# Indiana Jones - The Miracle of the Ark

3:56

The Nazi's open the Ark and soon regret it. We also have some impressive speed and noticeable cloud movement. I'll need to rewatch the movie to see if there's a proper reference frame, but on average low level clouds are below 6500 feet (1.9812km, or 1981.2m), while stratonimbus clouds float at least 2000 feet (609.6m) up, so that will do for now as a low end and high end.

Spoiler:

Timeframe is 1.36 seconds.

(Low end)
170 pixels = 609.6m
1 pixel = 609.6m/170 = 3.58588235m
3.58588235m X 102 = 365.76m

T = 365.76m/1.36s
= 268.941176m/s

(High end)
170 pixels = 1981.2m
1 pixel = 1981.2m/170 = 11.6541176m
11.6541176m X 102 = 1 188.72m

T = 1188.72m/1.36s
= 874.058824/340.29
= Mach 2.56857040759

Next for the energy to move the clouds.
Spoiler:

Timeframe is 3.76 seconds.

(Low end)
3.58588235m X 8 = 28.6870588m
3.58588235m X 124 = 444.649411m
444.649411m/2 = 222.324705m
3.58588235m X 77 = 276.112941m
276.112941m/2 = 138.05647m
276.112941m - 138.05647m = 84.268235m

T = 84.268235m/3.76s
= 22.4117646m/s

Volume as a cylinder-shaped donut.

V = πr^2h
= π X 222.324705^2 X 28.6870588
= 4454627.00711m^3

V = πr^2h
= π X 138.05647^2 X 28.6870588
= 1717708.34481m^3

V = 4454627.00711 - 1717708.34481
= 2736918.6623m^3

Weight of clouds is 1.003kg per m^3.

M = 2736918.6623 X 1.003
= 2745129.41829kg

Now for the energy.

E = (0.5) X 2745129.41829 X 22.4117646^2
= 689421674.262 joules
= 0.1647757347662524 tons of TNT

(High end)
11.6541176m X 8 = 93.2329408m
11.6541176m X 124 = 1445.11058m
1445.11058m/2 = 722.55529m
11.6541176m X 77 = 897.367055m
897.367055m/2 = 448.683528m
722.55529m - 448.683528m = 273.871762m

T = 273.871762m/3.76s
= 72.8382346m/s

V = πr^2h
= π X 722.55529^2 X 93.2329408
= 152918991.707m^3

V = πr^2h
= π X 448.683528^2 X 93.2329408
= 58965706.7157m^3

V = 722.55529 - 448.683528
= 93953284.9913m^3

M = 93953284.9913 X 1.003
= 94235144.8463kg

E = (0.5) X 94235144.8463 X 72.8382346^2
= 249977965447 joules
= 59.7461676498566 tons of TNT

Final Results
Miracle of the Ark (speed - low end) = 268.941176 m/s
Miracle of the Ark (speed - high end) = Mach 2.569
Miracle of the Ark (energy - low end) = 0.165 tons of TNT
Miracle of the Ark (energy - high end) = 59.746 tons of TNT
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