka @chilewithcarnage @akamanto0 @feluka @goodguydotmp3 @leotanaka @effen-draws @pkmnbutch @bilal-salah0 @ghostingarden

[amalifox]

TSC is slowly going crazy

[r0sh11]

[its-always-sunny-in-city17]

grazing

[grunklestanbignaturals]

Pls accept my halfbaked idea for day 2: games <3

[greenouillee]

Problem: Maths (& Physics) have too many cases where a symbol is used, confusingly, to mean multiple different things, leading to ambiguity and headaches. Sensible solution: Use a key or just simply clarify the meaning in context, so v here is velocity, or v here is an arbitrary vector, or v here is specifically final velocity, or v here is the harmonic function for the complex part of a complex function f(z) for the purposes of the Cauchy-Riemann & Laplacian equations, or v here is the potential V(x) differentiated with respect to time (yes i have seen this once, it was disgusting). My solution: add new characters. invent new scripts. steal syllabaries, acquire abjads, and abduct alphabets until we have enough squiggly lines to give literally everything its own unique symbol. This will help nobody and ruin everything. I will not rest until I am doing theoretical physics with these bad boys:

[Image ID: The 120 base Sitelen Pona of Toki Pona. They are simple, black and white, cartoonish, almost child-like drawings that act as logographic characters for the base words of the conlang Toki Pona. Each one has its corresponding name/word in Latin script beneath. End ID] Thank you for coming to my TED Talk.

[breadandlottery]

One man. Three personas. Each one a foil to the protagonist in a different way.

[phoenixstorm-07]

So any math nerd or anyone who studies/teaches math has probably had this type of interaction:

Random person: so what do you do?

Mathematician: I study/work with/teach math.

Random person: Oh I HATE math.

And I, my fellow nerds, have found the perfect response: You hate math? You think you even know what math is? Have you ever had to prove that numbers are real? Or that shapes exist?? Have you ever had to sit in a topology class listening to a professor and watching the students literally lose their minds??? You haven't? Then stfu, I donzt wanna hear you say a word about math.

[midnightfairy1]

Do Borrowers Actually Take Fall Damage? (calculus/physics answer)

hey guys! sorry I haven’t been active lately, but im about to finish up my finals so give me one more week before I start posting religiously. I just wanted to share with you some calculations I discovered during my studying for the Physics C AP Exam, with which I am expecting to interest borrower fanatics.

I am very proud of figuring this out and hope you guys find this as entertaining as I did! (By the way, I suggest scrolling to the bottom for the answer if you don’t want to read through all my math, although the math can also be interesting if you want it to be! ���)

First, I found myself wondering something: If ants are so light that their is no height they could fall from in which they could injure themselves, and humans gain fairly serious injuries after a 16 ft (5 meter) drop, where do borrowers fall on the scale?

I took to my physics notebook and calculated the result.

I won’t share with you the trivial calculations it took to reach my first conclusion. To break normal human leg bones, an impact force a little over 2,000 newtons is needed. For more serious injuries (more serious than a fracture), once the impact force reaches above 3000 newtons the fall becomes very dangerous. By 4000 newtons, the fall will usually become fatal (this happens around a 15 meter or 50 foot drop). But within the 2000 newton to 4000 newton range, a fall with a weird landing can have serious effects. If it interests you or helps put it into perspective, the impact force (in newtons) is equal to (mass(kg)x(velocity(m/s))^2)/(2(distance leg compresses (m))).

Next, I tried looking into the air resistance factor of a borrower. Depending on how high the air resistance is, the terminal velocity will decide the borrower’s impact force. Terminal velocity is defined as the highest velocity one might reach while falling, because air resistance counteracts your gravitational force once you reach a certain speed.

A 5’8” person who’s weighs 150 lbs scaled down to a height of 4” weighs .0136 kg (equivalent to the weight of a few coins). If you’re wondering if the fact that their bones are weaker will affect the outcome, don’t fret. Even though borrower’s bones are literally weaker, their bones are stronger relative to body mass. This is because bone strength is directly proportional to cross sectional area (length squared), and mass is directly proportional to volume (length cubed). this means that mass diminishes at a faster rate than bone strength. In a falling scenario, bone strength relative to body mass is the only thing that matters.

Now back to air resistance and terminal velocity. After plugging the borrower’s dimensions as well as other constants to the air resistance (drag force) and terminal velocity equations, I now know that the terminal velocity is equal to 11.4 m/s. This means that, no matter how high the fall is, the borrower will reach a max speed of 11.4 m/s because the drag force at that point will reach a quantity that is able to equally counteract the gravitational force (mass (kg) x gravity (9.81 m/s^2)) acting on the borrower.

Plugging the terminal velocity back into our impact force equation will give us the maximum impact force acting on the borrower. I’m going to do this for all of us, and reveal that the maximum impact force would be roughly 88 newtons. Taking into account a greater drag force (the borrower would most likely be flailing around and wearing clothing while falling), we can assume the maximum impact force would be even lower than this.

We are almost done. The last thing I need to do now is calculate a lethal impact force for a borrower, because it is not the same as a human’s. Impact force corresponds to energy transfer. For the previously mentioned fatal fall of 15 meters for a human, roughly 10000 joules of energy is transferred to the human, cause brain damage or death. any more than this would also lead the fatality (most likely). Scaling this down to borrower size using the same proportions as before, a transfer of roughly 1.94 joules would be fatal to a borrower. This corresponds to an impact force of around 194 newtons, well above the injury threshold calculated earlier. However, it’s good to assume that a fall from a weird angle or onto a hard surface still has the possibility to greatly injure the borrower, even if it is unlikely to be fatal.

One last calculation if you were wondering: the fall height it would take for a borrower to reach their terminal velocity is a height of 6.6 meters (or 21.7 feet) however, this fall would generate a force less than half that of a fatal force.

In conclusion, it is highly unlikely for a borrower to pass away due to fall impact from any height because their maximum impact force is well below the minimum impact force it would take to kill them. However, they can still get injured (and possibly fracture) in unlucky scenarios. This post is in NO WAY encouraging the artists or writers out there reading it to start composing scientifically accurate media, because I love the trope where the human has to chauffeur the borrower around everywhere and keep the borrower safe from high heights 🥰. If there is anything in my math I may have overlooked, please let me know because I would love to learn more! I really appreciate anyone who took the time to read this long, mathy message!

Borrower Speed, Strength, and Durability