The Blue Hero

What kind of velocity or power would that pebble have had to be thrown at in order to break the skin like that? Has anyone tried to do the math for that?

my time has come

Our equation we’re going to work with here is F*d = 0.5 * m * v^2

we want to solve for velocity, so that’ll turn out to v^2 = (F*d)/(0.5*m)

so according to some quick google research, the amount of force it takes to pierce skin is between 10 - 20 Newtons, so we’ll go to 15N because the skin of the palm is a bit more tough. That gives us F = 15N, which will probably be our only fixed point number, because the rest I’m going to have to assume.

Distance is going to be fun, because, well, look at this shit

That is an entire magma river (and then some) away! Forget the velocity, what the fuck is your aim, Blue??

Anyway

So I will admit I am shit at trying to gauge distances, but I’m gonna do my best. So first up, I’m going to say that the Links are manlets at the height of 5′ 2″ (that’s botw’s Link’s height, so admittedly I’m being a little more generous than the supposed canon heights nintendo gave, because in the game engine botw Link is 5′ 2″ and I like that measurement more), which in Not American Units is 157cm, or, to keep all of our units from getting messy, 1.57m. Using the very precise science of taking a Link and measuring how many silhouetted Links it takes to get to Vio, which in this panel we have about 5 silhouettes away (give or take) which would give us 1.57 * 5 = 7.85m, which will be our distance measurement, d=7.85m (side note: if anyone has a better way of measuring this distance let me know bc again, this is the one thing I’m shit at).

Next up, our mass. 

it’s a little baby pebble! so let’s assume that this pebble is made out of granite (it’s on a mountain and the mountains near me are granite so there), is a sphere, and is baby. So to find the mass of it, we’re going to need another formula! This time, we’ll use density to relate to our pebble’s volume and mass, or  ρ=m/V which simplifies to m= ρ*V. Our V will assume a perfect sphere because I said so, so V = 4/3 * π​ * r^2. For our radius, I will use my small hands as a reference, and funnily enough, 0.5cm seems to fit the radius of that blood mark, so r = 0.5cm, or, to keep our units straight, r = 0.005m. That’ll make our volume V = 4/3 *  π​ * (0.005)^2 => V= 5.24*10^-7 m^3. For our density, we’ll just be using the density of granite, so ρ = 2691 kg/m^3. Our mass, then, will be m = (2691 kg/m^3) * (5.24*10^-7 m^3) => m = 0.00141kg. 

Sweet! We have all the numbers we need now, so let’s plug them in: v^2 = (0.5m) / (F*d) v^2 = (15*7.85) / (0.5*0.00141)  = 117.75 / 0.000705 v^2 = 167021 sqrt(v) = sqrt(167021) v = 408.68 m/s

which if you go to easier units to visualize that’s 912 mph!!! For reference: most MLB pitchers have an average of 97 mph for each pitch. 

For other reference, you have to go 770 mph to break the sound barrier.

Shadow: I, personally, was created by dark magic.

Hello @livingwiththenight ! This is super duper early but I couldn’t help to post. Vidow in dresses was really fun to make, and I wanted to do something different than the boys in some coats and scarfs

FOR SOME REASON THIS GOT AN AUDIBLE LAUGH OUTTA ME SO I’LL SHOW IT (I WAS SAVING IT TO POST BESIDE OTHER EDITS I NEVER POSTED)

After watching a gorgeously animated music video, I was feeling inspired to paint pretty sparkly anime eyes. Ended up drawing Link, because of course I did :)

I don’t have plans to do a full month of MerMay (good thing, too, since the month is more than half gone ^^;;) but I thought I’d take this excuse to draw selkie!Blue from my werewolf AU!