So this feat is going to attempt to quantify one of the lesser talked about scenes in the Naruto manga, which is when Madara used his Kyuubi Susanoo form to slice through mountains with air pressure alone.
Attempt #1:
Kyuubi's head = 113 feet (according to here ) = 34.44 meters = 15 pixels
Mountaintop 1 height = 40 pixels = 91.73m
Mountain 1 radius = 65 pixels = 149.07m
Mountain 1 jump - 25 pixels = 57.4m
Mountaintop 2 height = 44 pixels = 100.91 m
Mountain 2 radius = 87 pixels = 199.52m
Mountain 2 jump - 51 pixels = 117.096m
Mountaintop 3 height = 47 pixels = 107.79m
Mountain 3 radius = 73 pixels = 167.41m
Mountain 3 jump = 37 pixels = 84.952m
Mountaintop 4 height = 63 pixels = 144.48m
Mountain 4 radius = 110 pixels = 252.27m
Mountain 4 jump = 40 pixels = 91.84m
For the two other mountain farthest away and closest to the viewer, I will assume they are equal in energy to whichever mountain has the lowest yield of the four because scaling them this way is inaccurate.
I'll model each mountain as a right cone.to find volume, where volume = (1/3)(pi)(r^2)(h)
Density of rock = 2700 kg/m^3
Gravitational potential energy is mgh.
Mountain 1 GPE energy = 3.2454x10^12 Joules
Mountain 2 GPE energy = 1.3047x10^13 Joules
Mountain 3 GPE energy = 7.1183x10^12 Joules
Mountain 4 GPE energy = 2.3422 x10^13 Joules
So we just add these values up and get our total energy, right? Wrong. GPE is the energy required to lift the mountain. What about the energy required to physically cut it? That would be shear force, which equals shear strength times shear area. You can find the shear strength by multiplying the tensile strength of a material by some factor. I will use a factor of 0.6 here, common for most steels.
This link tells me the tensile strength of rock varies from 8 MPa to 20 MPa so I will use 10 MPa (aka 1x10^7 N/m^2)
I'll model the area of each mountain slice as a circle (where A=(pi)r^2), so:
Mountain 1: 69812.048m^2
Mountain 2: 125061.24m^2
Mountain 3: 88046.62m^2
Mountain 4: 199931.43m^2
So the sheer force for each mountain is:
1: 4.188 x 10^11 N
2: 7.504 x 10^11 N
3: 5.283 x 10^11 N
4: 1.199 x 10^12 N
Then we just consider that Work = Force x Distance, where the distance traveled for the slash is the diameter of the mountain aka 2r.
So the shearing energy for each is:
1: 1.29 x 10^14 Joules
2: 2.994 x 10^14 Joules
3: 1.769 x 10^14 Joules
4: 6.049 x 10^14 Joules
Now we add them all together to get: 1.515 x 10^15 Joules = 362.1 kilotons of TNT = large town level
Meh nice bit feat I guess.
Attempt #2:
I will still use the scaling from part 1, however, I will use them to approximate kinetic energy instead.
My method seems a bit close to calc stacking, however, so I would appreciate criticism on it.
So we know that Prime Madara completed a full-circle with his sword (at least one full-cirlce) before Hashirama could stop him and that result in the panel we see. However, Prime Hashirama outspeed a mach 449 bijuudama so the speed of the slash must have at least been that. We can find a timeframe based off that.
Mach 449 = 154,007 m/s
Diameter of sword circle = 92 pixels = 211.232 meters so circumference = 663.605m
Timeframe = 663.605m/154007m/s = 0.0043089 seconds
From that, we can determine the speed of each mountaintop (using the scaled jumps):
1: 57.4m/0.0043089s = 13321.265m/s
2: 117.096m/0.0043089s = 27175.381m/s
3: 84.952m/0.0043089s = 19715.473m/s
4: 91.84m/0.0043089s = 21314.024m/s
Then we determine KE (using the volumes I applied above):
1: 1.894 x 10^14 Joules
2: 1.5533 x 10^15 Joules
3: 6.148 x 10^14 Joules
4: 2.1871 x10^15 Joules
Total energy: 4.5446 x 10^15 Joules = 1.086 megatons of TNT = small city level
Still sort of a bit feat but since I was only calc'ing the effects of the slash, it can be assumed that the slash was >>>> in energy