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Science geek brain teasers

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  • P Phil Martin

    The classic that is far too easy to google for now. If you have an aircraft on a conveyor belt. The air craft attempts to take off and the conveyor belt runs in the opposite direction matching the speed of the air craft. Does the plane take off?

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    DarthDana
    wrote on last edited by
    #59

    No. An airplane requires relative airspeed, not groundspeed. Unless the wind is blowing real hard in the opposite direction there is none so the plane will not take off.

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    • C Chris Maunder

      I was thinking that there's enough geeks here - maths, computing, physics, you name it - that we could easily put together a bunch of questions that are answerable by most, but a little tricky. I'll start the ball rolling: Q. In a constant graviational field, how can you accelerate while keeping a steady speed? Hmm - just found braingle.com[^]. There goes a productive day...

      cheers, Chris Maunder The Code Project | Co-founder Microsoft C++ MVP

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      TXDC
      wrote on last edited by
      #60

      Travel in a circle. Speed is distance per unit time (e.g. miles per hour). Acceleration is a change in speed OR direction. Traveling in a circle requires a constant change in direction hence a constant acceleration. I used the short explanation so as not to become too boring.

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      • S Sandeep Mewara

        Yes always switch... probability of winning has just doubled after what host has done... :cool:

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        RickRoc
        wrote on last edited by
        #61

        You don't actually have to switch your choice. The fact that door #3 was shown automatically improves your odds to now be 50/50. :cool: Give me ambiguity or give me something else!

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        • P Phil Martin

          And the even more classic Monty Hall problem: Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

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          RickRoc
          wrote on last edited by
          #62

          Yeah but.... what if I WANT the goats?? :laugh: Give me ambiguity or give me something else!

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          • C Chris Maunder

            I was thinking that there's enough geeks here - maths, computing, physics, you name it - that we could easily put together a bunch of questions that are answerable by most, but a little tricky. I'll start the ball rolling: Q. In a constant graviational field, how can you accelerate while keeping a steady speed? Hmm - just found braingle.com[^]. There goes a productive day...

            cheers, Chris Maunder The Code Project | Co-founder Microsoft C++ MVP

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            jmtangent
            wrote on last edited by
            #63

            Ok, this is a fun one. Just jump in your car on a Sunday morning, find a big empty parking lot, crank the wheel just enough so that you can complete a circuit without crashing into anything, and set your cruise control to 5MPH. This will keep you in a constant gravitational field (near the surface of the Earth), a steady speed (courtesy of your cruise control), and under constant acceleration because you will be constantly changing direction (acceleration is defined as a change in speed or direction).

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            • I Ian Shlasko

              Bah, too easy... This site is full of geeks... Everyone should know this already... Circular orbit = Constantly accelerating toward the center of the circle, causing speed to remain constant (Only direction changes). Now, if you said constant VELOCITY, then there would be no answer :)

              Proud to have finally moved to the A-Ark. Which one are you in?
              Author of the Guardians Saga (Sci-Fi/Fantasy novels)

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              Exbuhe
              wrote on last edited by
              #64

              Not quite right. You could have reached terminal velocity (eg. sky-diving), and so your velocity would be constant (no change in speed or direction). Unless you don't count that as a constant gravitational field because you're getting closer to earth, and therefore it's getting stronger ;P

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              • E Exbuhe

                Not quite right. You could have reached terminal velocity (eg. sky-diving), and so your velocity would be constant (no change in speed or direction). Unless you don't count that as a constant gravitational field because you're getting closer to earth, and therefore it's getting stronger ;P

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                Ian Shlasko
                wrote on last edited by
                #65

                If your velocity isn't changing, then you aren't accelerating. You're being acted upon by quite a few forces, but the net change to your velocity is still zero, and acceleration is defined as a change in velocity over time.

                Proud to have finally moved to the A-Ark. Which one are you in?
                Author of the Guardians Saga (Sci-Fi/Fantasy novels)

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                • D Dan Neely

                  Wrong. The engines are moving it forward but the belt is moving it backwards at the same speed. As a result its net velocity is zero meaning the wings aren't generating lift so it stays put. The only way it could get aloft is if it's a helicopter/vtol/or it's a windy day and the AC is an ultralight with a takeoff velocity lower than the wind speed. Edit: ooops.

                  3x12=36 2x12=24 1x12=12 0x12=18

                  modified on Tuesday, May 4, 2010 3:53 PM

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                  MatthysDT
                  wrote on last edited by
                  #66

                  Dan Neely wrote:

                  Wrong. The engines are moving it forward but the belt is moving it backwards at the same speed. As a result its net velocity is zero meaning the wings aren't generating lift so it stays put. The only way it could get aloft is if it's a helicopter/vtol/or it's a windy day and the AC is an ultralight with a takeoff velocity lower than the wind speed. Edit: ooops.

                  Either I'm missing a very important point, or I'm right and so WERE you... but I fully agree with everything you crossed out. Just answer one question, may I assume, that, the conveyor belt matches the planes speed so accurately that friction etc etc is ruled out and thus the resulting airspeed is 0? If so, the plane will never "take-off" since there is no lift. Edit: O.k I understand now that my assumption is invalid. The plane will eventually reach take-off velocity since the conveyor belt doesn't influence the movement generated by the jet engine/prop. But those wheels should be greased like non-other!

                  modified on Thursday, May 6, 2010 4:05 AM

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                  • F Fabio Franco

                    Knowing that the distance from Earth to the center of the galaxy is approximately 2.5704*E17 km, is it possible to travel to the center of the galaxy during a lifetime at the speed of light? If it is, how long would it take?

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                    jsc42
                    wrote on last edited by
                    #67

                    If you travel at the speed of light, time is irrelevant. From the traveller's perspective, no time elapses. Therefore, there is no meaning to 'during a lifetime' for the traveller as all distances take no time at all. However, from an external observer's perspective, you could only travel for ~70 light years during a lifetime, assuming that 70 years is a typical lifespan and that the observer started observing as soon as he / she was born, as after that the observer's lifetime would have ended. (But the traveller's lifetime would not. )

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                    • P PIEBALDconsult

                      Q. How many roads must a man walk down? :-D

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                      Richard Deeming
                      wrote on last edited by
                      #68

                      Do I know what "rhetorical" means? ;P http://grammar.about.com/od/rhetoricstyle/a/homerhet.htm[^]


                      "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                      "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

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                      • J jsc42

                        If you travel at the speed of light, time is irrelevant. From the traveller's perspective, no time elapses. Therefore, there is no meaning to 'during a lifetime' for the traveller as all distances take no time at all. However, from an external observer's perspective, you could only travel for ~70 light years during a lifetime, assuming that 70 years is a typical lifespan and that the observer started observing as soon as he / she was born, as after that the observer's lifetime would have ended. (But the traveller's lifetime would not. )

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                        Fabio Franco
                        wrote on last edited by
                        #69

                        That's correct, the meaningless of 'during lifetime' was exactly the decoy applied on a college exam some years ago. Just to add, by traveling on the speed of light, the traveler can get anywhere instantly.

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                        • I Ian Shlasko

                          If your velocity isn't changing, then you aren't accelerating. You're being acted upon by quite a few forces, but the net change to your velocity is still zero, and acceleration is defined as a change in velocity over time.

                          Proud to have finally moved to the A-Ark. Which one are you in?
                          Author of the Guardians Saga (Sci-Fi/Fantasy novels)

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                          Exbuhe
                          wrote on last edited by
                          #70

                          Right. Read the question wrong :-O

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                          • E Euhemerus

                            Here's one that I don't personally have an answer to, but which has had me wondering for years. Why is the speed of light limited to 186,000 miles/second. Why this particular speed - what is the determining factor, and why can't the speed of light be exceeded?

                            With knowledge comes responsibilty; just think of splitting the atom as an obvious example.

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                            jsc42
                            wrote on last edited by
                            #71

                            The 'speed' (should be 'velocity') of light is determined by the medium that it shines through. Some esoteric materials have been created [citation needed] where light speed through them is less than walking pace. The maximum velocity of light is when it travels in a vacuum and is approx. 186282 miles per second. Any massless entity can reach this velocity (we just use 'light' as it the most well known example). Anything with mass is a victim of Einstein's famous formula: E = m c2 which, amongst a great number of other things, implies that the amount of energy required to move anything with mass grows asymptotically and to reach the velocity of light takes an infinite amount of energy. 186282 miles per second is just the theoretical limit of the velocity of an item with infinite energy. I don't know why massless entities have an upper limit as putting m = 0 into the equation comes out with E = 0. Most Sci-Fi FTL (faster than light) engines rely on warping space so that the craft still technically travel at less than light speed (sic) but the universe is distorted. The Big Bang theory uses this idea to explain how the universe expanded faster than light during an early phase called 'inflation'. Another postulated way of travelling faster than light is to jump the gap between the curve going up to infinity and its mirror on the faster than light side going down. A similar 'jumping the gap' happens at the other end of the scale in quantum physics. One interesting phenomenon of this conjecture is that you still cannot travel at light velocity itself, any more than you can rest at a complete stop.

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                            • S Steve Mayfield

                              The answer, my friend, is blowin' in the wind ... Bob Dylan / Peter, Paul & Mary

                              Steve _________________ I C(++) therefore I am

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                              James Lonero
                              wrote on last edited by
                              #72

                              That was my answer too!

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                              • C Chris Maunder

                                I was thinking that there's enough geeks here - maths, computing, physics, you name it - that we could easily put together a bunch of questions that are answerable by most, but a little tricky. I'll start the ball rolling: Q. In a constant graviational field, how can you accelerate while keeping a steady speed? Hmm - just found braingle.com[^]. There goes a productive day...

                                cheers, Chris Maunder The Code Project | Co-founder Microsoft C++ MVP

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                                James Lonero
                                wrote on last edited by
                                #73

                                What is the ratio of matter to anti-matter to achieve maximum warp to get your spaceship out of the galaxy?

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                                • G Gregory Gadow

                                  Good! The answer I learned was slightly different: As much wood as a woodchuck could chuck, if he could chuck wood.

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                                  dawmail333
                                  wrote on last edited by
                                  #74

                                  361.9237001 cubic cm a day. http://www.wolframalpha.com/input/?i=how+much+wood+could+a+woodchuck+chuck%3F[^] :laugh: Love the annals of improbable research...

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                                  • 0 0x3c0

                                    They aren't science geek questions, but are probably close enough ;) Q. Assuming a system which uses physical addressing mode (no virtual address space of any sort) and operates in Virtual 8086 mode, what would be the result of writing to a null pointer? Q. Where in physical memory can the RSDP be located?

                                    OSDev :)

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                                    dawmail333
                                    wrote on last edited by
                                    #75

                                    I'm... lost for words.

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                                    • F Fabio Franco

                                      That's correct, the meaningless of 'during lifetime' was exactly the decoy applied on a college exam some years ago. Just to add, by traveling on the speed of light, the traveler can get anywhere instantly.

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                                      dawmail333
                                      wrote on last edited by
                                      #76

                                      Hey, can you explain that? Sounds interesting.

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                                      • D dawmail333

                                        Hey, can you explain that? Sounds interesting.

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                                        Fabio Franco
                                        wrote on last edited by
                                        #77

                                        I find it really difficult to explain to my brothers without actually using physics theories and equations. But the basic concept is that the faster you travel, the slower the time passes to you (for everyone else watching you travel, time passes in their own pace). A very know example is the "Twins Paradox" and astrounauts. Because astronauts travel at high speeds in orbit, they age slower (we can't notice because the amount is very small amount). This video[^] explains it a little better. There are equations that allows you to calculate the amount of time that passes depending on speed, but I won't go that deep here. I hope that makes a little better for you to understand. Regards, Fábio

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