This calc aims to find the yield of Kim the Invincible breaking apart the Great Wall of China in Kung Fu Panda: Legends of Awesomeness. The feat can be found here (or alternatively here if the other link doesn't work).
Motivation[]
There are two aspects in particular that I want to recalculate. The first is the material used in building the Great Wall of China. Jasonsith calculated the material as cement. However, the texture of the wall is far more like that of stone bricks. This stone makes up the majority of the wall, and is simply held together by the cement. It is also worth mentioning that the stone is not of a negligible size, and that stone was commonly used as a building material for the Great Wall of China in mountainous regions.
The second aspect is the height of Kim the Invincible. Dark-Carioca provided a better image for scaling Kim's height to Po, where the two are more clearly standing side by side. I doubt this will impact the results much though.
The original calc can be found here.
Height Scaling[]
Po's height is 6"2, or 187.96 cm. In the image, Po is 304px and Kim is 495px. So Kim's height is 495/304 * 187.96 = 306.0533 cm. A small difference from Jasonsith's, but more accurate. To be specific, this is 1.1087 times higher than what Jasonsith calculated. This means that the new dimensions for the wall are:
Height: 1,289.6461 cm Width: 973.7119 cm Thickness: 414.3695 cm Wall Crack Width: 335.2796 cm Displacement of each wall: 167.6398 cm
So the volumes are as follows:
Wall Segment Volumes: 1,040.6838 m^3 (for both wall segments) Crack Volume: 179,170,069 cm^3
High End (sorta)[]
When I asked Armorchompy about this, he said that using stone would be reasonable. According to this], the average density of Granite is 2.64 g/cm^3, or 2640 kg/m^3.
Lifting Strength: I'm not sure what the relevant friction coefficient would be here. Using Jasonsith's for masonry against concrete (0.65), this would yield 2,640 * 1040.6838 * 0.65 = 1785813.4 kg (Class M).
Kinetic Energy: I do think the timeframe may be shorter, but I don't think it makes much of a difference. KE = 0.5 * (1.32751486 m/s)^2 * 2640 * 1,040.6838 = 2,420,870 J (Wall level)
Destruction: Kim destroyed a good chunk of the structure. As seen in the image, there is a large quantity of dust and also a small amount of tiny rubble. Violent Frag and Pulverization are the only reasonable ends imo.
With V Frag: 69 * 179,170,069 = 1.2363 x 10^10 J, 2.9548 tons of TNT, Large Building level.
With Pulv: 214.35 * 179,170,069 = 3.8405 x 10^10 J, 9.1790 tons of TNT, Large Building level+.
Cement Assumption[]
There is a small yet noticeable amount of cement in between the stone bricks. It's hard to say how much exactly, since the width of the stone bricks varies, so using this image, I scaled Kim as 156 px, and the two other lines as 27px and 31px for the brick without and with the line of cement respectively. This means that about 12.9% of the wall's structure is made of cement, which is generous as is.
To calculate the new densities and destruction values, I'll use the rule of mixtures as an approximation: f(cement) + (1-f)(concrete) = new density/destruction value (f is fraction of reinforcement).
New Density: The density of cement is 2,800 kg/m^3. 0.129 * 2,800 + 0.871 * 2,640 = 2660.64 kg/m^3
New Mass: 1,040.6838 * 2660.64 = 2,768,885 kg.
New V Frag Value: Violently fragmenting cement requires between 17 J/cc and 20 J/cc. I'll use 18.5 J/cc as a mid end. 0.129 * 18.5 + 0.871 * 69 = 62.4855 J/cc.
New Pulverization Value: Pulverizing cement requires 40 J/cc. 0.129 * 40 + 0.871 * 214.35 = 191.8589 J/cc.
Low End (Sorta)[]
Lifting Strength: 2,768,885 * 0.65 = 1,799,775 kg (Class M)
Kinetic Energy: 2,768,885 * 0.5 * (1.32751486 m/s)^2 = 2,439,797 J (Wall level).
Violent Fragmentation: 62.4855 * 179,170,069 = 1.1196 x 10^10 J, 2.6759 tons of TNT, Large Building level
Pulverization: 191.8589 * 179,170,069 = 3.4375 x 10^10 J, 8.2159 tons of TNT, Large Building level+
My Thoughts[]
The only other thing I'd consider changing about the original calc would be the timeframe for the KE calculation, though this is very unlikely to make a difference. In terms of this calculation, the only thing I'm not confident about is using the rule of mixtures to estimate the destruction values for the Wall of China. Whichever end is accepted for the destruction values, pulverization is my preferred end.
I'll cover scaling in more detail in a future thread. But for now, Kim the Invincible is the only character who would scale solidly to this feat (since he's the one who does it). Po will downscale to it, but since this feat is done in one of the last episodes of Legends of Awesomeness, it will only scale to Po at the end of LoA, and KFP3, and even then it'll only be a "likely" or a "possibly". The only other characters this would scale to are Pang Bing's magic (if we ever make her profile) and potentially Fenghuang, for being somewhat comparable to Po near the end of LoA season 3.
Summary[]
Assuming only Stone:
- Lifting Strength: 1,785,813.4 kg (Class M).
- Kinetic Energy: 2,420,870 J (Wall level).
- V Frag: 2.9548 tons of TNT, Large Building level.
- Pulv: 9.1790 tons of TNT, Large Building level+.
Assuming Stone + Concrete:
- Lifting Strength: 1,799,775 kg (Class M)
- Kinetic Energy: 2,439,797 J (Wall level).
- Violent Fragmentation: 2.6759 tons of TNT, Large Building level (Accepted end)
- Pulverization: 8.2159 tons of TNT, Large Building level+