Executive Summary[]
Assorted feats for Kung Fu Panda of Dreamworks.
Calculation - Paws of Destiny - The Meteor Feat[]
As JJSliderMan claims in here,
| “ | So this is a fairly straightforward one. In Episode 2, 5:21, Master Black Tortoise conjures a shield bigger than the Earth, and stops a meteor from crashing into it. Seeing as Master Tortoise went to all the trouble to create such an enormous shield, it's likely this meteor was capable of doing some serious damage. A meteor the size of Mount Everest is enough to wipe out all life over time and hits with about 1.3844593e+23 Joules, or Country Level. | „ |
But the problem is: there is no calculation!
So I am adding in one.
First: This is a retelling by Po about the Master Black Tortoise, and while the following is said by Po, the scene is portrayed as part of Po's verbal descriptions in Bao's imagination.
| “ | Always put the needs of others above his own. He was the most selfless of all the Four Constellations. One time he even stopped a meteor from hitting the earth… using only his chi. | „ |
| ~ Po (explaining to Bao how awesome Black Tortoise is as Bao imagines and over exaggerated the feat, Blue Dragon Plays with Fire, Kung Fu Panda: Paws of Destiny |
For the feat itself... Assuming a meteor did get deflected by a mirror ki shield, I have nothing other than a picture depicting a meteor about to get blocked by a chi shield bigger than the meteor itself. Nothing suggested that the meteor is a big one or a small one. Nor is Po suggesting the actual size of the meteor. Nor is he hinting that the meteor itself is life-wiping or planet busting etc.
Calculation - Paws of Destiny - The Meteor Feat - Hoba[]
Mass of Hoba meteorite = 60000 kg
And
- likely hitting the Earth at 12.8 km/s or Mach 37.32 (High Hypersonic)
- likely entering the Earth orbit at 20 km/s or Mach 58.31 (High Hypersonic+)
Low end KE = 0.5 * 60000 * 12800^2 = 4.92E+12 J = 1174.761 ton TNT (Small Town)
High end KE = 0.5 * 60000 * 20000^2 = 1.2E+13 J = 2868.069 ton TNT (Small Town)
Calculation - Paws of Destiny - The Meteor Feat - Brenham[]
Mass of Brenham meteorite = 4300 kg
Low end KE = 0.5 * 4300 * 12800^2 = 3.52E+11 J = 84.1912 ton TNT (City Block+)
High end KE = 0.5 * 4300 * 20000^2 = 8.6E+11 = 205.5449 ton TNT (Multi City Block)
Calculation - Paws of Destiny - The Meteor Feat - Canyon Diablo Crater[]
This. About 10 megatons TNT. (City)
Mass of crater = (10*1,000,000*4.184*10^9 J)/(speed)^2/0.5
(Low end for higher speed and lower mass) 209,200,000 kg (Class M)
(High end for lower speed and higher mass) 510,742,188 kg (Class M)
Calculation - Paws of Destiny - The Meteor Feat - The K-T event[]
Assume that meteor is similar in size to the meteor that caused this K-T event which has wiped many lives in prehistorical times over time. Which is > 10 km in diameter. And likely entering the Earth orbit at 20 km/s.
Volume = 4/3 * pi * (10,000 m/2)^3 = 5.23599E+11 m^3
Assume chondrite composition and density of ~3350 kg/m^3, mass of chondrite meteor = 1.75406E+15 kg (Class P)
Lower absolute high end KE = 0.5 * (1.75406E+15) * 12800^2 = 1.43692E+23 J = 3.43433E+13 ton TNT (Country)
Absolute high end KE = 0.5 * (1.75406E+15) * 20000^2 = 3.50811E+23 J = 8.38459E+13 ton TNT (Country+)
Actually not bad - in fact better than what JJSliderMan claims. But way less than being multi-continent level or planet level or galaxy level or even universe level.
Calculation - Paws of Destiny - The Meteor Feat - Direct Measurement by Jasonsith[]
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Phantom Falcon insisted the feat is totally calculable. I will try.
Researchers believe that without obstructions, a person with healthy but average vision could see a candle flame from as far as 1.6 miles. (This site and MIT may charge a free click count per opening. You are warned.)
And a candle flame can be as small as 1 cm. Switch on a gas stove and observe yourself.
This gives a visibility range of 2574.9504 m on an object with a diameter of 0.01 m or radius of 0.005 m. This is important as I am assuming Black Tortoise can deflect the meteor by the time it becomes as visible as a candle flame.
Angle of view = arctan(0.005 m / 2574.9504 m) = 1.94178497573923E-06 radian
Earth diameter = 161 px = 12742000 m
Earth radius = 6371000 m
Screen height = 720 px
Earth rim distance from camera = object size * panel height in pixels/[object height in pixels*2*tan(70deg/2)] = 40689976.92 m
Meteor diameter = 208.3866598 px
Now:
object height = 2 x object radius = 2 x (distance from earth surface to object x tan(angle))
object height = 2*tan(70deg/2) * distance from point of view to object * object height in pixels / panel height in pixels
= 2*tan(70deg/2) * (distance from point of view to earth rim - earth radius - distance from earth surface to object) * object height in pixels / panel height in pixels
distance from earth surface to object = (distance from point of view to earth rim - earth radius) / (2 x tan(angle) / (2*tan(70deg/2) * object height in pixels / panel height in pixels) + 1)
= 34318648.1 m
Object diameter = 2 * tan(1.94178497573923E-06 radian) * 34318648.1 m = 133.2788705 m
Object radius = 66.63943526 m
Object volume = 4/3 * PI * (66.63943526 m)^3 = 1239602.756
Meteor mass = 1239602.756 * 3350 = 4152669233 kg (Class G)
Meteor speed of 11km/s (low end) // 12.8 km/s (mid end) // 20 km/s (high end) gives...
Low end KE = 0.5 * 11000^2 * 4152669233 = 2.51236E+17 J = 60046961.91 tons TNT (City+)
Mid end KE = 0.5 * 12800^2 * 4152669233 = 3.40187E+17 J = 81306563.96 tons TNT (City+)
High end KE = 0.5 * 20000^2 * 4152669233 = 8.30534E+17 J = 198502353.4 tons TNT (Mountain)
The sweet part?
Speed of Black Tortoise shooting the shield out = 34318648.1 m / ~2.235 (from this clip at 6.606 to 8.841)
=15355099.82 m/s
= mach 44767.05487
= 5.12191% c (Sub-relativistic+)
Again, assuming the image from the head of Bao was totally reliable. Which is not. As Nu Hai fancied laser clocking from an exposition of "Blue Dragon has sharp arrow skills" from herself reading "homework" about histories of masters.
Calculation - Paws of Destiny - The Meteor Feat - Direct Measurement by Unknown G1 Bloggers[]
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| KE Calc part 1 |
| KE Calc part 2 |
| KE Calc part 3 |
| Shield shooting speed |
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| Earth diameter = 328 px = 12742000 m as Earth radius = 6371000 m Panel height = 348 px Distance from first point of view to Earth (DE1) = 12742000 * 348 / (328*2*TAN(70*PI()/180/2)) = 9653531.62 m Red line: 83 px = 12742000 m Panel height 350 px Distance from second point of view to Earth (DE2) = 12742000 * 350 / (83*2*TAN(70*PI()/180/2)) = 38368142.6 m Distance from camera 1 to camera 2 (wrongly assumed to be the distance between the POV2 and the shield) = 38368142.6 m - 9653531.62 m = 28714611 m |
| Red line on shield (2-1 pic): 68 px Panel height 350 px Partial shield size = 2*TAN(70*PI()/180/2) * 28714611 m * 68/350 = 7812689.84 m Red line on shield (2-2 pic): 71 px = 7812689.84 m Panel height 350 px Distance from second point of view to shield = 7812689.84 * 350 / (71*2*TAN(70*PI()/180/2)) = 27501317.6 m |
| Panel height 397 px Meteor major diameter (blue line) = 136.88 px = 136.88/397 * 27801317.6 * 2*TAN(70*PI()/180/2) = 13278828.7 m Meteor minor diameter (green line) = 103.45 px = 103.45/397 * 27801317.6 * 2*TAN(70*PI()/180/2) = 10035760 m Volume = 7.0e20 m^3 Chondrite density: 3700 kg/m^3 Mass of meteor = 2.59e24 kg Velocity of meteor = 27501317.6 m / 0.75 s (because why not) = 36668423.5 m/s Plugging data into relativistic KE calculator, relativistic KE = 1 761 006 231 831 167 461 041 150 109 589 453 711 376 J = 1.76100623e39 J (Dwarf Star) This can be further wanked upwards by surface area ratio upscaling. Surface area ratio upscaling: 7.29040097x (appears from nowhere by unknown person) Potential shield KE = 1.76100623e39 * 7.29040097 = 1.28384415e40 J = 3.068 Quettaton TNT (Dwarf Star) |
| Distance from second point of view to shield = 27501317.6 m Distance from second point of view to Earth = 38368142.6 m Shield travel distance = 38368142.6 - 27501317.6 = 10866825 m Shield travel time = 1 s Black Tortoise combat speed and reactions = Shield travel speed = 10866825 m/s = 3.6% c (Sub-relativistic) |
| Verdict |
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| I took a long time to digest the verdict...
And not just is the source of the feat questionable, the researcher made wrong assumptions about the camera zooming and therefore making wrong assumptions about the distance of the shield from Earth and its size. Suspected calc stacking may happen. |
Calculation - Legends of Awesomeness - Po vs Bian-Zao (Mystical Energy)[]
In Legends of Awesomeness, Po dodged Bian-Zao’s electricity, which are stated to be lightning bolts, albeit mystical ones.
Does not scar objects, does not zap, not natural lightning.
Calculation - Legends of Awesomeness - Po vs Pang Bing (Mystical Energy)[]
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First, Pang Bing is a sorceress. Her lightning being natural lightning is questionable.
Second, the said mystical energy does not zap Po, just slams Po into a wall like an energy blast or pseudo-telekinesis. The lightning properties are questionable if straight out negligible aside from looking like one.
Does not bother calculating speed of such.
Calculation - Legends of Awesomeness - Elephant destroys a large rock in one hit[]
This - Legends of Awesomeness feat
Synopsis: Former Furious Five recovered the sword of Xi'an, only for Xi'an's spirit to possess Elephant. In the grip of Xi'an, Elephant attacked his teammates and sliced a boulder into two halves.
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Po's height = 6'2" or 187.96 cm while he is ~80.6988665 px in the picture.
The boulder was cut in two halves, I am therefore making the calculation of the crack destroyed.
Boulder length = 327.136057 px or 761.949901 cm
Boulder thickness = 220 px or 512.413641 cm
Assume crack thickness = saw thickness = 0.225 cm
The boulder look pretty flat surprisingly, so I take it as a trapezium prism block.
Volume = 0.225 cm * 761.949901 cm * 512.413641 cm = 87847.5427 cm^3
Rock composition
Fragmentation = 87847.5427 cm^3 * 8 J/cm^3 = 702780.3416 J (Wall)
Violent fragmentation = 87847.5427 cm^3 * 69 J/cm^3 = 6061480.446 J (Wall)
Pulverisation = 87847.5427 cm^3 * 214 J/cm^3 = 18799374.14 J (Wall+)
Super unimpressive.
Assume the whole boulder is mildly fragmented instead?
Boulder width = 377 px = 878.090648 cm
Boulder volume = 878.090648 cm * 761.949901 cm * 512.413641 cm = 342836025 cm^3
Fragmentation = 342836025 cm^3 * 8 J/cm^3 = 2742688204 J = 0.65551821 ton TNT (Building) - the most I can accept
Violent fragmentation = 342836025 cm^3 * 69 J/cm^3 = 23655685757 J = 5.65384459 ton TNT (Large Building)
Pulverisation = 342836025 cm^3 * 214 J/cm^3 = 73366909450 J = 17.5351122 ton TNT (City Block)
Calculation - Legends of Awesomeness - Kim the Invincible breaks apart some wall of China[]
This - Legends of Awesomeness feat
Synopsis: Kim the Invincible just arrived at China and he slide-opened and destroyed a small segment of the Great Wall of China to make a small way for him to get in.
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I do not have the official height of Kim, but I did have one good scaling of Kim from Po.
Po's height = 6'2" or 187.96 cm while he is ~56.5154846 px in the picture.
In comparison, Kim's height = 83 px / 56.5154846 px * 187.96 cm = 276.042577 cm
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Here, Kim's height = 82.7647268 px or 276.042577 cm
Wall height = 348.759229 px / 82.7647268 px * 276.042577 cm = 1163.20563 cm
Wall width = 263.321097 px / 82.7647268 px * 276.042577 cm = 878.24653 cm
Wall thickness = 112.058021 px / 82.7647268 px * 276.042577 cm = 373.743574 cm
1 wall segment volume = 1163.20563 cm * 878.24653 cm * 373.743574 cm = 381809450 cm^3 = 381.80945 m^3
2 wall segments volume = 381.80945 * 2 = 763.6189 m^3
The 2 segments of walls seem to be well filled with cement bricks and cement so I am not discounting any hollowness.
Density of cement = 2.8 g/cm^3 or 2800 kg/m^3 - yes Middle Ages Chinese were smart enough to use cement and china - guess why it is called China.
Mass of 1 wall segment = 763.6189 m^3 * 2800 kg/m^3 = 1069066.4592 kg
Mass of 2 wall segments = 2 * 763.6189 m^3 * 2800 kg/m^3 = 2138132.9184 kg
Coefficient of friction of masonry against concrete = average of 0.6 to 0.7 = 0.65
Lifting strength = 2138132.9184 kg * 0.65 = 1389786.39698858 kg (Class M)
Wall crack width = 90.6697303 px / 82.7647268 px * 276.042577 cm = 302.407885 cm
Displacement of each wall = half wall crack width = 302.407885 / 2 = 151.203943 cm or 1.51203943 m
Time elapsed = 2.808 - 1.669 = 1.139 s
Speed = 1.51203943 m / 1.139 s = 1.32751486 m/s
KE = 2 * (0.5 * (1.32751486 m/s)^2 * 1069066.4592 kg) = 1884011.23 J (Wall)
Kim also destroyed a good chunk of cement structure.
Crack volume = 1163.20563 cm * 373.743574 cm * 302.407885 cm = 131468995 cm^3
| Properties | Yield (J) | Yield (ton TNT) |
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| Mild frag end (6 J/cc) | 7.89E+08 | 0.18853106 (Small Building+) |
| Low violent frag end (17 J/cc) | 2.23E+09 | 0.53417135 (Building) |
| Mid violent frag end (18.5 J/cc) | 2.43E+09 | 0.58130411 (Building) |
| High violent frag end (20 J/cc) | 2.63E+09 | 0.62843688 (Building) |
| Pulv end (40 J/cc) | 5.26E+09 | 1.25687375 (Building+) - my pick for courtesy |
Calculation - Paws of Destiny - Po Seals Jindiao away[]
This - Paws of Destiny feat
It took roughly 50 seconds to seal Jindiao away. And this Jindiao was bound by "Four Constellations". And tug of war with Po and the Four versus Jindiao still took 50 seconds. So the seal should work only with matching or even overwhelming strength.
Scaling[]
One post-Wellspring-amped Po = One prime Jindiao = at least 1 constellation master, possibly 4 constellation masters
Likely the Canyon Diablo Crater should be accepted and this means derivable AP ceiling of Paws of Destiny = at least city, possibly higher.
Should the absolute absolute high end be accepted, this means derivable AP ceiling of Paws of Destiny = at least country+, possibly large country level.