Calc Dragon Ball Feats - Freeza Collection

Calculations
Dodoria's Maximum Buster

The Feat

uuqufVD.png

This is the sole scalable aquatic sea life observed on Namek, at least in the manga. It will be used to find a depth for the waters near the islands. Beyond that, I've got nothing to work with, so fuck it.

Krillin = 135 pixels
Fish = 521 pixels

Fish/Krillin = 3.859

Krillin = 1.53 meters (official height)
Fish = 5.895 meters

quLLNo9.png

Not many shots under water, this is what I had to work with that concretely showed the fish not super fucking far into the foreground.

Fish = 9 pixels
Near Shore Water Depth = 376 pixels

Near Shore Water Depth/Fish = 41.778

Near Shore Water Depth = 246.281 meters

FvMjKp1.png

Notice where I circled red? That is effectively the crater lip where the thickness of the water depth needs to head over to refill the crater. A gradual slope in general helps to inform a low end idea of what kind of ocean depth might exist while trying to refill a given crater.

Near Shore Water Depth = 47 pixels
Crater Diameter = 1362 pixels

Crater Diameter/Near Shore Water Depth = 28.979

Crater Diameter = 7,136.977 meters

Volume = (2/3)PIr1^2r2

r1 = Crater Diameter/2
r2 = Crater Diameter/4

Crater Volume = 47,562,130,249.317 m^3

200 j/cc

Dodoria's Maximum Buster Yield = 9,512,426,049,863,401,000 joules or 2.274 gigatons

Neat

Zarbon's Elegant Blaster

The Feat

jNCVcMc.png
6TaGFWw.png
vrOYSkd.png

Here is a sample of trees. There were not as many to scale as you'd think. Too many in the background most of the time with nothing to compare with. Or shown from an awkward top down angle, or not fully on panel, etc.

Any rate?

First Image

Krillin = 80 pixels
Tree = 568 pixels

Tree/Krillin = 7.1

Krillin = 1.53 meters (official height)
Tree = 10.863 meters

Second Image

Bulma = 80 pixels
Tree (Trunk Height + Top Diameter; green lines) = 537 pixels

Tree/Bulma = 6.713

Bulma = 1.65 meters (official height)
Tree = 11.076 meters

Third Image

Krillin = 219 pixels
Tree = 1411 pixels

Tree/Krillin = 6.443

Krillin = 1.53 meters (official height)
Tree = 9.858 meters

I'm just going to go with the middle option from the first image, because they're all roughly in the same general ballpark for an average showing that can actually be measured shrugs

SeQCqqS.png

Foreground

Tree = 34 pixels
Pillar Height = 193 pixels

Pillar Height/Tree = 5.676

Tree = 10.863 meters
Pillar Height = 61.658 meters

Background

Tree = 16 pixels
Island Height = 35 pixels

Island Height/Tree = 2.188

Island Height = 23.768 meters

Total Height of Eye = Pillar Height + Island Height = 85.426 meters

N7sr5eO.png

Foreground

Tree = 17 pixels
Minimum Height of Krillin's Eye = 83 pixels

Minimum Height of Krillin's Eye/Tree = 4.882

Minimum Height of Krillin's Eye = 53.033 meters

Idea being?

The explosion detonated near to the former most taller pillar + island height of eye, yet Krillin's position over the horizon is not viewable from their perspective.

Ergo?

DBL > 3.57 (sqrt(hb) + sqrt(hl))

hb = Total Height of Eye
hl = Minimum Height of Krillin's Eye

Total Krillin Distance From Explosion Epicenter = 58.994 kilometers or 58,994 meters

Next?

Panel Width = 1355 pixels
Explosion Diameter = 681 pixels

2*atan(Object_Size/(Panel_Width/tan(FoV/2))) = object degree size

2*atan(681/(1355/tan(70/2 deg)))

Explosion Diameter = 38.775 Degrees


Explosion Diameter = 41,521 meters

Ergo?

Explosion Radius = 20,760.5 meters

Surface Area = 4PIr^2

r = Explosion Radius

Explosion Surface Area = 5,413,339,404.74 m^2

Now for the size of the debris at the edge of the radius.

Distance the debris is from Krillin would be the original Total Krillin Distance From Explosion Epicenter subtracted by the Explosion Radius

Ergo?

Distance From Debris = 38,233.5 meters

Panel Width = 1355 pixels
Debris Diameter = 11 pixels

2*atan(11/(1355/tan(70/2 deg)))

Debris Diameter = 0.651 Degrees


Debris Diameter = 434.42 meters

Volume = (LWH/2)

L, W, and H = Debris Diameter

Debris Volume = 40,992,031.153 m^3
Rock Density = 2,700 kg/m^3
Debris Mass = 110,678,484,113.1 kilograms

Now surface area

Surface Area = (LW)/2

L and W = Debris Diameter

Debris Surface Area = 94,360.368 m^2

Explosion/Debris = 57,368.782

Can also get the height the debris was sent into the air at the edge of the explosion

Debris Diameter = 11 pixels
Debris Ejection Height = 100 pixels

Debris Ejection Height/Debris Diameter = 9.091

Debris Ejection Height = 3,949.312 meters

PE = MGH

M = Debris Mass
G = 9.8 m/s^2
H = Debris Ejection Height

Debris Potential Energy = 4,283,617,881,406,817 joules

Multiply by the Explosion/Debris ratio to get...

Zarbon's Elegant Blaster Yield = 245,745,940,409,729,500,000 joules or 58.735 gigatons

Zarbon's Physical Might

The Feat

jzDHo76.png

Tree = 17 pixels
Crater Diameter = 314 pixels

Crater Diameter/Tree = 18.471

Tree = 10.863 meters (derived above)
Crater Diameter = 200.65 meters

Volume = (2/3)PIr1^2r2

r1 = Crater Diameter/2
r2 = Crater Diameter/4

Crater Volume = 1,056,904.869 m^3

200 j/cc

Zarbon's Physical Might = 211,380,973,800,000 joules or 50.521 kilotons

Namek Size (High End)

Not that it's needed, I'd have a much easier time if I kept it all Earth sized and shit, but hey, why not to showcase if it really influences anything or not?

First?

Snake Way is about ~1,000,000,000 meters

Vegeta and Nappa were supposed to arrive on Earth about a year after the fight with Raditz (here and here). That being said, they're about a month early (here, so, knock off about 30 days from that year). Goku takes about 6 months (here, here, and here) to reach North Kai's planet, but can be narrowed down to about 177 days given the Saiyan's expected arrival nearly 158 days later (here and here).

Now, here and here, Goku dumb assed himself out of the ki he'd need to fly almost immediately and had to run the rest of the way to across Snake Way. Because flying would be a stamina issue until it no longer is when Toriyama forgets its supposed to be. This means, whatever speed he arrived across Snake Way on at would be applicable to the ki conserving 4 day flight Krillin and Gohan were taking to mask themselves from Vegeta's sensing them.



We know both Goku (here) and Krillin's (here) group slept despite similar levels of urgency to arrive at their destinations. So, to avoid confounds, I'll treat sleep as being about the same across both Goku and Krillin/Gohan's daily travels. Mind you, its a marvel anyone sleeps on Namek given it has 3 suns and an eternal day (here)

177 Days = 15,292,800 seconds

That assumes a full 24 hours though, we know Goku slept. We'll assume both Goku and Krillin/Gohan slept about an equal amount to reduce confounding shit between measuring.

So, let's knock off 7 hours if you take a look here.

177 Days (17 Hour Days) = 10,832,400 seconds

Snake Way = ~1,000,000,000 meters

Goku's Effectively Ki Less Speed = 92.316 m/s

Both Gohan and Krillin should be traveling across Namek to Guru's while heavily supressing their ki, but still using more than Goku was to rush across Snake Way, over a period of 4 Day (17 Hour Days, again, for purposes of sleep and reduce confounds). Despite this, they still haven't reached Guru's.

4 Days (17 Hour Days) = 244,800 seconds
Distance Krillin and Gohan Traveled = 22,598,956.8 meters

No one so much as ever calls the distance Guru's home is away from any of Gohan/Krillin/Bulma's, Freeza, or Vegeta's home bases on the other side of the planet (and the story treats them all as being "close" together relatively speaking here). At most, we're told they're "far away" (here, here, here, here, and here) With that in mind, I'd figure treating this as if they'd need to have traveled a 1/3rd of the planet's circumference to arrive here is fairly conservative with that in mind.

Planet Namek's Circumference = 67,796,870.4 meters

Which makes it's Diameter?

Planet Namek's Diameter = 21,591,360 meters

That "fun" exercise out of the way, what's next?

Vegeta's Final Flash

The Feat

WYwummW.png

Like I've said elsewhere about the scale?

Me On Toriyama's Sense of Scale said:
I'm not going to scale off it, too many weird listed distances to choose from, but I will scale Papaya Island off that "Small Continent" statement on this basis as it gets around the issue of scaling from the map entirely given we already know what DOESN'T qualify as a "Small Continent" IRL.

Namely Greenland.

At a length of 2,670 kilometers at its largest, it still fails to hit the mark, ergo this'll be my diameter. If you don't like it, if you wanna point out Papaya Island is obviously never drawn to this scale?

No shit, this is the same man that will tell us Recoome has warped the curvature of Namek and have an island near the crater with a visible tree on it. Same with Vegeta's Final Flash on Namek, our view is clearly from space, outside the green tinted atmosphere like with Recoome, but we can still see fucking trees. Toriyama is basically ONE if ONE could draw aesthetically pleasing art in more than just kinetics. I'm well aware of this issue, that's not really relevant here. Got an issue with it? Take it up with other franchises like Bleach too where you can see Nnoitra and company visibly on Las Noches and the all of Wahrwelt's cityscapes. I didn't care much there either though, so... shrugs

If nothing else, its a clear shot outside the atmosphere on account the sky isn't green. So fuck it.

Planet Namek's Diameter = 6232 pixels
Explosion Diameter = 1423 pixels

Planet Namek's Diameter/Explosion Diameter = 0.228

Planet Namek's Diameter (Low End) = 12,742,000 meters
Planet Namek's Diameter (High End) = 21,591,360 meters (derived above)
Explosion Diameter (Low End) = 2,905,176 meters
Explosion Diameter (High End) = 4,922,830 meters


Namek Arc Vegeta's Final Flash Yield (Low End; Air blast radius [widespread destruction]) = 9.554 teratons
Namek Arc Vegeta's Final Flash Yield (High End; Air blast radius [widespread destruction]) = 49.31 teratons
Namek Arc Vegeta's Final Flash Yield (Low End; Air blast radius [near-total fatalities]) = 180.93 teratons
Namek Arc Vegeta's Final Flash Yield (High End; Air blast radius [near-total fatalities]) = 933.57 teratons

Neat

Recoome's Eraser Gun

The Feat

It's fucking stupid that Recoome's only half way to falling on his face long after the crater was excavated and the curvature permanently reshaped, but hey. Fuck it.

C5jLI8l.png

Planet Namek's Diameter = 4055 pixels
Crater Diameter = 835 pixels
Mass Ejection Distance = 708 pixels

Crater Diameter/Planet Namek's Diameter = 0.206
Mass Ejection Distance/Planet Namek's Diameter = 0.175

Planet Namek's Diameter (Low End) = 12,742,000 meters
Planet Namek's Diameter (High End) = 21,591,360 meters (derived above)
Crater Diameter (Low End) = 2,624,852 meters
Crater Radius (Low End) = 1,312,426 meters
Crater Diameter (High End) = 4,447,820.16 meters
Crater Radius (High End) = 2,223,910.08 meters

Volume = (2/3)PIr1^2r2

r1 = Crater Radius
r2 = Crater Radius/2

Crater Volume (Low End) = 2,366,098,769,598,791,000 m^3
Crater Volume (High End) = 11,512,246,053,392,420,000 m^3

Crust Density = 2,700 kg/m^3

Crater Mass (Low End) = 6,388,466,677,916,736,000,000 kilograms
Crater Mass (High End) = 31,083,064,344,159,530,000,000 kilograms

Mass Ejection Distance (Low End) = 2,229,850 meters
Mass Ejection Distance (High End) = 3,778,488 meters

mMNiGOE.png

There is no official height for Recoome, I'm sure it would be underwhelming if it existed. I scaled from Vegeta to maximize the time frame he's falling.

He's still only reached a free fall height of just knee level by the time its all done cooking though.

4j46rv2.jpg

Any rate

Vegeta = 940 pixels
Recoome Height To Knees = 1505 pixels

Recoome Height To Knees/Vegeta = 1.601

Vegeta = 1.64 meters (official height)
Recoome Height To Knees = 2.626 meters

Time Frame = sqrt(2d/g)

d = Recoome Height To Knees
g = 9.8 m/s^2

Time Frame = 0.732 seconds

Halve that to account for the travel time of the beam across the crater's radius and for the ejection of the mass from the crater.

Time Frame of Eraser Gun Travel = 0.366 seconds

and

Time Frame of Mass Ejection From Crater = 0.366 seconds

Crater Radius/Time Frame of Eraser Gun Travel = Eraser Gun Speed

Ergo?

Recoome's Eraser Gun Speed (Low End) = 3,585,863 m/s or 0.012C
Recoome's Eraser Gun Speed (High End) = 6,076,257 m/s or 0.02C

Now the KE, but I need the mass ejection speed.

Mass Ejection Speed (Low End) = 6,092,486.339 m/s
Mass Ejection Speed (High End) = 10,323,737.705 m/s

KE = 0.5mv^2

m = Crater Mass
v = Mass Ejection Speed

Recoome's Eraser Gun Yield (Low End) = 118,564,798,158,549,900,000,000,000,000,000,000 joules or 28.338 yottatons
Recoome's Eraser Gun Yield (High End) = 1,656,409,663,759,879,000,000,000,000,000,000,000 joules or 395.891 yottatons

Because why not?

Anyone else numb? :maybe

Final Form Freeza's Death Beam Speed



So, fun time on Namek?

PKFPdXW.png
7EhOLSu.jpg

So, Piccolo/Gohan/Krillin is reacting to something here going off the "!?" bubble. Same with Vegeta and the "!!"

Piccolo clarifies the only thing he could have been reacting to was the flash of light. Basically, by the time the flash of light from Freeza's ki blast reaches Piccolo for him to see it and react, the ki blast itself has already reached them and passed them by.

On its own, saying he only saw the flash of light would be meaningless, but combined with where the ki blast was in relation to Piccolo when someone in that group reacted to something, the flash of light, Freeza's attack would need to traveling the same speed or faster?

Ergo?

Final Form Freeza's Death Beam Speed = ~1C

Both Vegeta and Goku are able to fend it off with varying degrees of difficulty compared to the other at any rate.

Freeza Arc Base Son Goku's Physical Might

The Feat

TR6HNs8.png

Piccolo = 425 pixels
Piccolo To Knee = 332 pixels

Piccolo To Knee/Piccolo = 0.781

Piccolo = 2.26 meters (official height)
Piccolo To Knee = 1.765 meters

HKabbLQ.png

Piccolo To Knee = 112 pixels
Pillar = 939 pixels

Pillar/Piccolo To Knee = 8.384

Pillar = 14.798 meters

Piccolo's Height + Pillar is the Total Height Of Eye.

Total Height Of Eye = 17.058 meters


Distance to Horizon = 14,800 meters

Which is roughly the distance where the furthest island Goku punted Freeza through sits around.

noRw2k8.png

Panel Width = 826 pixels
Destruction Diameter = 32 pixels

2*atan(Object_Size/(Panel_Width/tan(FoV/2))) = object degree size

2*atan(32/(826/tan(70/2 deg)))

Destruction Diameter = 3.108 Degrees


All of which occurs behind the horizon.

Destruction Diameter = 803.02 meters

O0uK3Mi.jpg

Destruction Diameter = 360 pixels
Destruction Depth = 123 pixels

Destruction Depth/Destruction Diameter = 0.342

Destruction Depth = 274.632 meters

(1/3)r1r2r3

r1 = Destruction Diameter
r2 = Destruction Diameter/2
r3 = Destruction Depth

First Island Destruction Volume = 92,679,196.776 m^3

Honestly, just double the volume to account for the second portion of island as not all of it is ever fully shown on panel shrugs

Looks roughly comparable enough in the one shot of it we do get to see a sample of though.

Total Island Destruction Volume = 185,358,393.552 m^3

200 j/cc

Freeza Arc Base Son Goku's Physical Might = 37,071,678,710,400,000 joules or 8.86 megatons

Neat

Freeza Arc Son Goku's Genki-dama

The Feat

2iUGfID.png

I'm going to trust the AOE given the depth of the water filling the crater in the ocean shot looks particularly pithy shrugs

Planet Namek's Diameter = 728 pixels
Crater Diameter = 120 pixels

Planet Namek's Diameter/Explosion Diameter = 0.165

Planet Namek's Diameter (Low End) = 12,742,000 meters
Planet Namek's Diameter (High End) = 21,591,360 meters
Crater Diameter (Low End) = 2,102,430 meters
Crater Diameter (High End) = 3,562,574.4 meters

Volume = (2/3)PIr^3

r = Crater Diameter/2

Crater Volume (Low End) = 2,431,717,033,482,281,000 m^3
Crater Volume (High End) = 11,831,511,508,042,590,000 m^3

200 j/cc
2,260 j/cc (water vaporization)
6,147 j/cc (melting, got it using SD.net's calculator)
30342 j/cc (vaporization, got it using SD.net's calculator)

Freeza Arc Son Goku's Spirit Bomb Yield (Low End; Low End) = 486,343,406,696,456,200,000,000,000 joules or 116.239 petatons
Freeza Arc Son Goku's Spirit Bomb Yield (Low Middle End; Low End) = 5,495,680,495,669,955,000,000,000,000 joules or 1.313 exatons
Freeza Arc Son Goku's Spirit Bomb Yield (High Middle End; Low End) = 14,947,764,604,815,580,000,000,000,000 joules or 3.573 exatons
Freeza Arc Son Goku's Spirit Bomb Yield (High End; Low End) = 73,783,158,229,919,370,000,000,000,000 joules or 17.635 exatons

Freeza Arc Son Goku's Spirit Bomb Yield (Low End; High End) = 2,366,302,301,608,518,000,000,000,000 joules or 565.6 petatons
Freeza Arc Son Goku's Spirit Bomb Yield (Low Middle End; High End) = 26,739,216,008,176,250,000,000,000,000 joules or 6.391 exatons
Freeza Arc Son Goku's Spirit Bomb Yield (High Middle End; High End) = 72,728,301,239,937,800,000,000,000,000 joules or 17.382 exatons
Freeza Arc Son Goku's Spirit Bomb Yield (High End; High End) = 358,991,722,177,028,300,000,000,000,000 joules or 85.801 exatons

Let's talk about the speed at which Goku's hoovering the Genki from across the star system to create the damn thing though.

The Feat

While this arc isn't generous enough to provide a concrete time frame? It's sandwiched between the Saiyan Arc for a high end result of 10 seconds (here) to charge and a low end wherein you can extrapolate Base Vegeta likely wasn't lasting the minute he had as an SSJ2 against Kid Buu (here and here) for the Genki-dama to finish itself off.

The distance will be from an AU given he's supposed to be able to draw upon the power of the Sun, or in Namek's case trio of Suns (here and here).

Time Frame (Low End) = 60 seconds
Time Frame (High End) = 10 seconds

Distance Between Namek and Suns/Distance Genki-dama Travels = ~149,597,870,700 meters

Freeza Arc Son Goku's Genki-dama Speed (Low End) = 2,493,297,845 m/s or 8.311C
Freeza Arc Son Goku's Genki-dama Speed (High End) = 14,959,787,070 m/s or 49.866C

70% Final Form Freeza's Death Ball

The Feat

I actually think I hate this feat?

Ah well :hm

0Y1hTbK.png

The Crater Lip bulges a bit out of the ocean's depth, but there are markers you can observe that serve to tell us where the Ocean Depth is relative to the formation of the crater. If anything, the shaved away bedrock functions to low ball this as it would inflate the depth a bunch given what was shaved away and bunched up near the lip used to rest down at the Ocean Bed.

Any rate?

Ocean Depth = 12 pixels
Crater Distance = 455 pixels

Crater Distance/Ocean Depth = 37.917

Ocean Depth = 3,682 meters (average ocean depth)
Crater Distance = 139,610.394 meters

r52dXFe.png

Crater Distance = 71 pixels
Crater Lip = 10 pixels
Hole Diameter = 65 pixels

Crater Lip/Crater Distance = 0.141
Hole Diameter/Crater Distance = 0.915

Crater Lip = 19,685.066 meters
Hole Diameter = 127,743.511 meters

Surface Area = PIr^2

r = Hole Diameter/2

Hole Surface Area = 12,809,947,613.047 m^2

Now, about that planet?

Planet Namek's Diameter (Low End) = ~12,742,000 meters
Planet Namek's Diameter (High End) = 21,591,360 meters (derived above)

I'll treat the size of Namek's Core the same regardless.


Which would make our Namekian Planet Core Radius equal about 3,485,000 meters and a diameter of about 6,970,000 meters.

I can use that to determine how far the Death Ball needed to burrow before reaching the core respectively. The answer for an Earth sized Namek is about ~2,900,000 meters.

Distance Before Core (Low End) = ~2,900,000 meters

How about for the High End? Subtract (21,591,360/2) by 3,485,000 to get?

Distance Before Core (High End) = ~7,310,680 meters


Going to be using the pressure that exists at the dead center of the core to evaluate the minimum pressure exerted by such a feat given at those heats inside a sealed container? Shit like melting and vaporization ain't happening as phase transition should have already occurred at the temperatures that exist down there. Shit remains liquid/solid due to pressure and that existing pressure is insufficient to display the core in the first place.

At 364 GPA, that converts to 364,000,000,000 newtons/m^2 which I can multiply across my Hole Surface Area.

Hole Force Exerted = 4,662,820,931,149,108,000,000 newtons

Work is Force over a distance, or Hole Force Exerted multiplied by the Distance Before Core.

Energy Required to Carve Hole to Core (Low End) = 1.352 * 10^28 joules or 3.232 exatons or ~0.003 zettatons
Energy Required to Carve Hole to Core (High End) = 3.409 * 10^28 joules or 8.147 exatons or ~0.008 zettatons

That's just the hole, we're ignoring the core so far.

BwrFG20.jpg
Dragon Ball Volume 27 p043 Top Panel said:
Translate from Japanese to English with proper grammarこの星の一瞬の爆発はさけられたが中枢は破壊されたどういうことかわかるかほうっておいても大爆発をおこしナメック星は宇宙のチリとなる

The momentary explosion of this planet was avoided, but the core was destroyed. Do you understand what that means?
Even if left alone, a massive explosion will occur, and Planet Namek will become cosmic dust.

UDiWDv3.jpg
Dragon Ball Volume 27 p088 Bottom Left Panel said:
Translate from Japanese to English, consider that 星 refers to planet.空が...なんだ...!?星が爆発する寸前の異状か...!!

The sky...What is it...!?An abnormality just beforethe planet's explosion...!!
35X0E7H.jpg
Dragon Ball Volume 27 p108 Bottom Right Panel said:
Translate from Japanese to English with proper grammar. Consider that 星 refers to the planet星が縮み始めたおそらく爆発まであと2分となかろラ

The planet has started shrinking. Perhaps, there are only two minutes left until the explosion.

Someone can double check the raw/translation. I can't speak or translate, I'm stuck with ChatGPT.~

Any rate?

We know the core no longer exists. It's been destroyed. The planet is beginning to cave in on itself even. Problem being, like with the fact you're not exactly melting or vaporizing that matter given the pressure exists at keeps it where its at in the form its at despite the bullshit temperatures?

There is no reasonable model for this. We could surmise maybe Freeza booted the core out the other side of the planet, we certainly never see it, but is that really the model either? So, here's what we have.

We know the pressure that exists even at the dead center does fuck all to further compress the matter, but we can still use that as a low end for what would be exerted across the core's entire diameter to hollow out the planet.

Alternatively, we're going with E = MC^2 at the high end, because hey, why not, there was a bigass explosion of light and something that convinced North Kaio Namek was gone and something clearly came up the hole Freeza excavated.

There are no good models for this, you have a large scale sealed room murder essentially where the body went missing and the room never opened beyond a hole in the wall too small to fit it through without chopping the thing up.

We can all go mad together as I put this shit out there though~

Core Diameter = ~6,970,000 meters

I need it's surface area for purposes of the compression.

Surface Area = 4PIr^2

r = Core Diameter/2

Core Surface Area = 152,544,026,000,000 m^2

Use our 364,000,000,000 newtons/m^2 from earlier (even though this would do fuck all to compress the core in reality)

Minimum Force Exerted On Core = ~5.553 * 10^25 newtons

Distance of compression will be the Core's Diameter.

70% Final Form Freeza's Death Ball Yield (Low End; Core Compression Model) = 3.87 * 10^32 joules or 92.506 zettatons

Let's just add the "Energy Required to Carve Hole to Core" from earlier though.

70% Final Form Freeza's Death Ball Yield (Low End; Low End; Core Compression Model) = ~92.509 zettatons
70% Final Form Freeza's Death Ball Yield (Low End; High End; Core Compression Model) = ~92.514 zettatons

Yeah, this coming out to about the GBE of Earth would make sense, because hollowing out a planet without breaking open the shell is a ridiculous fucking premise in the first place.

Now for Mass to Energy conversion, because there is no God, and certainly Toriyama isn't one. I hate this feat. I hate trying to model this feat. Its too impressive respective to the parameters, but the shell being intact is a mind screw.


Mass of Core = 1.932 × 10^24 kilograms

E = MC^2

M = Mass of Core
C = ~300,000,000 m/s

70% Final Form Freeza's Death Ball Yield (High End) = 1.7388 * 10^41 joules or 0.00174 Foe

Yeah, I don't care anymore at the moment. It exists. Discuss it as you will.

100% Final Form Freeza's Physical Might

The Feat

7bLTwAM.png

Crater Lip = 76 pixels
Island = 167 pixels

Island/Crater Lip = 2.197

Crater Lip = 19,685.066 meters (derived above)
Island = 43,248.09 meters

9KUgEbj.png

Island = 234 pixels
Impact Diameter = 765 pixels
Impact Height = 1018 pixels

Impact Diameter/Island = 3.269
Impact Height/Island = 4.35

Impact Diameter = 141,378.006 meters
Impact Height = 188,129.192 meters

Volume = (2/3)PIr1^2r2

r1 = Impact Diameter/2
r2 = Ocean Depth

Ocean Depth because that'd be the limit to keeping water density in the explosion volume to the 100% of natural water density to be plain when you think about it.

Water Explosion Volume = 38,514,643,827,842.63 m^3
Water Density = 1,000 kg/m^3
Water Mass = 38,514,643,827,842,630 kilograms

Potential Energy = MGH

M = Water Mass
G = 9.8 m/s^2
H = Impact Height/3

100% Final Form Freeza's Physical Might = 23,669,356,667,048,140,000,000 joules or 5.657 teratons

Neat

First Form Freeza's Death Ball

The Feat

Now, you may be asking, why cover this when I'm not doing Super?

Because the original blog is vaporized by a bot and I'd like to be able to find things I use?

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Planet Vegeta = 910 pixels
Planet Vegeta Expansion Distance = 661 pixels

Planet Vegeta Expansion Distance/Planet Vegeta = 0.726


Planet Vegeta = 12,750,000 meters
Planet Vegeta Expansion Distance = 9,256,500 meters

Time Frame = 0.12 seconds (here and here)

Planet Vegeta Expansion Speed = 77,137,500 m/s

Planet Vegeta Mass = 5.973 * 10^25 kilograms


First Form Freeza's Death Ball Yield (Low End) = 1.87 * 10^41 joules or 0.00187 Foe

Let's try getting that "density greater than uranium" pop up off the screen though? Use it or not, I'm just doing this for fun.

Where would a uranium density planet sit at exactly? For a density of about 19,050 kg/m^3?

Planet Vegeta Diameter = 36,834,000 meters
Planet Vegeta Surface Gravity (g's) = 10

Planet Vegeta Mass (High End) = 4.985 * 10^26 kilograms

Use the ratios from before and get...

Planet Vegeta Expansion Distance = 26,741,484 meters

Time Frame = 0.12 seconds

Planet Vegeta Expansion Speed = 222,845,700 m/s


First Form Freeza's Death Ball Yield (High End) = 2.215 * 10^43 joules or 0.2215 Foe

You also have the Broly Movie showing, might as well do it for fun? Not about to suggest using it given I'm measuring a fucking reflection off a scouter from Freeza's point of view rather than our own point of view, but still completionist shit.

The Feat

XrBLFm7.png
CFhaGXc.png

Planet Vegeta = 698 pixels
Expansion Distance = 143 pixels

Expansion Distance/Planet Vegeta = 0.205

Expansion Distance (Low End) = 2,613,715 meters
Expansion Distance (High End) = 7,550,970 meters

Time Frame = 1.75 seconds (here and here)

Expansion Speed (Low End) = 1,493,571.429 m/s
Expansion Speed (High End) = 4,314,840 m/s

Planet Vegeta Mass (Low End) = 5.973 * 10^25 kilograms
Planet Vegeta Mass (High End) = 4.985 * 10^26 kilograms

First Form Freeza's Death Ball Yield (Broly Movie; Low End) = 66,621,516,397,927,170,000,000,000,000,000,000,000 joules or 15,923 yottatons or 15.923 ninatons
First Form Freeza's Death Ball Yield (Broly Movie; High End) = 4,640,497,673,230,800,000,000,000,000,000,000,000,000 joules or 1,109,106 yottatons or 1,109.106 ninatons or 1.109 tenatons

Cool

Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha

The Feat

QWDoLWg.png

Gradual slope at the lip informs some idea of what the depth should be as the crater is filled in with water.

Depth = 25 pixels
Crater Diameter = 430 pixels
Crater Depth = 275 pixels

Crater Diameter/Depth = 17.2
Crater Depth/Depth = 11

Depth (Low End) = 246.281 meters (derived above)
Depth (High End) = 3,682 meters (average ocean depth)
Crater Diameter (Low End) = 4,236.033 meters
Crater Diameter (High End) = 63,330.4 meters
Crater Depth (Low End) = 2,709.091 meters
Crater Depth (High End) = 40,502 meters

Volume = (2/3)PIr1^2*r2

r1 = Crater Diameter/2
r2 = Crater Depth

Crater Volume (Low End) = 25,440,208,167.325 m^3
Crater Volume (High End) = 85,011,822,969,781.69 m^3

200 j/cc
2,260 j/cc (water vaporization)
6,147 j/cc (melting, got it using SD.net's calculator)
30342 j/cc (vaporization, got it using SD.net's calculator)

Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (Low End; Low End) = 5,088,041,633,465,000,000 joules or 1.216 gigatons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (Low End; Low Middle End) = 57,494,870,458,154,500,000 joules or 13.742 gigatons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (Low End; High Middle End) = 156,380,959,604,546,800,000 joules or 37.376 gigatons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (Low End; High End) = 771,906,796,212,975,200,000 joules or 184.49 gigatons

Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (High End; Low End) = 17,002,364,593,956,340,000,000 joules or 4.064 teratons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (High End; Low Middle End) = 192,126,719,911,706,600,000,000 joules or 45.919 teratons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (High End; High Middle End) = 522,567,675,795,248,000,000,000 joules or 124.897 teratons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (High End; High End) = 2,579,428,732,549,116,000,000,000 joules or 616.498 teratons

Exhausted and Near-Death Freeza's Durability

The Feat

Now, I can't exactly measure the explosion of Namek, assumed time frame would be a wash.

I can compare it to Planet Vegeta's detonation though on account of why would the explosion of a planet he can cause in his First Form be more violent than one Freeza was contemplating could weaken him if he was hit by it in his Final Form? Regardless of mechanism, the end result should be no weaker.

Ergo, I can derive the kind of durability a Freeza so drained of Ki that he'd be incapable of flight (so, what, sub-22nd Chiatzu/Tien?) without Goku's gift... a gift the moron squandered.

Namek Diameter (Low End) = ~12,750,000 meters
Namek Diameter (High End) = 21,591,360 meters
Freeza Depth Under Crust (Low End) = 2,709.091 meters
Freeza Depth Under Crust (High End) = 40,502 meters

Namek Explosion Radius Reaching Freeza (Low End; Low End) = 6,372,290.909 meters
Namek Explosion Radius Reaching Freeza (Low End; High End) = 6,334,498 meters
Namek Explosion Radius Reaching Freeza (High End; Low End) = 10,792,970.909 meters
Namek Explosion Radius Reaching Freeza (High End; High End) = 10,755,178 meters

Surface Area = 4PIr^2

r = Namek Explosion Radius Reach Freeza

Namek Explosion Surface Area Reaching Freeza (Low End; Low End) = 510,012,508,347,286 m^2
Namek Explosion Surface Area Reaching Freeza (Low End; High End) = 503,980,863,294,770.2 m^2
Namek Explosion Surface Area Reaching Freeza (Planet Vegeta High End; Low End) = 1,463,092,056,294,055 m^2
Namek Explosion Surface Area Reaching Freeza (Planet Vegeta High End; High End) = 1,452,863,603,874,751 m^2

Human Cross-sectional Surface Area = ~1 m^2

Human/Namek Explosion (Low End; Low End) = 1.960736224373273 * 10^-15
Human/Namek Explosion (Low End; High End) = 1.984202323601157 * 10^-15
Human/Namek Explosion (High End; Low End) = 6.834839924788834 * 10^-16
Human/Namek Explosion (High End; High End) = 6.882958574590381 * 10^-16

Namek Explosion Yield (Low End) = 1.87 * 10^41 joules (derived above)
Namek Explosion Yield (High End) = 2.215 * 10^43 joules (derived above)

Exhausted and Near-Death Freeza Durability (Low End; Low End) = 3.667 * 10^26 joules or 87.633 petatons
Exhausted and Near-Death Freeza Durability (Low End; High End) = 4.395 * 10^28 joules or 10.504 exatons
Exhausted and Near-Death Freeza Durability (High End; Low End) = 1.278 * 10^26 joules or 30.548 petatons
Exhausted and Near-Death Freeza Durability (High End; High End) = 1.525 * 10^27 joules or 3.644 exatons

and for the Broly Movie?

Namek Diameter (Low End) = 12,750,000 meters
Namek Diameter (High End) = 21,591,360 meters
Freeza Depth Under Crust (Low End) = 2,709.091 meters
Freeza Depth Under Crust (High End) = 40,502 meters

Namek Explosion Radius Reaching Freeza (Low End; Low End) = 6,372,290.909 meters
Namek Explosion Radius Reaching Freeza (Low End; High End) = 6,334,498 meters
Namek Explosion Radius Reaching Freeza (Planet Vegeta High End; Low End) = 10,792,970.909 meters
Namek Explosion Radius Reaching Freeza (Planet Vegeta High End; High End) = 10,755,178 meters

Surface Area = 4PIr^2

r = Namek Explosion Radius Reach Freeza

Namek Explosion Surface Area Reaching Freeza (Low End; Low End) = 510,012,508,347,286 m^2
Namek Explosion Surface Area Reaching Freeza (Low End; High End) = 503,980,863,294,770.2 m^2
Namek Explosion Surface Area Reaching Freeza (High End; Low End) = 1,463,092,056,294,055 m^2
Namek Explosion Surface Area Reaching Freeza (High End; High End) = 1,452,863,603,874,751 m^2

Human Cross-sectional Surface Area = ~1 m^2

Human/Namek Explosion (Low End; Low End) = 1.960736224373273 * 10^-15
Human/Namek Explosion (Low End; High End) = 1.984202323601157 * 10^-15
Human/Namek Explosion (High End; Low End) = 6.834839924788834 * 10^-16
Human/Namek Explosion (High End; High End) = 6.882958574590381 * 10^-16

Namek Explosion Yield (Broly Movie; Low End; Low End) = 66,621,516,397,927,170,000,000,000,000,000,000,000 joules (derived above)
Namek Explosion Yield (Broly Movie; Planet Vegeta High End; Low End) = 4,640,497,673,230,800,000,000,000,000,000,000,000,000 joules (derived above)

Exhausted and Near-Death Freeza's Durability (Broly Movie; Low End; Low End) = 1.306 * 10^23 joules or 31.221 teratons
Exhausted and Near-Death Freeza's Durability (Broly Movie; Low End; High End) = 9.208 * 10^24 joules or 2.201 petatons
Exhausted and Near-Death Freeza's Durability (Broly Movie; Planet Vegeta High End; Low End) = 3.172 * 10^22 joules or 7.581 teratons
Exhausted and Near-Death Freeza's Durability (Broly Movie; Planet Vegeta High End; High End) = 3.194 * 10^24 joules or 763.393 teratons

Neat.

I don't feel like covering the speed of the Namekian Dragon Balls right now. Cui's Ki Blasts are generic and bit feat like, as is the Namekian Warrior's Ki Blast. Bit feat, but it's not awful that Vegeta bulldozed through this cave roof. Gohan and Krillin's feat is generic and rather a shallow crater (though it does show they can move as fast as they fire their ki blasts when powered up, so that's neat) as is Captain Ginyu's Ki Blast. Not covering 2nd Form Freeza's feat, his generic explosion AOE with the Imprisonment Ball, or his Daichiretsuzan.

Final Tally

Dodoria's Maximum Buster Yield = 2.274 gigatons

Zarbon's Elegant Blaster Yield = 58.735 gigatons

Zarbon's Physical Might = 50.521 kilotons

Namek Arc Vegeta's Final Flash Yield (Low End; Air blast radius [widespread destruction]) = 9.554 teratons
Namek Arc Vegeta's Final Flash Yield (High End; Air blast radius [widespread destruction]) = 49.31 teratons
Namek Arc Vegeta's Final Flash Yield (Low End; Air blast radius [near-total fatalities]) = 180.93 teratons
Namek Arc Vegeta's Final Flash Yield (High End; Air blast radius [near-total fatalities]) = 933.57 teratons

Recoome's Eraser Gun Speed (Low End) = 0.012C
Recoome's Eraser Gun Speed (High End) = 0.02C

Recoome's Eraser Gun Yield (Low End) = 28.338 yottatons
Recoome's Eraser Gun Yield (High End) = 395.891 yottatons

Final Form Freeza's Death Beam Speed = ~1C

Freeza Arc Base Son Goku's Physical Might = 8.86 megatons

Freeza Arc Son Goku's Spirit Bomb Yield (Low End; Low End) = 116.239 petatons
Freeza Arc Son Goku's Spirit Bomb Yield (Low Middle End; Low End) = 1.313 exatons
Freeza Arc Son Goku's Spirit Bomb Yield (High Middle End; Low End) = 3.573 exatons
Freeza Arc Son Goku's Spirit Bomb Yield (High End; Low End) = 17.635 exatons
Freeza Arc Son Goku's Spirit Bomb Yield (Low End; High End) = 565.6 petatons
Freeza Arc Son Goku's Spirit Bomb Yield (Low Middle End; High End) = 6.391 exatons
Freeza Arc Son Goku's Spirit Bomb Yield (High Middle End; High End) = 17.382 exatons
Freeza Arc Son Goku's Spirit Bomb Yield (High End; High End) = 85.801 exatons

Freeza Arc Son Goku's Genki-dama Speed (Low End) = 8.311C
Freeza Arc Son Goku's Genki-dama Speed (High End) = 49.866C

70% Final Form Freeza's Death Ball Yield (Low End; Low End; Core Compression Model) = ~92.509 zettatons
70% Final Form Freeza's Death Ball Yield (Low End; High End; Core Compression Model) = ~92.514 zettatons
70% Final Form Freeza's Death Ball Yield (High End) = 0.00174 Foe

100% Final Form Freeza's Physical Might = 5.657 teratons

First Form Freeza's Death Ball Yield (Low End) = 0.00187 Foe
First Form Freeza's Death Ball Yield (High End) = 0.2215 Foe
First Form Freeza's Death Ball Yield (Broly Movie; Low End) = 15,923 yottatons or 15.923 ninatons
First Form Freeza's Death Ball Yield (Broly Movie; High End) = 1,109,106 yottatons or 1,109.106 ninatons or 1.109 tenatons

Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (Low End; Low End) = 1.216 gigatons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (Low End; Low Middle End) = 13.742 gigatons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (Low End; High Middle End) = 37.376 gigatons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (Low End; High End) = 184.49 gigatons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (High End; Low End) = 4.064 teratons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (High End; Low Middle End) = 45.919 teratons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (High End; High Middle End) = 124.897 teratons
Freeza Arc Super Saiyan Son Goku's Ikari no Kamehameha Yield (High End; High End) = 616.498 teratons

Exhausted and Near-Death Freeza Durability (Low End; Low End) = 87.633 petatons
Exhausted and Near-Death Freeza Durability (Low End; High End) = 10.504 exatons
Exhausted and Near-Death Freeza Durability (High End; Low End) = 30.548 petatons
Exhausted and Near-Death Freeza Durability (High End; High End) = 3.644 exatons
Exhausted and Near-Death Freeza's Durability (Broly Movie; Low End; Low End) = 31.221 teratons
Exhausted and Near-Death Freeza's Durability (Broly Movie; Low End; High End) = 2.201 petatons
Exhausted and Near-Death Freeza's Durability (Broly Movie; Planet Vegeta High End; Low End) = 7.581 teratons
Exhausted and Near-Death Freeza's Durability (Broly Movie; Planet Vegeta High End; High End) = 763.393 teratons
About author
ChaosTheory123
I do high school physics for stupid shit because I find it fun for some ridiculous reason.

I'm neither a physicist or engineer. I study psychology.

Before taking me at my word, think for yourself and don't just appeal to the shit I'm posting without evaluating it yourself. That should go without saying. I'm not an expert, do not treat me like one.

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