So apparently one of the guidebooks confirs that Pinkie's toonforce is a form of magic or something.
Edit: Not a guidebook, but this.
The calculation[]
Earthquake energy[]
Method based off this and this.
Feat here. Pinkie causes an earthquake with a megaphone. She probably did most of it because of the reason stated above. Feat happened in Wonderbolts Academy which is one of two Season 3 episodes I actually like. And one of the few I actually remember.
So Pinkie is 36 pixels and the camera center is 240 pixels. I consistently calculated ponies at about 0.9 - 1 meters so 0.9 seems fair here.
240 / 36 = 6.66666666667
0.9 * 6.66666666667 = 6 meters. Horizon distance is about 8.7 Kilometers
The earthquake wasn't particularly damaging, but it did shake mountains and stuff so VI-V1.5 on the Mercalli scale seems usable?
VI. Felt by all, many frightened. Some heavy furniture moved; a few instances of fallen plaster. Damage slight.-earthquake.usgs.gov. Seems like a reliable source.
According to God Movement, 4.5 is 5000mm Each level is x10.
5.5 = 5000 * 10 = 50,000
6.5 = 50,000 * 10 = 500,000
Now we convert our km into miles. It converts to 5.40593 miles
Then divide that by 5.7
We end up with 0.94840877193
log(base10)500000+3log(base10)[8*0.94840877193]-2.92 = 5.41923
2.028 Kilotons
Underwhelming but we have two Low 7-C calcs now.
Kinetic energy[]
High end[]
According to Wikipedia, the UN classifies Mountains as having a height of at least 2,500 meters.
The mountain has a height of 93 pixels and a rough radius of 96 pixels.
96 / 93 = 1.03225806452'
1.03225806452 * 2,500 = 2580.6451613 meters
(pi * r2 * h)/3
(pi * 2580.6451613^2 * 2,500)/3 = 17,435,130,925.4 m^3
Not sure what to do with density. I guess continental crust? That has a density of 2,700 kg/m^3
17,435,130,925.4 * 2,700 = 4.7074853e+13 kg
There are at least 9 mountains as big or bigger than the one I calced that moved so lets times that by 9. We'll keep the base value as a low ball.
4.7074853e+13 * 9 = 4.2367368e+14 kg
So the height in this shot is 130 pixels. If you're wondering why it's suddenly higher, it's because framebyframe has a higher natural resolution than YT. The distance it moved (based off the distance the pink line is to the snow) is 43 pixels
130 / 43 = 3.02325581395
2,500 / 3.02325581395 = 826.923076924 m
It starts to move at 00:02:01 and reached its fully moved state at 00:02:36
2.36 - 2.01 = 0.35s
826.923076924 meters / 0.35s = 2,362 m/s
4.2367368e+14 * 0.5 * 2,362^2 = 1.1818471e+21 J
282 Gigatons
4.7074853e+13 * 0.5 * 2,362^2 = 1.3131634e+20 J
31.38 Gigatons
Low end[]
It was said that 2,500 meters may be to high for standard mountains and 300 m should be used instead.
96 / 93 = 1.03225806452'
1.03225806452 * 300 = 309.677419356 meters
(pi * r2 * h)/3
(pi * 309.677419356^2 * 300)/3 = 30,127,906.239 m^3
30,127,906.239 * 2,700 = 81,345,346,845.3 kg
81,345,346,845.3 * 9 = 732,108,121,608 kg
300 / 3.02325581395 = 99.2307692309 meters
99.2307692309 / 0.35s = 283.516484 m/s
81,345,346,845.3 * 0.5 * 283.516484^2 = 3.2693344e+15 J
781 Kilotons
732,108,121,608 * 0.5 * 283.516484^2 = 2.942401e+16 J
7 Megatons
High high end[]
Doing this in case 4,500 meters is accepted.
1.03225806452 * 4,500 = 4,645.16129034 meters
(pi * 4,645.16129034^2 * 4,500)/3 = 101,681,683,557 m^3
4,500 / 3.02325581395 = 1,488.46153846 meters
1,488.46153846 meters / 0.35s = 4,252.74725 m/s
101,681,683,557 * 2,700 = 2.7454055e+14 kg
2.7454055e+14 * 0.5 * 4,252.74725^2 = 2.4826509e+21 J
593 Gigatons
2.7454055e+14 * 9 * 0.5 * 4,252.74725^2 = 2.2343858e+22 J
5.34 Teratons
Results[]
- Seismic Energy end: 2.028 kilotons
- KE low end: 33.71 Gigatons
- KE high end: 303 Gigatons
- KE Low-low-low end: 781 Kilotons
- KE Low-low-high end: 7 Megatons
- KE High-high-low end: 593 Gigatons
- KE High-high-high end: 5.34 Teratons