Rocket Engines Explained

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  • เผยแพร่เมื่อ 13 มิ.ย. 2024
  • How do rocket engines work? What makes them work in a vacuum?
    In this video, we talk about the basic physics behind how a rocket engine works. We walk through two different ways to help understand rocket engines. The first looks at Newton's third law of motion, where every action has an equal and opposite reaction. Then, we discuss the conservation of momentum, and how propellant is used to push a spaceship forward.
    After understanding the basics of rocket engines, we talk about some of the different types, focusing mostly on chemical rocket engines (such as the space shuttle main engine, raptor engine, merlin engine, and BE-4). The last topic covered in this video looks at the design of rocket nozzles, and how at different surrounding pressures, the nozzle design should be changed!
    Thanks for watching! And consider subscribing if you enjoyed this video!
    Thank you to all my Patrons that help support this channel! You all really help make off of this happen!
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ความคิดเห็น • 145

  • @MartianWolf
    @MartianWolf  3 ปีที่แล้ว +49

    Thanks for watching, and I hope you learned a thing or two about rocket engines! 🚀

    • @JesusChrist-gc6mm
      @JesusChrist-gc6mm 3 ปีที่แล้ว

      Thank you!

    • @papalegba6759
      @papalegba6759 3 ปีที่แล้ว

      i learned you don't understand any physics at all.

    • @fromnorway643
      @fromnorway643 3 ปีที่แล้ว +1

      @@papalegba6759
      That sentence would make more sense if you replaced the "you" with an "I".

    • @papalegba6759
      @papalegba6759 3 ปีที่แล้ว

      @@fromnorway643

    • @rv.9658
      @rv.9658 3 ปีที่แล้ว

      Hi, what exactly is NASA'S Glenn Research Center?

  • @summerlakephotog8239
    @summerlakephotog8239 3 ปีที่แล้ว +46

    I most definitely want to learn about the raptor engine.

    • @fieldadmiralspartanryseb-8293
      @fieldadmiralspartanryseb-8293 3 ปีที่แล้ว +4

      The Velociraptor burn looks so clean compared to any other rocket

    • @timoheinz2879
      @timoheinz2879 3 ปีที่แล้ว

      @Mo Thunder They are talking about SpaceX's Raptor Engine that powers their Starship

    • @Earthinawarshell
      @Earthinawarshell 3 ปีที่แล้ว

      @@timoheinz2879 yes I want to learn how they make raptor engine

    • @whimbur
      @whimbur 3 ปีที่แล้ว +1

      Everyday astronaut has an amazing video about it

    • @RAJEEVSHARMA-gr3vb
      @RAJEEVSHARMA-gr3vb 2 ปีที่แล้ว

      @@whimbur can u show us that bro

  • @mikedavies5582
    @mikedavies5582 2 ปีที่แล้ว +4

    This video was super good. It made me think of how teachers in high school and how they usually could play the the entire audience by explaining the fundamentals and then going on from there. Just being really aware of who is watching the video or who is the target audience. Well done.

  • @caesar7978
    @caesar7978 3 ปีที่แล้ว +14

    Kinda feel like making my own homemade working model rocket...

    • @AHMED-ly2ml
      @AHMED-ly2ml ปีที่แล้ว +1

      Can't be too hard, I mean it's not rocket science.... Oh wait ..

  • @chadnigabyte
    @chadnigabyte 3 ปีที่แล้ว +19

    This Guy Deserves More Sub And Views
    Such A Nice Guy And Content Also

    • @MartianWolf
      @MartianWolf  3 ปีที่แล้ว +2

      Thank you! I'm happy to create these educational videos!

  • @sergei_gruntovsky
    @sergei_gruntovsky 3 ปีที่แล้ว +12

    Finally, a new video!

    • @MartianWolf
      @MartianWolf  3 ปีที่แล้ว +3

      More to come soon!

  • @dosomething3
    @dosomething3 3 ปีที่แล้ว +12

    Derivation of conservation of momentum:
    Assuming:
    F=ma
    Given:
    F=0
    Therefore:
    ma=0
    Expanding a:
    a=(v2-v1)/(t2-t1)
    Plugging in expansion of a:
    m*(v2-v1)/(t2-t1)=0
    Multiplying both sides by (t2-t1):
    m*(v2-v1)=0
    mv2-mv1=0
    mv2=mv1
    Which is conservation of momentum.

    • @StupeCheez
      @StupeCheez ปีที่แล้ว

      ok, I doubt anyone under 5th grade or something would understand this.

  • @jamieoglethorpe
    @jamieoglethorpe 3 ปีที่แล้ว +3

    We need an explanation of rocket engines at this level. Tim, the Everyday Astronaut, has excellent videos that dive deeper.

    • @MartianWolf
      @MartianWolf  3 ปีที่แล้ว +1

      Tim’s videos are truly amazing! He goes into great detail and clearly explains a lot of the concepts

  • @ManojSaminda
    @ManojSaminda 3 ปีที่แล้ว +1

    like your simplicity, so everybody can understand with great explanations.

  • @markharkey3279
    @markharkey3279 2 ปีที่แล้ว

    Thank you for this video! You’re very knowledgeable and a great presenter. I’m now a subscriber.

  • @gbengaomosola5577
    @gbengaomosola5577 3 ปีที่แล้ว +1

    I love your class. Its educating. Will love to be part of subsequent classes

  • @cyclenut
    @cyclenut 3 ปีที่แล้ว

    you took what I already knew, but made it much clearer. Thanks!

  • @pilotodehelicoptero4700
    @pilotodehelicoptero4700 3 ปีที่แล้ว +1

    Very goog explanation! Congrats from Brazil!

  • @vibeduck4934
    @vibeduck4934 3 ปีที่แล้ว

    helped me wrap my head around some of this thanks

  • @AbdoZaInsert
    @AbdoZaInsert 3 ปีที่แล้ว

    I don't have time to watch your video. But i just came to say:
    Keep up your awesome work, You're really one of a type in the making of space related videos.

  • @royalsaiyanelite198
    @royalsaiyanelite198 3 ปีที่แล้ว

    Comparing rocket thrust to standing made the most sense to me and I've been researching this all day

  • @cuceofficial6777
    @cuceofficial6777 3 ปีที่แล้ว

    ur very underrated i gotta say your vids are very interesting and helpful so people can learn stuff about space rockets etc love the content keep up the good work man (btw sorry for my bad English its my third launguage)

  • @Markle2k
    @Markle2k 3 ปีที่แล้ว +1

    Excellent explanation.

  • @CobaltEngineering
    @CobaltEngineering ปีที่แล้ว

    This helped me understand engines a lot more, thanks!

  • @davenitro31
    @davenitro31 3 ปีที่แล้ว

    very informative thank you!

  • @mimavsavasant2308
    @mimavsavasant2308 3 ปีที่แล้ว

    thank you so much this video is really helpful

  • @danielvillarreal5180
    @danielvillarreal5180 2 ปีที่แล้ว

    loved it, thank you.

  • @neerajsoni1310
    @neerajsoni1310 3 ปีที่แล้ว +1

    Amazing rocket science info

  • @suyashpurwar8310
    @suyashpurwar8310 3 ปีที่แล้ว

    Thank you! Please make more such videos

  • @shivaninarsina666
    @shivaninarsina666 3 ปีที่แล้ว

    Great work!!

  • @ninwithabin2683
    @ninwithabin2683 3 ปีที่แล้ว

    thanks very clear and easy to understand :)

  • @worldkeyvideo9080
    @worldkeyvideo9080 2 ปีที่แล้ว

    I didn't understand how rocket nossels work until this video.

  • @sreyaharish4113
    @sreyaharish4113 2 ปีที่แล้ว

    Thankyou for your effort 😀

  • @titan1286
    @titan1286 3 ปีที่แล้ว +3

    Second, you deserve more subscribers

    • @MartianWolf
      @MartianWolf  3 ปีที่แล้ว +1

      Thank you! I'm just happy to share fun information about space and tech

    • @titan1286
      @titan1286 3 ปีที่แล้ว +1

      OMG YOU REPLIED YOU ARE AMAZING AND I LOVE YOUR VIDEOS 👍👍👍👍👍👍❤️👍❤️👍❤️👍❤️👍❤️👍❤️👍❤️❤️

  • @srideviroshayya2240
    @srideviroshayya2240 ปีที่แล้ว

    Bro I learned a lot you explain really good

  • @dilipgandhi7012
    @dilipgandhi7012 2 ปีที่แล้ว

    It's a pretty cool video...and good knowledage on rockets tech.

  • @whatever361
    @whatever361 2 ปีที่แล้ว

    Thank you so much it was so intersting

  • @PassportGaming
    @PassportGaming 3 ปีที่แล้ว +4

    Would love it if you streamed Starship hops and launches whenever they happen 🚀

    • @MartianWolf
      @MartianWolf  3 ปีที่แล้ว +4

      I'll have to look into livestreams, I've never done one before. I know that a bunch of other TH-camrs have excellent coverage of the events as well! Like Everyday Astronaut, Lab Padre, I Need More Space, and others!

  • @autolab8538
    @autolab8538 2 ปีที่แล้ว

    Helpful

  • @admindude2728
    @admindude2728 3 ปีที่แล้ว +1

    Good video!

  • @danielbaek960
    @danielbaek960 3 ปีที่แล้ว +3

    Hi! i love your videos!

    • @MartianWolf
      @MartianWolf  3 ปีที่แล้ว

      I'm glad you like them!!

  • @hellinterestingproductions4710
    @hellinterestingproductions4710 2 ปีที่แล้ว +3

    Does the shape of the rocket engine affect the thrust?

    • @nerdofculture4385
      @nerdofculture4385 2 ปีที่แล้ว

      yes, the thinner the nozzle, the faster the fuel exhaust is gonna leave the engine.

    • @SMHman666
      @SMHman666 2 ปีที่แล้ว +1

      Hell....Prod...... You've probably already looked this up but yes, the size and shape of the combustion chamber, nozzle and the ratio of the throat all affect thrust.

  • @fatimaz1332
    @fatimaz1332 3 ปีที่แล้ว +1

    The first time I've heard someone saying sir Isaac, the polite guy

  • @suweno16
    @suweno16 3 ปีที่แล้ว +2

    He bacc guys

  • @SG-SilverGaming
    @SG-SilverGaming 3 ปีที่แล้ว

    Nice one

  • @bakapuramarketing8285
    @bakapuramarketing8285 2 ปีที่แล้ว

    Very good

  • @risingmoon893
    @risingmoon893 3 ปีที่แล้ว +2

    0:02 SpaceX Raptor, 0:20 Rocketdyne Rs-25

  • @gamercool6164
    @gamercool6164 2 ปีที่แล้ว

    thanks bro

  • @Corruptedd
    @Corruptedd 2 ปีที่แล้ว

    Awesome video, i am here before 1M subs that will happen in 2 years ( i am here from 2024 and am named Ronald )

  • @treygoodman9272
    @treygoodman9272 3 ปีที่แล้ว

    Thanks you

  • @creativityshow7566
    @creativityshow7566 3 ปีที่แล้ว

    Good video

  • @a_dreamer8612
    @a_dreamer8612 3 ปีที่แล้ว

    hes back!

  • @martinkauko5742
    @martinkauko5742 3 ปีที่แล้ว

    Physics is a masterpiece

  • @suyashpurwar8310
    @suyashpurwar8310 3 ปีที่แล้ว

    Sir please make more detailed videos on chemical engines

  • @Johnadams20760
    @Johnadams20760 ปีที่แล้ว

    this was fantastic. i am wondering, as to how do you control rockets speed /vectors etc. direction /velocity in a vaccum to speed up , change direction slow down and land on the moon and such things. how does that work? i loved this video!

  • @gabepaul3911
    @gabepaul3911 3 ปีที่แล้ว +1

    2:04 That voice crack tho...

  • @manjirasaraekanayakaalphys9256
    @manjirasaraekanayakaalphys9256 3 ปีที่แล้ว

    Thank u very much sir.you are a talented teacher and so cute.good luck😊❤❤

  • @zaidahmed5464
    @zaidahmed5464 3 ปีที่แล้ว +1

    4:44 *the mass not the size
    well done video keep it up

    • @MartianWolf
      @MartianWolf  3 ปีที่แล้ว +1

      Thanks for pointing that out!

  • @smarty9516
    @smarty9516 2 ปีที่แล้ว

    Want a video on plasma powered thruster

  • @suyashpurwar8310
    @suyashpurwar8310 3 ปีที่แล้ว

    A series on chemical engines would be too good. Include a bit of maths and aerodynamics as well if you find it necessary.

  • @tyronbopape3739
    @tyronbopape3739 2 ปีที่แล้ว

    why would someone get bored when you get to the conservation of momentum that is where the video gets interesting

  • @arthurbridenstine225
    @arthurbridenstine225 ปีที่แล้ว

    You are very lucid.

  • @limabravo6065
    @limabravo6065 8 หลายเดือนก่อน +1

    If high school students don't know anything about newton's 3rd law then that's a problem

  • @scholarshiphub3273
    @scholarshiphub3273 2 ปีที่แล้ว

    Thanks for this informative video
    I'll like to join online class conducted by you; if there's any

  • @jamesharford9788
    @jamesharford9788 3 ปีที่แล้ว

    The fun fact Martin Wolf mentions is about two concepts that are mathematically the same? What is the second concept?

  • @futuretechnology7679
    @futuretechnology7679 ปีที่แล้ว +1

    But how does a rocket propel in space, if space is a vacuum, there is no atmosphere, and no air. So, what does the thrust propelled against?

    • @JackKowalewski
      @JackKowalewski 9 หลายเดือนก่อน +1

      The interior wall of the nozzle. That's same as in the atmosphere.

    • @futuretechnology7679
      @futuretechnology7679 9 หลายเดือนก่อน

      @@JackKowalewski Then where is all of the fuel stored? It is amazing that people actually think that Newtonian Physics would apply in Space. That makes no sense, and space travel using primitive rocket engine technology is a hoax.

  • @michaelmoore8744
    @michaelmoore8744 2 ปีที่แล้ว

    Is there any video of rockets actually firing in space? I understand the concept of the pressure effects on propulsion, but i actually have never witnessed rockets in space. In this day and age there should be no problem making video of that.

    • @SMHman666
      @SMHman666 2 ปีที่แล้ว

      M Moore There are many videos of that. The Saturn launches, Space X and ESA's launches all show rockets working in a vacuum. There are vids of cold gas thrusters also which orient the craft.

  • @kingking-ic8ib
    @kingking-ic8ib 3 ปีที่แล้ว

    👌

  • @Wildwoodblog
    @Wildwoodblog 3 ปีที่แล้ว

    Excellent presentation. Is it scripted or off the cuff ??? No matter. I'm on board.

    • @MartianWolf
      @MartianWolf  3 ปีที่แล้ว

      Thank you, I’m glad you enjoyed the video! And I have an outline that I construct ahead of filming, but not an actual script.

  • @JP-mn5bs
    @JP-mn5bs 3 ปีที่แล้ว

    I think you should do some research on actual thrust in a vacuum. Math is great, but real experiments often produce different results.

    • @stuartgray5877
      @stuartgray5877 3 ปีที่แล้ว +5

      Sorry but REAL EXPERIMENTS have shown MILLIONS OF TIMES that rocket propulsion works BETTER in a vacuum than it does in atmosphere, JUST AS the Tsiolkovsky rocket equation predicts.
      the company I work for buys dozens of monopropellant thrusters a year from MOOG Corp. (google them).
      We test EVERY SINGLE ONE of them IN A VACUUM and verify they produce the thrust predicted by the Rocket equation.
      Now quit spreading lies like an imbecile.

    • @kitcanyon658
      @kitcanyon658 2 ปีที่แล้ว +2

      I agree. Thus, you should do your own experiments.

  • @5_years_left
    @5_years_left 3 ปีที่แล้ว

    So it has nothing to do with the exhaust fuel energy striking the top of the combustion chamber? It's all about the energy pushing out the back, creating an equal opposite force?

    • @stuartgray5877
      @stuartgray5877 3 ปีที่แล้ว +3

      - "It's all about the energy pushing out the back, creating an equal opposite force?"
      YES. because PUHING OUT THE MASS of the exhaust creates an "EQUAL AND OPPOSITE FORCE"!
      one object CANNOT push on another object WITHOUT FEELING THE SAME FORCE.
      Per Newtons LAWS a "Force" CANNOT OCCUR ALONE, they MUST OCCUR IN PAIRS!
      You DO know about Newtons LAWS right?

    • @papalegba6759
      @papalegba6759 3 ปีที่แล้ว

      @@stuartgray5877 a rocket is one object, chatbot stu. and a gas expanding into a vacuum creates no force.

    • @fromnorway643
      @fromnorway643 3 ปีที่แล้ว +4

      @@papalegba6759
      Do you think the recoil of a gun works because the bullet pushes against the air in the barrel or outside it?
      No, a gun's recoil would be the same in vacuum, or maybe even slightly more since there wouldn't be any air in front of the bullet restricting its acceleration. Rocket engines do in fact work _better_ in a vacuum, something already noted by the Germans with their V2 rockets during WW2.

    • @papalegba6759
      @papalegba6759 3 ปีที่แล้ว

      @@fromnorway643 a rocket is not a gun, crazy chatbot sockpuppet guy.

    • @fromnorway643
      @fromnorway643 3 ปีที่แล้ว +3

      @@papalegba6759
      So, ejecting up to several _tonnes_ of hot gases per second at 3-5 times the speed of a rifle bullet does not produce a recoil? Please explain that!

  • @nighpaw4651
    @nighpaw4651 2 ปีที่แล้ว

    I've never seen anyone saying the "every action has an equel and opposite reaction" in relation to karma

  • @straaths
    @straaths 3 ปีที่แล้ว

    Why do we combust/burn the fuel? We could just release the gas. I imagine combustion/burning gives us somehow more energy. But I would appreciate details. Details about 'explosion' vs 'burning' etc.. thank you

    • @kitcanyon658
      @kitcanyon658 3 ปีที่แล้ว +1

      It isn't just the mass that you expel out the nozzle that is wanted. It is the momentum, which is mass times the velocity of the mass. We get supersonic gas speeds by combusting the propellants at high temperature.

    • @fromnorway643
      @fromnorway643 3 ปีที่แล้ว +1

      We could in principle store the gas at very high pressure and release it without burning it (a cold gas thruster), but that would require very strong and thus very heavy gas tanks, making the rocket much less efficient. Much better to store the gas as a cold liquid in thin-walled lightweight tanks and produce the high pressure when the gas is burned in the rocket engines' combustion chamber.

  • @dewiz9596
    @dewiz9596 3 ปีที่แล้ว +12

    Sit on a wheeled chair, throw medicine ball at wall. Chair, and you, go in opposite direction.
    Rocket explained.

    • @norb3695
      @norb3695 3 ปีที่แล้ว +1

      Oh yea this is big brain time

  • @Ricobaca
    @Ricobaca 2 ปีที่แล้ว

    The video starts at 9:28

  • @Whytho2000
    @Whytho2000 ปีที่แล้ว

    Where do the forces/thrust act in rockets? If I were floating in space and threw a tennis ball like an engine throwing exhaust, the ball and I would fly apart. The ball I threw would impart forces to me THROUGH my HAND and vise virsa. But because my hand is throwing only a tennis ball, the forces are easily transferred and my hand wouldn't be crushed. The question I'm left with is, if a rocket engine can generate millions of lbs of thrust, how does that delicate rocket nozzle handle millions of lbs of force? Are the forces just acting on the combustion plate? Is the entire rocket mounted to that extremely complex piece of tubes? Where do the forces act?!

  • @thilanthiwickramasinghe9587
    @thilanthiwickramasinghe9587 2 ปีที่แล้ว

    Ah so thats how life also work.When you push your past behind you,you move foward in life huh🤔🤔

  • @felreymiguel5734
    @felreymiguel5734 3 ปีที่แล้ว

    Hello :)

  • @ShakespeareanWannabe
    @ShakespeareanWannabe 3 ปีที่แล้ว

    Newton's Third Law question - when we throw something (like a pen) why don't we get pushed backwards?

    • @SMHman666
      @SMHman666 3 ปีที่แล้ว +2

      Shakespear....because the mass of the pen is so small. Technically you do but it is not noticeable to us.

    • @ShakespeareanWannabe
      @ShakespeareanWannabe 3 ปีที่แล้ว +2

      @@SMHman666 Thank you! I had a student asking, so they'll be happy to know the answer.

    • @stuartgray5877
      @stuartgray5877 3 ปีที่แล้ว +1

      @@ShakespeareanWannabe Ask your student: If you were sitting, motionless, in the middle of a perfectly frictionless ice rink, could you GET OFF the ice with a fully loaded AK-47?
      HOW?
      Have them explain.
      Then ask, what if this experiment was done in a vacuum chamber?
      What happens then?

  • @joseph-mariopelerin7028
    @joseph-mariopelerin7028 ปีที่แล้ว

    when i was a kid, every time i farthed, i was feeling propelled forward... i know, i should of become einstein...

  • @anishaditya4400
    @anishaditya4400 3 ปีที่แล้ว

    Umm,is it the size or the mass...

    • @SMHman666
      @SMHman666 3 ปีที่แล้ว

      anish.....It's the mass of an object. You can have a huge sized object but with little mass.

  • @LincolnChamberlin
    @LincolnChamberlin 3 ปีที่แล้ว +3

    There were several errors in this video
    1a) 2:33 breaking Newton's 3rd law wouldn't mean that you would push on the ground harder than the ground push back, ex you push down on the ground with the 3 Newtons, but the ground pushes up on you with 7 Newtons
    1b) 2:45 the forces will always be equal and opposite, even if not in equilibrium. Not being an equilibrium just means it will change over time
    2a) 4:55 momentum will be conserved in any closed system, regardless of whether energy is dissipated
    2b) 5:45 momentum is dissipated into the environment, not into energy. they're two different things keep them straight

    • @MartianWolf
      @MartianWolf  3 ปีที่แล้ว +3

      Thank you for the comment, these are all correct. I will be more cautious with an explanation in the future

  • @SuperCartoonist
    @SuperCartoonist 3 ปีที่แล้ว +1

    I'm only here looking for a Dr. Stone comment. Has anybody read chapter 200?

  • @Oktheorignal
    @Oktheorignal 3 ปีที่แล้ว

    Momentum is not dependent on the "size"... It's dependant on the mass of the object! If the water bottle weighed 5 tons then the truck wouldn't stand a chance!!

    • @fromnorway643
      @fromnorway643 3 ปีที่แล้ว +4

      Momentum depends on both mass and _speed._
      That's why a space shuttle main engine (RS-25) produces about 10-15 times more thrust than a typical turbofan engine ejecting the same amount of gas per second (~500 kg/sec).

  • @onyokanacleto7235
    @onyokanacleto7235 2 ปีที่แล้ว

    A

  • @angryyoungman66
    @angryyoungman66 3 ปีที่แล้ว +2

    dislikes are from flat Earthers

  • @samsmith3313
    @samsmith3313 ปีที่แล้ว

    Dude this is elementary for my brain
    Can you make a more in depth video

  • @Illuminati_HD
    @Illuminati_HD 3 ปีที่แล้ว +1

    Good Video, but for a Rocket channel wayyyyyy too basic. I am not a physiks guy and even i knew literraly everything. You should explain these things either in more detail or not . cause what you told in the video is completly self explanatory.

    • @MartianWolf
      @MartianWolf  3 ปีที่แล้ว

      I’m glad you thought it was a good video! My goal with this was to keep it very simple, so that when I explain other rocket engines in the future, I don’t need to give as much background.

  • @nicholasmartinez8767
    @nicholasmartinez8767 3 ปีที่แล้ว

    He kinda looks like drake bell

  • @BasicProcrastination
    @BasicProcrastination 3 ปีที่แล้ว

    Cute haircut

  • @samojolbo7907
    @samojolbo7907 3 ปีที่แล้ว

    Love ur video but this isnt cllege fiziks more like midle school first year.

  • @user-cd4bx6uq1y
    @user-cd4bx6uq1y 3 ปีที่แล้ว +1

    Nobody explains anything these days. Just wikipedia copy paste

  • @unclebimgoldfinch5134
    @unclebimgoldfinch5134 2 ปีที่แล้ว +1

    So your a rocket scientist.
    That don’t impress me much

    • @nerdofculture4385
      @nerdofculture4385 2 ปีที่แล้ว +2

      it's not meant to impress you lol

    • @kitcanyon658
      @kitcanyon658 2 ปีที่แล้ว +2

      The word you were looking for is “you’re”.

    • @SMHman666
      @SMHman666 2 ปีที่แล้ว

      unclebim But wait, I'm Elvis too and I have a car!

  • @MScienceCat2851
    @MScienceCat2851 ปีที่แล้ว

    This is the most average explanation you can find on internet, and its not even explanation.

  • @fritzlouisewagas3941
    @fritzlouisewagas3941 2 ปีที่แล้ว

    please go straight to the point