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Calc Maliki - Extreme video games

Calculations




John and Fang play retro games, resulting in a huge pillar of light which lances into space. Take note if you look closely before the beam of light appears, you can see there was a cloud that got parted.
ecl9Ub8.png
So um...time for calcing!
J0C8lFn.png
The radius of the Earth is 6371km.
ac6b6294509876e4bb09d25bebf54ea34afde11c

R = (h/2) + c^2/(8h)
= (82/2) + 544^2/(8 X 82)
= 492.121951 pixels

492.121951 pixels = 6371km
1 pixel = 6371km/492.121951 = 12.9459781km (12945.9781m)
12945.9781m X 82 = 1061570.2m
1061570.2m/2 = 530785.1m
12945.9781m X 16 = 207135.65m
12945.9781m X 10 = 129459.781m
207135.65m + 129459.781m = 336595.431m

To account for the hollow parts, we'll calc three cylinders, and subtract the volume of the second from the first, before adding the third. A nimbostratus cloud usually has a thickness of 2000m.

V = πr^2h
= π X 530785.1^2 X 2000
= 1.77017953e15m^3

V = πr^2h
= π X 336595.431^2 X 2000
= 7.11862805e14m^3

V = πr^2h
= π X 207135.65^2 X 2000
= 2.69581181e14m^3

V = 1.77017953e15 - 7.11862805e14
= 1.05831672e15 + 2.69581181e14
= 1.3278979e15m^3

Density of a cloud is 1.003kg/m^3.

M = 1.3278979e15 X 1.003
= 1.33188159e15kg

We now have the dimensions for our clouds for our low end. Before we get the high end, let's get the timeframe for the beam of light.
bZAmw5u.png

iOsZmux.png
Timeframe is 5 frames.

T = 1s/24
= 41.6666667ms X 5
= 0.208333333s

12945.9781m X 316 = 4090929.08m
12945.9781m X 7 = 90621.8467m

T = 4090929.08m/0.208333333s
= 19636459.6/340.29
= Mach 57705.0739

Let's also go for a high end for the cloud height shown there.

V = πr^2h
= π X 530785.1^2 X 90621.8467
= 8.0208469e16m^3

V = πr^2h
= π X 336595.431^2 X 90621.8467
= 7.11862805e14m^3

V = πr^2h
= π X 207135.65^2 X 90621.8467
= 2.69581181e14m^3

V = 8.0208469e16 - 3.2255161e16
= 4.7953308e16 + 1.22149722e16
= 6.01682802e16m^3

M = 6.01682802e16 X 1.003kg
= 6.0348785e16kg

With both our high end and our low end, let's find the timeframe of the cloud being parted.
GIZasBZ.png
Timeframe is 11 frames.

T = 41.6666667ms X 11
= 0.458333334s

12945.9781m X 162 = 2097248.45m
2097248.45m/2 = 1048624.23m

T = 1048624.23m/0.458333334s
= 2287907.41m/s

Let's finally get our kinetic energy!

(Low end)
KE = (0.5)mv^2
= (0.5) X 1.33188159e15 X 2287907.41^2
= 3.48588062e27 joules
= 833.14546367112802727 petatons

(High end)
KE = (0.5)mv^2
= (0.5) X 6.0348785e16 X 2287907.41^2
= 1.57948471e29 joules
= 37.750590583173994673 exatons

Final Results
Retro games energy beam (speed) = Mach 57705.074
Retro games energy beam (energy - low end) = 833.145 petatons
Retro games energy beam (energy - high end) = 37.751 exatons

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