If superpowers were real: Body mass - Joy Lin

Kada bi supermoći bile stvarne: telesna masa - Džoj Lin (Joy Lin)

1,430,731 views

2013-06-27 ・ TED-Ed


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If superpowers were real: Body mass - Joy Lin

Kada bi supermoći bile stvarne: telesna masa - Džoj Lin (Joy Lin)

1,430,731 views ・ 2013-06-27

TED-Ed


Please double-click on the English subtitles below to play the video.

Prevodilac: Mile Živković Lektor: Anja Saric
00:14
Some superheroes can grow
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Neki heroji mogu da narastu
00:15
to the size of a building at will.
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do veličine zgrade kada požele.
00:19
That's very intimidating!
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To je veoma zastrašujuće!
00:21
But a scientist must ask
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Ali naučnik mora da se zapita
00:22
where the extra material is coming from.
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odakle potiče taj dodatni materijal.
00:26
The Law of Conservation of Mass implies
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Zakon održanja mase kaže
00:28
that mass can neither be created
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da masa ne može da se stvori
00:31
nor destroyed,
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ni uništi,
00:32
which means that our hero's mass
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što znači da se masa našeg heroja
00:33
will not change just because his size changes.
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neće promeniti samo zato što se menja njegova veličina.
00:37
For instance, when we bake a fluffy sponge cake,
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Na primer, kada pravimo paperjasti biskvit,
iako je ukusna poslastica koju dobijemo
00:42
even though the resulting delicious treat
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00:44
is much bigger in size than the cake batter
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puno veća od testa
00:46
that went into the oven,
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koje je ubačeno u rernu,
00:48
the weight of the cake batter should still equal
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težina testa bi svejedno trebalo biti jednaka
00:50
the weight of the cake
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težini kolača
00:52
plus the moisture that has evaporated.
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plus vlazi koja je isparila.
00:55
In a chemical equation,
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U hemijskim jednačinama,
00:56
molecules rearrange to make new compounds,
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molekuli se preraspoređuju da naprave nova jedinjenja,
00:59
but all the components should still be accounted for.
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ali još uvek moraju biti prisutne sve komponente.
01:03
When our hero expands
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Kada se naš heroj rastegne
01:05
from 6 feet tall
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sa 180cm
01:07
to 18 feet tall,
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na 5,5 metara visine,
01:09
his height triples.
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njegova visina se utrostručuje.
01:11
Galileo's Square Cube Law says
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Galilejev zakon kvadrata na kub kaže
01:13
his weight will be 27
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da će njegova težina biti 27 puta -
01:15
- 3 times 3 times 3 equals 27 -
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3 puta 3 puta 3 je 27 puta više
01:18
times his regular weight
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od njegove redovne težine
01:19
since he has to expand in all three dimensions.
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pošto mora da se raširi u sve tri dimenzije.
01:23
So, when our superhero transforms into a giant,
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Kada se naš superheroj pretvori u džina,
01:26
we are dealing with two possibilities.
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postoje dve mogućnosti.
01:29
Our hero towering at 18 feet
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Naš heroj ima 5,5 metara
01:31
still only weighs 200 pounds,
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i još uvek ima 90kg,
01:34
the original weight in this human form.
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što je njegova prvobitna ljudska težina.
01:36
Now, option two, our hero weighs 5,400 pounds
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U opciji broj dva, naš heroj ima 2450kg,
01:42
- 200 pounds times 27 equals 5,400 pounds -
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90kg puta 27 jednako je 2450kg -
01:46
when he is 18 feet tall,
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kada ima 5,5 metara visine,
01:48
which means he also weighs 5,400 pounds
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što znači da tu težinu ima
01:52
when he is 6 feet tall.
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i kada ima 180cm visine.
Niko ne može da uđe u lift sa njime
01:57
Nobody can get in the same elevator with him
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01:59
without the alarm going off.
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a da se ne oglasi alarm.
02:00
Now, option two seems a little more
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Opcija dva se čini kao da je
02:02
scientifically plausible,
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naučno verovatnija,
02:03
but it begs the question,
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ali ističe pitanje -
02:05
how does he ever walk through the park
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kako on može da prođe kroz park
02:07
without sinking into the ground
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a da ne potone u zemlju
02:08
since the pressure he is exerting on the soil
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pošto se pritisak koji on vrši na tlo
računa tako što se njegova masa
02:11
is calculated by his mass
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02:12
divided by the area of the bottom of his feet?
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podeli sa površinom na dnu njegovih stopala?
02:15
And what kind of super socks and super shoes
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I kakve super čarape i cipele
02:18
is he putting on his feet to withstand all the friction
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obuva na svoja stopala kada mogu da izdrže svo trenje
02:21
that results from dragging his 5,400 pound body
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koje nastaje od tegljenja njegovog tela od 2450kg
02:25
against the road when he runs?
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po putu kada on potrči?
02:28
And can he even run?
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Da li on uopšte može da trči?
02:30
And I won't even ask how he finds pants
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Neću ni da pitam kako pronalazi pantalone
02:32
flexible enough to withstand the expansion.
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koje su dovoljno rastegljive da izdrže širenje.
02:41
Now, let's explore the density
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Hajde sada da istražimo gustinu
02:43
of the two options mentioned above.
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za pomenute dve opcije.
02:45
Density is defined as mass divided by volume.
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Gustina se definiše kao masa podeljena sa zapreminom.
02:48
The human body is made out of bones and flesh,
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Ljudsko telo sastoji se iz kosti i mesa,
02:51
which has a relatively set density.
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koje imaju prilično tačno određenu gustinu.
02:54
In option one, if the hero weighs 200 pounds all the time,
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U prvoj opciji, ako heroj stalno ima 90kg,
02:57
then he would be bones and flesh at normal size.
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onda bi njegove kosti i meso bili normalne veličine.
03:00
When he expands to a bigger size
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Kada se proširi na veću veličinu,
03:03
while still weighing 200 pounds,
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a da još uvek ima 90kg,
03:04
he essentially turns himself
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zapravo sebe pretvara
03:06
into a giant, fluffy teddy bear.
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u ogromnog pufnastog medveda igračku.
03:13
In option two, if the hero weighs
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U opciji broj dva, ako heroj stalno
03:15
5,400 pounds all the time,
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ima 2450kg,
03:17
then he would be bones and flesh at 18 feet
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onda bi bio kosti i meso na 5,5 metara visine
03:20
with 5,400 pounds of weight supported by two legs.
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sa 2450kg težine koju drže dve noge.
03:24
The weight would be exerted on the leg bones
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Težinu bi održavale kosti nogu
na različitim uglovima dok se kreće.
03:26
at different angles as he moves.
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03:27
Bones, while hard, are not malleable,
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Iako su čvrste, kosti nisu savitljive,
03:30
meaning they do not bend,
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što znači da se ne krive
03:31
so they break easily.
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i lako pucaju.
03:33
The tendons would also be at risk of tearing.
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Tetive bi se takođe lako pokidale.
03:36
Tall buildings stay standing
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Visoke zgrade stoje u mestu
03:38
because they have steel frames
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jer imaju čelične okvire
03:39
and do not run and jump around in the jungle.
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i na trče i ne skaču po džungli.
03:42
Our hero, on the other hand,
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Sa druge strane, naš junak,
03:44
one landing at a bad angle
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dovoljno je da se jednom dočeka na noge pod lošim uglom
03:46
and he's down.
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i pao je.
03:51
Assuming his bodily function is the same as any mammal's,
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Pod pretpostavkom da su mu funkcije tela iste kao kod drugih sisara,
03:55
his heart would need to pump a large amount of blood
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njegovo srce moralo bi da pumpa velike količine krvi
03:57
throughout his body to provide enough oxygen
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kroz telo kako bi obezbedilo dovoljno kiseonika
03:59
for him to move 5,400 pounds of body weight around.
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da pokreće njegovo telo od 2450kg.
04:03
This would take tremendous energy,
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Ovo bi zahtevalo neverovatnu energiju
04:05
which he would need to provide
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koju bi morao da dobije
04:06
by consuming 27 times 3,000 calories of food every day.
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konzumiranjem 27 puta 3000 kalorija iz hrane svakog dana.
04:11
Now, that is roughly 150 Big Macs.
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To je oko 150 Bigmekova.
04:14
27 times 3,000 calculated equals
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27 puta 3000 jednako je
04:17
81,000 calculated slash 550 calories
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81 000 podeljeno sa 550 kalorija,
04:20
equals 147.
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to je 147.
04:22
He wouldn't have time to fight crime
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Ne bi imao vremena da se bori sa zločinom
04:24
because he would be eating all the time
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pošto bi stalno jeo
04:26
and working a 9-to-5 job
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i radio od 9 do 5
04:28
in order to afford all the food he eats.
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kako bi priuštio svu hranu koju jede.
04:31
And what about superheroes
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A šta je sa superherojima
04:32
who can turn their bodies into rocks or sand?
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koji mogu svoja tela da pretvore u stene ili pesak?
04:35
Well, everything on Earth is made out of elements.
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Pa, sve na Zemlji sačinjeno je od elemenata.
04:38
And what defines each element
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Ono što definiše svaki element
04:40
is the number of protons in the nucleus.
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je broj protona u jezgru.
04:42
That is how our periodic table is organized.
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Tako je organizovan naš periodni sistem.
04:45
Hydrogen has one proton,
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Vodonik ima jedan proton,
04:47
helium, two protons,
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helijum ima dva,
04:48
lithium, three protons,
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litijum tri protona,
04:50
and so on.
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i tako dalje.
04:51
The primary component of the most common form
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Primarni sastojak najčešćeg oblika peska
04:53
of sand is silicon dioxide.
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je silicijum dioksid.
04:55
Meanwhile, the human body consists of
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Sa druge strane, ljudsko telo se sastoji
04:57
65% oxygen,
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od 65% kiseonika,
04:59
18% carbon,
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18% ugljenika,
05:00
10% hydrogen,
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10% vodonika
05:02
and 7% of various other elements
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i 7% raznih drugih elemenata,
05:04
including 0.002% of silicon.
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uključujući i 0,002% silicijuma.
05:08
In a chemical reaction,
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U hemijskoj reakciji,
05:10
the elements recombine to make new compounds.
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elementi se kombinuju kako bi napravili nova jedinjenja.
05:12
So, where is he getting all this silicon
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Odakle mu onda sav taj silicijum
05:14
necessary to make the sand?
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koji je potreban da se napravi pesak?
05:17
Sure, we can alter elements
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Naravno, možemo izmeniti elemente
05:19
by nuclear fusion or nuclear fission.
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putem nuklearne fuzije ili fisije.
05:21
However, nuclear fusion requires so much heat,
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Ipak, nuklearna fuzija zahteva toliko toplote
05:25
the only natural occurrence of this process is in stars.
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da je jedina prirodna pojava ovog procesa u zvezdama.
05:28
In order to utilize fusion in a short amount of time,
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Kako bi se iskoristila fuzija u kratkom vremenskom roku,
05:31
the temperature of the area
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temperatura površine
05:32
needs to be hotter than the Sun.
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mora da bude vrelija od Sunca.
05:35
Every innocent bystander will be burned to a crisp.
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Svaki nevini posmatrač bio bi potpuno spržen.
05:41
Rapid nuclear fission is not any better
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Brza nuklearna fisija nije ništa bolja
05:44
since it often results in many radioactive particles.
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pošto često za posledicu ima mnogo radioaktivnih čestica.
05:47
Our hero would become
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Naš heroj bi postao
05:48
a walking, talking nuclear power plant,
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nuklearna elektrana koja hoda i priča
05:51
ultimately harming every person he tries to save.
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i na kraju bi naškodio svakoj osobi koju pokuša da spasi.
05:55
And do you really want the heat of the Sun
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A da li zaita želite vrelinu Sunca
05:57
or a radioactive nuclear plant inside of your body?
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ili radioaktivnu nuklearnu elektranu unutar vašeg tela?
06:06
Now, which superpower physics lesson
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Sada, koju ćete lekciju o supermoćima iz fizike
06:09
will you explore next?
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istražiti nakon ove?
06:11
Shifting body size and content,
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Menjanje veličine i sadržaja tela,
06:15
super speed,
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superbrzina,
06:17
flight,
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let,
06:19
super strength,
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nadljudska snaga,
06:22
immortality,
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besmrtnost
06:24
and
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ili
06:26
invisibility.
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nevidljivost.
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