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Author Topic: PUZZLE -- Falling Raindrops  (Read 2006 times)

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Offline Neil Obstat

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Re: PUZZLE -- Falling Raindrops
« Reply #30 on: September 10, 2018, 11:58:33 PM »
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  • Neil, do these questions pertain to the same word?
    .
    No. Two entirely unrelated words. Sorry for the confusion!
    I should have made it two separate posts, I suppose.
    .
    I tried using a search engine to solve these given the clues and it didn't help.
    They say you can find anything online but here's a good example of something you can't find online!
    .
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    Online TKGS

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    Re: PUZZLE -- Falling Raindrops
    « Reply #31 on: September 11, 2018, 01:36:41 PM »
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  • .
    Speaking of palindromes, can anyone say what is arguably the most famous palindrome of all time?

    (When something is more well-known among more people, it can be said that it is therefore more popular than something else that had been popular among a larger percentage of a much lesser population.)
    Is it not:

    Madam, I'm Adam.


    Offline B from A

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    Re: PUZZLE -- Falling Raindrops
    « Reply #32 on: September 11, 2018, 01:48:02 PM »
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  • .
    Speaking of palindromes, can anyone say what is arguably the most famous palindrome of all time?
    .
    Able was I, ere I saw Elba.  
    :confused:

    Offline Neil Obstat

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    Re: PUZZLE -- Falling Raindrops
    « Reply #33 on: September 11, 2018, 02:42:36 PM »
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  • .
    This is NOT an example of something you can't find online! E.g.,
    .
    History of the Palindrome 

    .
    The word palindrome is derived from the Greek ‘palin,’ or “back” and ‘dromos’ or "direction." The actual Greek phrase alluded to the backward movement of the crab. Palindromes date back to about 70AD, when they were first found as a graffito buried in ash at Herculaneum.

    .
    This first known palindrome was in Latin and read “sator arepo tenet opera rotas” which means either:
    .
    The sower Arepo holds the wheels with effort.

    or

    The sower Arepo leads with his hand the plough.
    .

    .
    For newcomers to this historical curiosity, the letters were found arranged in a matrix, carved in stone along a public roadway:


    .
    S  A  T  O  R
    A  R  E  P  O
    T  E  N  E  T
    O  P  E  R  A
    R  O  T  A  S

    .
    The thing is remarkable because not only does it have a cryptic meaning (nonsense, or not?) but the words can be read top-left forward to bottom-left forward or top-to-bottom and left to right, or bottom right backwards to top right backwards, or bottom right upwards to bottom left upwards. In case you missed it, the center cross "TENET" is formed with vertical (up or down) and horizontal (from the left or from right to left) which is only possible because the word itself is its own palindrome. 
    .
    I find it amusing to think how many people over who knows how many years, would pass by this inscription carved in stone and look at it and pause to think, but what did they think? What did they say? Was it something they looked forward to seeing as they were approaching home again on their return from an arduous journey, or was it the last thing they saw as they were leaving home for who knows how long, perhaps never to return, like during time of war? Or was it a joke? Or, which is possible knowing what we do of that culture, was the mere thought of making it into a joke somehow prohibited by law and a potential basis for severe punishment? The cultural significance could have been immense, or, in the opposite extreme, perhaps it was simply a form of public art or decoration intended to provide a moment of amusement or diversion.
    .
    Be that as it may, there is another, more modern palindrome, that has gained more attention in the modern world, due to its relevant subject matter. After all, who today cares about some sower named Arepo, who was using a plough, or holding wheels for who-knows-what purpose? For the past 130 years, however, the Panama Canal has garnered worldwide attention. 
    .
    A man, a plan, a canal, Panama!
    .
    .
    Which BTW is a topic covered on the same page as the article above on the Herculaneum palindrome. So it can be found online!
    .

    I have known people who have not recognized this as being a word puzzle, and thought it was a famous phrase because everyone knew who the man was, and everyone knew what the plan was because everyone knows what the canal is, and they were too embarrassed to ask any questions for being thought of as dense or silly or unintelligent, and while they did NOT know who the man was, or they did NOT know what the plan was, but they DID know what the canal was, for lack of a better excuse they lost sleep over the mystery and never managed to mention their confusion to anyone. 
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    Offline Neil Obstat

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    Re: PUZZLE -- Falling Raindrops
    « Reply #34 on: September 16, 2018, 09:30:59 AM »
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  • Weird Al Yankovic pushes the envelope in palindromes with his song, "Bob," which title, itself, is a palindrome.
    From album, Poodle Hat (2003)
    .

    .
    (Parody on Bob Dylan song, "Subterranean Homesick Blues")



    .
    I, man, am Regal, a German am I
    Never odd or even
    If I had a Hi-Fi
    Madam, I'm Adam
    Too hot to hoot
    No lemon no melon
    Too bad I hid a boot
    Lisa Bonet ate no basil
    Warsaw was raw
    Was it a car or a cat I saw?
       (harmonica interlude)
    Rise to vote, sir
    Do geese see God?
    Do nine men Interpret? Nine men I nod
    Rats live on no evil star
    Won't lovers revolt now?
    Race fast safe car
    Pa's a sap
    Ma is as selfless as I am
    May a moody baby doom a yam
       (harmonica interlude)
    Ah Satan sees Natasha
    No devil lived on
    Lonely Tylenol
    Not a banana baton
    No X in Nixon
    O stone, be not so
    Geronimo, no minor ego
    "Naomi" I moan
    A Toyota's a Toyota
    A dog, a panic, in a pagoda
       (harmonica interlude)
    Oh no, Don Ho
    Nurse, I spy gypsies, run!
    Senile felines
    Now I see bees, I won
    UFO tofu
    We panic in a pew
    Oozy rat in a sanitary zoo
    God, a red nugget, a fat egg under a dog
    Go hang a salami, I'm a lasagna hog
        (harmonica interlude and end of Bob)
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    Offline Neil Obstat

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    Re: PUZZLE -- Falling Raindrops
    « Reply #35 on: September 16, 2018, 09:54:18 AM »
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  • .
    Which raindrops fall faster, the small ones or the large ones?
    .
    .
    (Explain your answer using verifiable physical principles, if possible.)
    .
    The larger raindrops fall faster. 
    .
    Large raindrops fall faster because a falling raindrop is subject to two opposing forces -- gravity and air resistance. 
    Air resistance is proportional to the drop's cross section, and it increases with velocity. 
    At first, the slowing effect of air resistance is very small, and the drop keeps falling faster because of the constant force of gravity.
    As the speed increases, so does air resistance -- until the speed is so great that the force of air resistance equally opposes the force of gravity.
    From that point the drop starts falling at a uniform speed, the so-called terminal velocity
    By the time raindrops are observed falling on earth they have long ago already reached their terminal velocity.
    .
    Comparing different sizes of raindrops:
    The force of gravity grows in proportion to the drop's volume, which is the cube of the radius.
    On the other hand, air resistance builds up at the cross-section area of the drop, which is the square of the radius.
    As the drops radius increases, the force of gravity increases faster than the opposing force of air resistance.
    The larger drop can reach a greater terminal velocity before the air resistance catches up with it.
    Consequently, larger drops have a higher terminal velocity, which means they fall faster.
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    Offline Neil Obstat

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    Re: PUZZLE -- Falling Raindrops
    « Reply #36 on: September 16, 2018, 05:49:11 PM »
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  • Neil, do these questions pertain to the same word?
    .
    First question: .
    What English word has all 6 vowels in order?  
    .
    Answer: facetiously  --- a, e, i, o, u, y 
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    Offline Stanley N

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    Re: PUZZLE -- Falling Raindrops
    « Reply #37 on: September 17, 2018, 09:40:54 AM »
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  • First question: .
    What English word has all 6 vowels in order?  
    .
    Answer: facetiously  --- a, e, i, o, u, y
    Not counting "anteriourly", at least one other English word has the same property.


    Offline Neil Obstat

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    Re: PUZZLE -- Falling Raindrops
    « Reply #38 on: September 17, 2018, 10:22:04 AM »
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  • Not counting "anteriourly", at least one other English word has the same property.
    .
    So which other English word contains "wsst?"  (Go ahead and use the British variant spelling, if you must!)
     
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    Offline Stanley N

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    Re: PUZZLE -- Falling Raindrops
    « Reply #39 on: September 17, 2018, 10:33:36 AM »
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  • .
    So which other English word contains "wsst?"
    Newsstand.
    There are many 6-letter words that have all letters in alphabetical order, no letters repeated. "Almost", for example. I couldn't think of any 7-letter words without repeats.
    However, there are 7-letter words with the letters in reverse order, no letters repeated. Hint: try ending in -ed.

    Offline Neil Obstat

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    Re: PUZZLE -- Falling Raindrops
    « Reply #40 on: September 17, 2018, 10:47:46 AM »
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  • Newsstand.
    There are many 6-letter words that have all letters in alphabetical order, no letters repeated. "Almost", for example. I couldn't think of any 7-letter words without repeats.
    However, there are 7-letter words with the letters in reverse order, no letters repeated. Hint: try ending in -ed.
    .
    Newsstand isn't another word, that is, unless you can produce an alternative. 
    .
    Letters in reverse order: sponged, wronged, trollied, spoonfed, spoonfeed

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    Offline Neil Obstat

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    Re: PUZZLE -- Falling Raindrops
    « Reply #41 on: September 28, 2018, 04:29:01 PM »
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  • .
    So far this thread has 3 puzzles going that have not been answered all right, or completely:
    .
    Which raindrops fall faster, the small ones or the large ones?  <--- (The OP)
    .
    A baseball is tossed upwards into the air.
    Which takes longer, its flight up or its drop back down?
    .
    A large stone is 100 times heavier than a small rock, but when dropped at the same time, they fall with the same acceleration (ignoring air resistance). Why doesn't the large stone accelerate faster? Is it because of its weight, its energy, its surface area or its inertia?
    .
    .
    I'd be glad to post my solutions but I don't want to spoil anyone's fun!
    .
    The baseball goes upwards faster and falls back down more slowly, having lost velocity due to air resistance all the way up and down.
    Therefore, since the distance traveled is the same up and down, it takes longer to drop back down than it does to fly up.
    .
    .
    As for the two stones, common sense tells us that heavy objects should accelerate faster than lighter ones, but experimental science has proven this is not the case. Newton's second law of motion shows that acceleration is directly proportional to force (weight in this case) and inversely proportional to mass. The equation (f=ma, force equals mass times acceleration) can be written as:

    a = f/m

    where a is acceleration, f is force and m is mass. The resistance to change in motion due to mass is called inertia. Therefore, even though a large stone may weigh 100 times more than a small rock, it has 100 times more mass (and so 100 times more inertia), so the two factors cancel out (100 / 100 = 1). The answer is weight and inertia which offset each other, make the two stones fall together.
    .
    In general, and ignoring air resistance, the acceleration of every falling body near sea level is 32 feet per second per second. If this experiment were tried at a greater elevation so the stones could fall for say, a mile or more, they would each achieve their respective terminal velocities, which would be faster for the larger stone and slower for the smaller stone, for the same reason as explained in the raindrop answer (the square of the radius vs. the cube of the radius). In that case the surface area would become part of the answer, since half the surface area would be subject to air resistance, more precisely, the cross section area of each stone. But in this puzzle, that the two stones fall at the same rate is a given, and air resistance is specifically excluded.
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    Offline Neil Obstat

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    Re: PUZZLE -- Falling Raindrops
    « Reply #42 on: September 29, 2018, 11:57:24 PM »
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  • .
    Which leaves us with the cork in the glass puzzle.
    .
    .
    So far this thread has 3 puzzles going that have not been answered all right, or completely:
    .
    Which raindrops fall faster, the small ones or the large ones?  <--- (The OP)
    .
    A baseball is tossed upwards into the air
    Which takes longer, its flight up or its drop back down?
    .
    A large stone is 100 times heavier than a small rock, but when dropped at the same time, they fall with the same acceleration (ignoring air resistance). Why doesn't the large stone accelerate faster? Is it because of its weight, its energy, its surface area or its inertia? 

    .

    .
    CORK IN A GLASS                     ...
    .
    You have no doubt observed that a cork will always drift over to the side of a water glass and stay there. Can you think of a way to make the cork float in the middle of the glass without touching either the cork or the glass?
    .
    .
    Regarding this last one, if you don't have a cork, that's no problem. All you need is a glass of water and a metal or plastic bottle cap (like the one from your last bottle of beer or soda or filtered water). With the glass less than full, so you can see the surface of the water reflecting a light beyond the glass, place the bottle cap into the glass of water, carefully, so as to not let any water get into the cap. Then stand still and watch. The cap will slowly drift to the side of the glass. Notice as it approaches the glass wall, the cap ACCELERATES. This is very important to see happening. You can try bumping the cap with a pencil or your finger to make it stay in the center if you want to experiment, but to solve the puzzle you can't be touching the cap with anything like that.
    .
    .
    There is a definitive answer.
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