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Introduction

We have always seen some characters attacking on another character and sending him/her/it flying.

This blog serves to find the energy yield from sending a person flying at different speed and across different distances.

Methodology

Here an average 2016 Japanese male at 25-29 is picked. Because most anime comes from Japan. Fight me.

The target weighs at 66.82 kg and stands at 1.7185 m.

To make a target fall, the center of gravity is likely falling from roughly half his own height to roughly ground floor.

Height to fall = 1.7185/2 = 0.85925 m

By PE to KE formula, mgh = 0.5 m v^2
(9.81)(0.85925) = (0.5) v^2
v = ((2)(9.81)(0.85925))^0.5 = 4.105908547
time to fall to this speed = 4.105908547 / 9.81 = 0.418543175 s

Now, the kinetic energy from the yield of an attack should 1-to-1 scale to the target hit who flies at a distance before hitting the ground - in 0.418543175 s.

AP of an attack = Kinetic energy carried by the target = 0.5 x mass x (velocity)^2

Tally

The table below lists out the enrgy required to send a person flying at a speed across a distance using the Newtonian energy model.

Range (m) Speed (m/s) Speed (Mach) Energy in Joules Energy in Tons of TNT Tier
0.5 1.194619886 0.003482857 47.679968 1.13958E-08 Average human
0.724105801 1.730062379 0.005043914 100 2.39006E-08 Athletic human
0.75 1.791929829 0.005224285 107.279928 2.56405E-08 Athletic human
1 2.389239772 0.006965714 190.719872 4.55831E-08 Athletic human
1.024040244 2.446677679 0.007133171 200 4.78011E-08 Athletic human+
1.254188037 2.99655594 0.008736315 300 7.17017E-08 Peak human/Street
1.5 3.583859657 0.01044857 429.119712 1.02562E-07 Peak human/Street
2 4.778479543 0.013931427 762.8794879 1.82333E-07 Peak human/Street
2.092715875 5 0.014577259 835.25 1.9963E-07 Peak human/Street
3.222782448 7.7 0.02244898 1980.8789 4.73441E-07 Peak human/Street
4.101723116 9.8 0.028571429 3208.6964 7.66897E-07 Peak human/Street
5.23597512 12.51 0.036472303 5228.668341 1.24968E-06 Peak human/Street
6 14.33543863 0.041794282 6865.915391 1.64099E-06 Peak human/Street
6.333339138 15.13186576 0.044116227 7650 1.82839E-06 Peak human+/Street+
8.868448661 21.18885025 0.061775074 15000 3.58509E-06 Wall
10 23.89239772 0.069657136 19071.9872 4.55831E-06 Wall
14.3560309 34.3 0.1 39306.5309 9.39449E-06 Wall
50 119.4619886 0.348285681 476799.68 0.000113958 Wall
71.78015452 171.5 0.5 982663.2725 0.000234862 Wall
100 238.9239772 0.696571362 1907198.72 0.000455831 Wall
129.2042781 308.7 0.9 3183829.003 0.000760953 Wall
143.560309 343 1 3930653.09 0.000939449 Wall
157.91634 377.3 1.1 4756090.239 0.001136733 Wall
234.2736864 559.7360091 1.631883408 10467500 0.002501793 Wall+
331.19431 791.3026175 2.307004716 20920000 0.005 Small building
358.9007726 857.5 2.5 24566581.81 0.005871554 Small building
500 1194.619886 3.48285681 47679968 0.011395786 Small building
717.8015452 1715 5 98266327.25 0.023486216 Small building
1000 2389.239772 6.96571362 190719872 0.045583143 Small building
1435.60309 3430 10 393065309 0.093944864 Small building
1672.449284 3995.882346 11.64980276 533460000 0.1275 Small building+
2341.897425 5595.354468 16.31298679 1046000000 0.25 Building
3589.007726 8575 25 2456658181 0.587155397 Building
4967.914649 11869.53926 34.60507073 4707000000 1.125 Building+
5000 11946.19886 34.8285681 4767996800 1.139578585 Building+
6623.886199 15826.05235 46.14009431 8368000000 2 Large building
7178.015452 17150 50 9826632725 2.348621588 Large building
9264.4532 22135.00005 64.53352784 16369504368 3.912405442 Large building
10000 23892.39772 69.6571362 19071987198 4.55831434 Large building
11941.38067 28530.82162 83.18023795 27196000000 6.5 Large building+
14356.0309 34300 100 39306530900 9.394486353 Large building+
14811.45982 35388.12887 103.1723874 41840000000 11 City block
34893.48575 83368.90391 243.0580289 2.32212E+11 55.5 City block+
46837.94849 111907.0894 326.2597357 4.184E+11 100 Multi City Block
50000 119461.9886 348.285681 4.768E+11 113.9578585 Multi City Block
100000 238923.9772 696.571362 1.9072E+12 455.831434 Multi City Block
109844.7259 262445.3878 765.1469031 2.3012E+12 550 Multi City Block+
143560.309 343000 1000 3.93065E+12 939.4486353 Multi City Block+
148114.5982 353881.2887 1031.723874 4.184E+12 1000 Small town
273109.8245 652524.8547 1902.404824 1.42256E+13 3400 Small town+
356707.1885 852259.0015 2484.720121 2.42672E+13 5800 Town
500000 1194619.886 3482.85681 4.768E+13 11395.78585 Town
1000000 2389239.772 6965.71362 1.9072E+14 45583.1434 Town
1077272.815 2573863.055 7503.973922 2.21334E+14 52900 Town+
1255629.525 3000000 8746.355685 3.0069E+14 71866.6348 Town+
1481145.982 3538812.887 10317.23874 4.184E+14 100000 Large town
3473595.227 8299251.868 24196.06958 2.3012E+15 550000 Large town+
4683794.849 11190708.94 32625.97357 4.184E+15 1000000 Small city
6371000 15221846.58 44378.56147 7.74125E+15 1850203.426 Small city

The table below lists out the enrgy required to send a person flying at a speed across a distance using the relativistic energy model.

Range (m) Speed (m/s) Speed (Mach) Energy in Joules Energy in Tons of TNT Tier
1255629.525 3000000 8746.355685 3.00713E+14 71872.03271 Town+
1481145.982 3538812.887 10317.23874 4.18444E+14 100010.4517 Large town
3473595.227 8299251.868 24196.06958 2.30252E+15 550316.3282 Large town+
4683794.849 11190708.94 32625.97357 4.18838E+15 1001046.261 Small city
6371000 15221846.58 44378.56147 7.75625E+15 1853788.582 Small city

One thing: I include a dataset for a distance of 9264.4532 m as the farthest horizon a human eye can see. Working:
Average US human height = (1.753 + 1.615)/2 = 1.684 m
Earth mean radius = 6371000 m
For two identical human to see each other at a distance, the farthest distance the one would travel away from the other standing still yet seeing each other can see each other = Arc(G1-M-G2) = 2 times Arc(G1-M)
G1-M = OM * angle(G1-O-M)
cos(angle(G1-O-M))= OM / (H1-G1 + G1-O) = 6371000 / (6371000 + 1.684)
angle(G1-O-M) = 0.00072708 rad
Arc(G1-M) = 4632.2266 m

Picture
Earth horizon and radius

Findings - On Request (Re Battle for Dream Island)

UltraChair wrote:
Priority: 1 (Would scale to the whole verse.)

Verse: Battle for Dream Island

Feat: Coiny throws a stick 2,760 miles.


Assume a wooden stick at 60 inches weighs 610 g or 0.61 kg, a wooden stick at 8 inches should weigh 81.33333333 g or 0.08133333333 kg.

Taking the distance literally, the stick must have thrown at over 2,760 miles which means possibly 4441789.44 m.

Since it stops at about 1 second, the stick must have flown at at least 4441789.44 m/s. 1.4805965% light speed man.

Assume Newtonian KE model still stands, KE yield = 8.02333E+11 J = 191.7621254 tons TNT (Multi City Block)

Assume relativistic KE model applies, KE yield = 8.02465E+11 J = 191.7937022 tons TNT (Multi City Block)

Findings - Credits to Psychomaster35 (Re Battle for Dream Island)

By comparing the stick to Pin's height ([[User blog:Psychomaster35/My 2nd Calc: A BFB Calc#X goes to the center of the Earth|see this for reference]), the stick should be 27.92699307283465 inches and 0.283924429574 kg.

Taking the distance literally, the stick must have thrown at over 2,760 miles which means possibly 4441789.44 m.

Since it stops at about 1 second, the stick must have flown at at least 4441789.44 m/s. 1.4805965% light speed man.

Assume Newtonian KE model still stands, KE yield = 2.80084E+12 J = 669.4174436 tons TNT (Multi City Block+)

Assume relativistic KE model applies, KE yield = 2.8013E+12 J = 669.5276767 tons TNT (Multi City Block+)

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