Spaceman3750
Apr 25 2006, 11:32 AM
OK, I have a quizish thingy for you guys

.
A Cessna 150 loses it's engine at 2,000ft AGL. Assuming there are no winds that would adversely effect flight, and the pilot holds a straight line, how many feet will the aircraft travel before it hits the ground?
Show work and answer in a spoiler.
100KP to the first person to get it right.
Herloss
Apr 25 2006, 12:21 PM
I shall need it's weight, the speed at which it is moving, whether or not we are considering wind resistance, and what level of presicion you are using for accelleration due to gravity.
Spaceman3750
Apr 25 2006, 12:28 PM
If I have figured it correctly, all that should be unnecessary... You will need to look up some of the Cessna 150 specs though... Or maybe I'm wrong

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Assume it's a perfect universe.
Herloss
Apr 25 2006, 12:35 PM
screw that. I have my own physics homework to do, I'm not looking anything up.
Spaceman3750
Apr 25 2006, 12:36 PM
LOL, fine, i'll tell you. The Cessna 150 has a glide ratio of 7:1.
Now, knowing what to do with that is the key

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EDIT: PS, this isn't my Physics homework

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Herloss
Apr 25 2006, 01:19 PM
well then, that's easy (if the glide ratio is what I think it is)
» Click to show Spoiler - click again to hide... «
14000 ground feet from the point of losing it's engines to the point of touching the ground. It's angled path, however, will be root 200,000,000 feet, or about 14242.14 feet. This is if the glide ratio is the ratio of horozantal feet to vertical feet.

thisoldmage
Apr 25 2006, 02:35 PM
» Click to show Spoiler - click again to hide... «
Shouldn't it never touch the ground... The way I read it it sounded like...it should keep going in a straight line
Herloss
Apr 25 2006, 02:41 PM
QUOTE(thisoldmage @ Apr 25 2006, 06:35 PM)
» Click to show Spoiler - click again to hide... «
Shouldn't it never touch the ground... The way I read it it sounded like...it should keep going in a straight line
» Click to show Spoiler - click again to hide... «
by "in a straight line" it means horazontally, without turing in any direction. It's lost it's engines, so it cannot maintain a level altitude, and gravity takes effect.
Mynck
Apr 25 2006, 02:44 PM
Wouldn't that change depending on the speed it's moving at in the beginning? A plane traveling at flight speed, for example, wouldn't lose any altitude.
Herloss
Apr 25 2006, 02:49 PM
But it loses speed when the engines are no longer propelling it, and it goes into a glide, although if it were in a "perfect universe" as spacey put it, and we werent considering wind resistance, it wouldnt lose said speed.
The problem should probobly be reworded in a way to address problems such as these.
Spaceman3750
Apr 25 2006, 05:39 PM
Anyway, HL thought right, and wins. I will send you the 100KP in a little while.
A glide ratio is the feet traveled per foot of altitude lost. In this example, a Cessna 150 has a glide ratio of 7:1, making it glide 14,000 feet, or just under three miles, before it will hit the ground.
Herloss
Apr 25 2006, 05:44 PM
keep the points and put them into another contest. God knows I dont need them.
Spaceman3750
Apr 25 2006, 05:52 PM
LOL, OK

. Not a two word post...
Korps Commander
Apr 25 2006, 08:45 PM
You really should be warned for that.
Anyways, shouldn't the Cessna keep going forever?
EDIT: Wait, nvm, appparently mage already asked that.
lappy512
Apr 25 2006, 09:03 PM
I was just going to say myscrnnm would be coming to me ranting about that post, how spaceman should be warned, but someone already did that for me

I really need to look up how a glide ratio works, since it seems that if the cesenna is moving at 0 mph horizontally, then it won't glide 7:1
Herloss
Apr 26 2006, 10:58 AM
QUOTE(lappy512 @ Apr 26 2006, 01:03 AM)
I really need to look up how a glide ratio works, since it seems that if the cesenna is moving at 0 mph horizontally, then it won't glide 7:1
No, it wont, but this is at cruise speed. The plane is flying along when it loses the use of it's engines and goes into a glide.
Actually, if it were moving at 0mph, it would be accellerating straight towards the earth. lol
Spaceman3750
Apr 26 2006, 12:26 PM
Glide ratios are usually only important in gliders, but in the case of an engine failure, it helps to know the glide ratio of your aircraft

.
thisoldmage
Apr 26 2006, 02:23 PM
QUOTE(HerLoss @ Apr 25 2006, 03:40 PM)
» Click to show Spoiler - click again to hide... «
by "in a straight line" it means horazontally, without turing in any direction. It's lost it's engines, so it cannot maintain a level altitude, and gravity takes effect.
Oh, just thought he might have been joking, BTW nice plane. [/sarcasm]
And, yeah, this thing has a MASSIVE margin of error, the question doesn't provide clear details, but I guess with the given information HL would be right.
Herloss
Apr 26 2006, 03:54 PM
QUOTE(thisoldmage @ Apr 26 2006, 06:23 PM)
Oh, just thought he might have been joking, BTW nice plane. [/sarcasm]
And, yeah, this thing has a MASSIVE margin of error, the question doesn't provide clear details, but I guess with the given information HL would be right.
There is very little margin of error. If there are no cross, tail, or head winds, up or down drafts to alter the plane's flight path, it will glide to the ground at the approxamate ratio given. spacey DID say to consider it a perfect environment.
thisoldmage
Apr 26 2006, 05:10 PM
QUOTE(HerLoss @ Apr 26 2006, 04:54 PM)
There is very little margin of error. If there are no cross, tail, or head winds, up or down drafts to alter the plane's flight path, it will glide to the ground at the approxamate ratio given. spacey DID say to consider it a perfect environment.
NVM, didn't notice that, I wish I lived in Spacemans perfect world... Wait? What would the air be made out of? Pure Oxegen? Nothing? Perfection?
Mynck
Apr 26 2006, 05:44 PM
Well, that would depend on what we would consider perfect. Perfect entrophy? Perfect order? If it were perfect entrophy, it'd probably be pure hydrogen, pure quark matter, or something else, and there'd be no net gravity. If it were perfect order... I have no idea. If it were perfect nothing, there'd be nothing.
Anyways, let's have another math thingy:
1. Write an equation that gives the following chart:
| x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | etc |
| y | 7 | 77 | 777 | 7777 | 77777 | 777777 | 7777777 | etc |
2. Prove that none of the polynomials in the following series can be factored:
x + 1
x
2 + x + 1
x
3 + x
2 + x + 1
x
4 + x
3 + x
2 + x + 1
etc.
Prize of 500kp per problem! Plus a Fun-in-a-Bun item!
Herloss
Apr 26 2006, 06:06 PM
QUOTE(Mynck @ Apr 26 2006, 09:44 PM)
Well, that would depend on what we would consider perfect. Perfect entrophy? Perfect order? If it were perfect entrophy, it'd probably be pure hydrogen, pure quark matter, or something else, and there'd be no net gravity. If it were perfect order... I have no idea. If it were perfect nothing, there'd be nothing.
Anyways, let's have another math thingy:
1. Write an equation that gives the following chart:
x | 1 | 2 | 3 | 4 | 5 | 6 | etc |
y | 7 | 77 | 777 | 7777 | 77777 | 777777 | etc |
ok, here's my attempt at showing it in summation notation, although I havnt a clue how to properly do it in text here, so bear with me.
(ignore the *'s above and below "y = ...", using them as spacers so it displays correctly.
**** x
y = sigma(7*10^(i-1))
**** i=1
in words, incase that didnt make any sense:
y equals the sum of (7*10^(1-1)), (7*10^(2-1)), ... , (7*10^(x-1))
Mynck
Apr 26 2006, 06:09 PM
Um, I meant without using summations. Basic algebra stuff.
-----Edit-----
Okay, here's an easy way to put it:
You should not have to use any characters that aren't on your keyboard.
Herloss
Apr 26 2006, 06:13 PM
QUOTE(Mynck @ Apr 26 2006, 10:09 PM)
Um, I meant without using summations. Basic algebra stuff.
dang... well I'd love to see someone do it with just algebra.
Mynck
Apr 26 2006, 06:14 PM
I did it... took me 2 or 3 hours, but I did it. Also see edit.
Herloss
Apr 26 2006, 06:15 PM
QUOTE(Mynck @ Apr 26 2006, 10:14 PM)
I did it... took me 2 or 3 hours, but I did it. Also see edit.
wow... screw that!
Spaceman3750
Apr 27 2006, 11:57 AM
LOL, I'll ask my Algebra teacher, he'll know

.
As for the second one, well, you cannot factor it because to factor it, you would have to factor 1, which isn't possible.
Herloss
Apr 27 2006, 12:02 PM
QUOTE(Spaceman3750 @ Apr 27 2006, 03:57 PM)
LOL, I'll ask my Algebra teacher, he'll know

.
As for the second one, well, you cannot factor it because to factor it, you would have to factor 1, which isn't possible.
actually, because 1 squared is one, 1 cubed is 1, etc. you can.
Heh, I just almost tried to say that you could factor x+1 as (rootx + 1)(rootx - 1), but then I realized that it would come out to x-1. lol, I'm done showing my stupidity now.
Spaceman3750
Apr 27 2006, 12:55 PM
» Click to show Spoiler - click again to hide... «
To factor a polynomial, you must find something you can take out of all of the terms. Since you can't take x out of 1, and taking 1 out of 1x would basically have no result, you can't factor it.
Meh, I'm sure that there's some big mathematical definition of why you can't.
Herloss
Apr 27 2006, 01:03 PM
What I meant was that 1 can be factored. Just a nitpick, I didnt mean to start a lengthy argument about it.
There might be, but I'm just too lazy to look stupid stuff like that up. As far as I know, there isnt any theorem that states when an expression can no longer be factored. There is just a point at which it cant, and there isnt anything else to it.
Spaceman3750
Apr 27 2006, 02:49 PM
No, not that, I mean as to why you can't factor that particular polynomial

.
thisoldmage
Apr 27 2006, 03:31 PM
QUOTE(HerLoss @ Apr 27 2006, 01:02 PM)
actually, because 1 squared is one, 1 cubed is 1, etc. you can.
Heh, I just almost tried to say that you could factor x+1 as (rootx + 1)(rootx - 1), but then I realized that it would come out to x-1. lol, I'm done showing my stupidity now.
Its (rootx+
i)(rootx-
i)
Herloss
Apr 27 2006, 03:49 PM
QUOTE(thisoldmage @ Apr 27 2006, 07:30 PM)
no **** sherlock.
thisoldmage
Apr 27 2006, 06:57 PM
QUOTE(HerLoss @ Apr 27 2006, 04:48 PM)
Just, saying.
BTW myscrnnm says "no **** sherlock" way to much, so you sound like him,
Herloss
Apr 27 2006, 07:11 PM
QUOTE(thisoldmage @ Apr 27 2006, 10:56 PM)
Just, saying.
BTW myscrnnm says "no **** sherlock" way to much, so you sound like him,
Well dont.
I dont recall him ever saying that. If he was doing it in my absence he kifed it from me, so I sound like him sounding like me.
Mynck
Apr 27 2006, 09:50 PM
You can just say that x+1 can't be factored. The hard part is proving that not a single polynomial in the whole series can be factored.
lappy512
Apr 27 2006, 09:58 PM
All of them have 1 for the coefficients, therefore they can't be factored any further.
Mynck
Apr 27 2006, 10:06 PM
That's not exactly a proof.
Spaceman3750
Apr 28 2006, 12:34 PM
So I got it right to an extent?
Mynck
Apr 28 2006, 02:59 PM
http://en.wikipedia.org/wiki/Mathematical_proofI want this as a two-column proof. Steps to the proof in one column, and justifications in the other column.
þäßâÝà
Aug 30 2006, 09:35 AM
QUOTE(Mynck @ Apr 28 2006, 03:58 PM)
http://en.wikipedia.org/wiki/Mathematical_proofI want this as a two-column proof. Steps to the proof in one column, and justifications in the other column.
This topic is dead....
Now Tell Me.
What are the sexy prime quintuplets? (if any)
Mynck
Aug 30 2006, 10:26 AM
þäßâÝà
Aug 30 2006, 08:34 PM
QUOTE(Mynck @ Aug 30 2006, 11:25 AM)
I Said
SEXY Prime Quintuplets.
Clue: The Name comes frome the Latin word Sex....
Mynck
Aug 30 2006, 08:36 PM
Fine. Here are your "sexy numbers."
2^256 + 270403961815 + 0, 2, 6, 8, 12
Assuming that you meant "sexy" as a cardinal.
þäßâÝà
Aug 30 2006, 08:52 PM
I have sent Mynck the answer in a message, The rest of you, get to work!
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