(http://imgur.com/yAAWx5x)
Hatoko combines earth and fire manipulation together to make lava, which Chifuyu stops by creating more rock on top of where the lava would erupt. I was wondering about this one for a while, if Hatoko brought lava up from below or just melted the ground directly below her. However, going by the original novels, this magma was originally deep below the ground, as Chifuyu creates new stratum to slow it down.
The rock wall vanished as Hatoko spread her arms wide open. On some instinctual level, I could tell what she was doing: she was focusing on two different types of power at once; directing on of them into her right hand and the other into her left.
"Put fire and earth together, and you geeet..." Hatoko crouched down, planting both of her hands on the ground and channeling their contrasting elements simultaneously. "Maaagma!"
The ground rumbled with a thunderous crash.
I looked back to the battlefield, and I was surprised to find that nothing in particular was happening at all. No...it looked like nothing was happening, but the moment I noticed how fierce the two of them were concentrating, I realised I was wrong. The arena was calm at a glance, but behind closed doors-nay, beneath the surface, the battle still raged on.
If Hatoko's move had gone as planned, the moment she'd laid hands upon the ground, the earth would've roared, the battlefield would've been cleaved in twain, and a geyser of red-hot magma would've erupted from the crevasse. The almighty Empress of Genesis across the field from her, however, had no intention of letting that happen.
As best as I could tell, for every layer of earth Hatoko's magma surged through, Chifuyu was creating another stratum to hold it down. She was effectively putting a lid on the eruption, over and over again.
"World Create's most dangerous attribute isn't the breadth or number of weapons it can create, "I exposited. "No-it's most fearsome trait by far is the speed of its powers of creation!"
If Chifuyu felt like it, she could activate her power literally instantaneously. Rapid-fire activations were a snap as well.
Given it bursts through different stratum of earth, that would mean it requires coming from deep underground. Not only that, but Chifuyu was fast enough to create whole new stratum to halt the eruption. Hatoko is 16 as of the start of the series, and the average height of a 16 year old Japanese girl is
between 157cm and 158cm (or an average of 157.5cm, or 1.575m).
647 pixels = 1.575m
1 pixel = 1.575m/647 = 0.00243431221m
0.00243431221m X 113 = 0.27507728m
35 pixels = 0.27507728m
1 pixel = 0.27507728m/35 = 0.00785935086m
0.00785935086m X 1095 = 8.60598919m
object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))
= 2*atan(1095/(1615/tan(70/2)))
= 0.621682239 rad
= 35.6197684930317067 degrees
Enter that through the time-tested
angscaler and we have a distance of 13.394m to Hatoko. The area of ground with magma bursting up goes further than that, but there isn't really a way to find the full length unfortunately. Next up for the distance the magma travelled. The average thickness of the Earth's crusts is between 30km and 70km.
L = 30km + 70km
= 100km/2
= 50km (50,000m)
V = lhw
= 8.60598919 X 13.394 X 50000
= 5763430.96m^3
Fragmentation of rock is 8000000 joules per m^3.
V = 5763430.96 X 8000000
= 4.61074477e13 joules
= 11.019944478967496 kilotons
That's our low end of solely using fragmentation, but what about the lava itself? We see it starting to emerge just seconds later (and the novelization even says it would had been instant had not Chifuyu made other stratum & bedrock to slow it down).
Timeframe is 2 seconds and 22 frames.
T = 1s/24
= 41.6666667ms X 22
= 0.916666667s + 2s
= 2.91666667s
T = 50000m/2.91666667s
= 17142.8571/340.29
= Mach 50.3771992
As for the weight of the magma, as there are
various densities of magma, we'll go with the average rhyolite, because that weighs the least. Rhyolite magma weighs between 2180 and 2250kg per m^3, which averages out at 2215kg per m^3.
M = 5763430.96 X 2215
= 1.27659996e10kg
KE = (0.5)mv^2
= (0.5) X 1.27659996e10 X 17142.8571^2
= 1.87582034e18 joules
= 448.33182122370936895 megatons
Final Results
Hatoko brings up magma (energy - low end) = 11.02 kilotons
Hatoko brings up magma (energy - high end) = 448.332 megatons
Hakoto brings up magma (speed) = Mach 50.377