Sunday, 24 January 2016

How Hard Can A Hitmonchan Punch?

This is just a short theory today guys, as I'm really busy. I might make another post later if I have time, but don't count on it.

Now, in Pokemon Y and Pokemon FireRed, the Pokedex says that Hitmonchan "throws punches that are faster than a bullet train". But how hard does it actually punch? And how fast would a Pokemon trainer see their precious Pokemon speeding past them?

Well, first we have to look at the speed of a bullet train. The maximum speed on the Shinkansen (a Japanese railway line) is 320km/h or 88.8889m/s.

Now we have our speed, so we need the acceleration. This involves the suvat equations. For these we need to have 4 of the 5 involved, but we only have 3. So, we need to know the distance, which is about equal to the length of his (her? its?) arm. At 1.4m, Hitmonchan is about the height of a ten year old. They (Yay, found a word!) seem to have average proportions (so not stupidly long arms) but for some reason, people aren't going around measuring ten year olds' arms. So, just from eye-line (because there's no way I'm counting pixels) it looks like their arms are about half the length of their bodies, which is 0.7m.

So then we use the equation v^2=u^2+1/2as and put in the numbers to get

88.8889^2=0^2+1/2ax0.7

7901.23654=0.35a

a=22574.9615429m/s^2

Whoa. That's a big number.

So we then put it into the F=MA equation (Force = Mass*Acceleration) Luckily the Pokedex tells us the mass (due to an oddity where most people call mass weight.) which is 50.2kg.

So 22574.9615429x50.2=1133263.06945N

Whoa. Even bigger number.

So, that's how hard Hitmonchan punches. But how fast can it send a Pokemon flying?

Just for fun, we'll use the lightest Pokemon, that isn't like a balloon Pokemon or something that could get a little faffy. This happens to be the 0.1kg Flabebe.

Aww. Lets send it flying!

So, momentum = mass x velocity. We know the velocity to be 88.8889m/s^2, but since he's not jumping and headbutting the Flabebe, we can't use Hitmonchan's mass. From what it seems, his hands are reasonably proportioned boxing gloves. We'll assume they're competition gloves, which weigh about 0.226796kg. 88.8889x0.226796 = 20.159647kgm/s.

So divide that by the mass of the Flabebe, and it'll go flying off at a speed of 201.59647m/s, making it the fastest that Hitmonchan can get a Pokemon to go.

Needless to say, I think a trainer would be a little annoyed if Hitmonchan did that in an actual battle.

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