Hello, everyone! Migue79 here to bring you all another Mega Man calc. This time, I will be calculating this feat! There is technically an old version of this made by Proto, but I figure I'd give this an update and add a few spins that might make this interesting.
Calculation[]
Using Rock's canonical height, I can find the height of a portion of the stage. I'll use this portion's height to then find the dimensions of the Wily Castle. Here we go.
120px = 1.33 meters
1434px = 15.894 meters
Large-Sized Cylinder Building[]
69px = 15.894 meters
1629px = 375.24 meters
330px = 76.02 meters
To account for the satellite above, I will assume that the 76.02 meters is the radius of the cylinder's base.
Volume: 6.81e6 m3
Small-Sized Cylinder Building[]
459px = 105.73 meters
636px = 146.501 meters
Volume: 1.29e6 m3
Lower Disk Building[]
612px = 140.973 meters
2901x = 668.24 meters
Volume: 4.94e7 m3
Middle Disk Building[]
792px = 182.435 meters
1971px = 454.01 meters
Volume: 2.95e7 m3
Rectangular Prism Building[]
720px = 165.85 meters
984px = 226.66 meters
Former value will be the length and width of this prism.
Volume: 6.23e6 m3
Medium-Sized Cylinder Building[]
1269px = 292.311 meters
267px = 61.5 meters
Volume: 8.68e5 m3
Middle Disk Building[]
855px = 196.95 meters
249px = 57.36 meters
Volume: 1.75e6 m3
Upper Dome[]
2340px = 538.01 meters
891px = 205.24 meters
Volume: 2.654e7 m3
Since this is mostly hollow, a hollowness for this portion in particular will be assumed to be 90%, which reduces the volume to 2.654e6 m3.
For the other volumes, a hollowness of 80% will be assumed. So...
Total volume: ((1.75e6 m3 + 8.68e5 m3 + 6.23e6 m3 + 2.95e7 m3 + 4.94e7 m3 + 1.29e6 m3 + 6.81e6 m3)*0.2) + 2.654e6 m3 = 21,823,600 m3
Now for the mass... I will assume that the fortress is made of steel like in the original calc.
Mass: 21,823,600 m3 x 8,050 kg/m3 = 1.7567e11 kg
I will do the next 2 things:
I will first calculate the speed and acceleration at which the fortress was falling down.
558px = 1.33 meters
3291px = 7.844 meters
This distance was achieved in a time of 0.5 seconds. Therefore...
Velocity: 7.844 meters / 0.5 seconds = 15.688 m/s
Acceleration: 2 * 7.844 / 0.5^2 = 62.752 m/s/s
I will calculate the force Rock would've needed to exert to stop the falling fortress, as well as the KE of the fortress while falling.
KE: 21617365570240 Joules or 5.16667 Kilotons of TNT (Small Town level+)
Force: 1.7567e11 kg*62.752 m/s/s = 1.102e13 Newtons
Mass: 1.102e13 Newtons / 9.81 m/s/s = 1.1237e12 kg (Class T)
Conclusion[]
- Rock stopping the fortress from collapsing: 1.124e12 kg (Class T)
- Falling Fortress KE: 5.16667 Kilotons of TNT (Small Town level+)