Correct! Can you tell me why the first puzzle puzzle I gave could not be answered?
- Kevin
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Correct! Can you tell me why the first puzzle puzzle I gave could not be answered?
- Kevin
Well it starts with base 13, then base 10, base 7, and finally base 4. If we were to continue it farther then the next entry would be base 1. From my understanding there is no way to represent the number 2046 in base 1.
By the way good question Kevin.
The only questions I can think of are sports related so unless you want some crazy sports question like who played 3rd base for the Pirates in 1975 someone else can give it a try.
-Ben
P.S. If you get the joke about the question above then you watch way too much ESPN. I think the year is 1975.
But there is:Quote:
Originally posted by bmacri
Well it starts with base 13, then base 10, base 7, and finally base 4. If we were to continue it farther then the next entry would be base 1. From my understanding there is no way to represent the number 2046 in base 1.
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Good answer! :pQuote:
Originally posted by solarflare
But there is:
000...000
I'm not so sure about that. For example in oct
2046 = 6*8^0 + 7*8^1 + 7*8^2 + 3*8^3.
or in base 13
2046 = 5*13^0 + 1*13^1 + 12*13^2.
so in base 1 you are saying
2046 = 0*1^0 + 0*1^1 + 0*1^2 + ... + 0*1^2045.
I'm not sure that works. Of course you may have been kidding, I don't know.;)
Well in base one, the digit doesn't matter. I could just as easily have written ***...*** for a clearer meaning. It's the same thing as tally marks.Quote:
Originally posted by bmacri
I'm not so sure about that. For example in oct
2046 = 6*8^0 + 7*8^1 + 7*8^2 + 3*8^3.
or in base 13
2046 = 5*13^0 + 1*13^1 + 12*13^2.
so in base 1 you are saying
2046 = 0*1^0 + 0*1^1 + 0*1^2 + ... + 0*1^2045.
I'm not sure that works. Of course you may have been kidding, I don't know.;)
Quote:
Original question from aio:
Sir Isaac Newton said that "for every action, there is always an opposite and equal reaction" (I think that's the exact word, just correct me if i'm wrong).
We know that if we move a small object, we can easily do it. But how does that statement apply? We cannot, supposed to be, move the object because it will always react according to the force we apply?
When you answer, treat me like a kid please.
Quote:
Doctor Luz:
Well, I think the small object reacts according to the 3rd newton law, however this reaction is not in the small object, is in the object which comunicates the force to the small object (your hand, your finger...).
You comunicate a force to the object and the object comunicates the same force with opposite sense to you.
Then the object moves. If the force you comunicate is instantaneous, the object moves accordingly with the 2nd Newton's law with an acceleration F=m*a.
Quote:
bmacri:
When thinking about forces it's important to remember that you may not be aware of all the forces being applied. Here are a couple of examples that might help.
First imagine you’re standing on solid flat ground and you try to push a 3 kg box. It shouldn't be that hard to move. Now try and push a 300 kg box. That should be almost impossible to move. Now imagine doing this on a frozen lake. If you tried to push the 300 kg box what would happen? The box wouldn't move you would. You would be pushed back away from the box. When you push something, something has to be pushing on you if you don't move. Many times the thing pushing on you is the earth. It's hard to see that when you’re on solid ground but on the ice it becomes much more apparent.
The next question might be if the earth is pushing back why doesn’t it move? Well it does. Now this will really mess with your head but like the good Doctor Luz said Force=mass*acceleration. If you apply a 10 Newton (N) force to an object the earth applies a 10N force to you (assuming you don't move and the object does.) Since the earth is so large compared to the object its acceleration will be very small. And usually completely insignificant. I think I'm starting to ramble now so I'll shut up.
Does that help? If not let me know and I'll try to explain a little better.
Quote:
Elrond
To complete the example of bmacri, if you push a 3 kg box hard enough while standing on ice, it will move forward, but you will also move a little backward. This shows the the box, even small, applies some reactive force upon you.
Quote:
KevinHall
Have your child put on some roller blades and throw something heavy. Have someone behind him (or her) though ready to catch him (or her) b/c they could easily fall. But the point is that both the object thrown and your child will move -- just in an opposite direction. Your child pushes on the object, thus it moves. The object pushes back on your child thus he (or she) moves. They move in the opposite direction.
I tutored for university physics for 3 years. Let me know if you need some more examples or if you have some other questions.
I actually worked this out in my head once. I believe the earth's center of mass moves a distance of only a fraction of a width of a proton (very small fraction if I remember correctly) when we throw a heavy object as far as we can. Just in case anyone was wondering.
Quote:
Elrond
And as it is likely enough that other people will throw the same kind of object in the opposite direction somewhere on Earth, it gives an even weaker result...
Quote:
KevinHall
And given that the earth is not truely a rigid object, the effect that you have on the earth will be mostly local decaying with distance rather quickly (within a couple of yards of where you stand for any significant measurements).
Quote:
bmacri
So if everyone on one side of the earth was to jump up and down at the same time would the earth go flying off into space? Or better yet how many people jumping up and down on the same side of the earth would it take for the earth to be thrown out of orbit?
I'm not really expecting an anwser it's just a question that seems to come up everytime when a discusion like this occures.
Quote:
Elrond:
To be calculated, but it might be more that the number of people that have ever lived on Earth so far. It means that the risk is small enough
Sorry I wasn't able to return immediately.Quote:
KevinHall
No. People (even collectively) do have the strength to overcome the gravity of the earth. The center of mass of the earth would follow the same orbit around the sun and in one second, everything would be back to normal.
It would take an aweful lot. You would need the collective mass of people to much greater (thrown out of orbit) than the mass of the earth. Say the average person weighs 100kg (perhaps a little on the heavy side) and "much greater" would be a factor of at least 100. Then we have 100*(6e24 kg / 100kg) = 6e24 people or 6 septillion people (6 trillion trillion people).
Anyway, thank you friends for the enthusiastic replies. But I think I have to restate (or clarify) the question. To quote myself partly in the original question; "But how does that statement apply?". In other words, it's not a question what will happen after striking the object. It's the application of the statement of the law based on what we know will happen.
Put it the other way around, it seems that the statement is wrong based on what we know (or observed) will happen because based on that statement, the reaction will always be equal. In other words no matter how strong the force we will apply, the object will not move because their is always an equal opposite reaction.
Put it the other way around again, the question probably is that, do I really understand English? :D :D
k
let me post a simple one :D
than i'll continue with some hard ones :p :p :p
continue the following sequence (each line is one item)
(warning cyrillic characters ;) )
qaz!-10VIÀ10
wsx@/11VÁ9
edc#|13IVÂ10
rfv$\17IIIÃ11
tgb%-25IIÄ10
don't argue :) learn the cyrillic alphabet
AIO. Yes the forces are equal and opposite but they act on different bodies, so they do not cancel each other out.
I think I get it now. I was having trouble with the idea of what 0 would represent. I was thinking it would have to represent zero and one in base one. But if I'm following what your saying the representation of zero in base 1 is nothing. 0 is ONE thing and 00 are TWO things and so on.Quote:
Originally posted by solarflare
Well in base one, the digit doesn't matter. I could just as easily have written ***...*** for a clearer meaning. It's the same thing as tally marks.
That's pretty cool. Thanks for the explaination.
-Ben
YeahQuote:
Sir Isaac Newton said that "for every action, there is always an opposite and equal reaction" (I think that's the exact word, just correct me if i'm wrong).
Well I think to make the statement right we have to remove the words "and equal":D.. Newtons didn't think that the statement is obviously one sided - the doer is always weak.
:confused: :confused:
There is no problem with the statement.
souldoug, what I mean is that does the statement applies in real life? What about everytime you press the key in the keyboard, does it react equaly with the same force as you did? I don't think so:D:D
Yes it does, that is why you feel yourself push on it
Let me just state what I think the basic misunderstanding is here.
If you take a single body and apply equal, but opposite forces to it, then it will not move. TRUE. If two people push with equal force on a box from oppostie sides, then it is going nowhere.
The action-reaction pairs of Newton's Third Law are always two separate bodies. The forces do not cancel each other because they are not acting on the same body. PERIOD. If the two bodies have different masses then they react to the equal in magnitude forces differently.