Nomic: Wiki Edition --- Finished (More or Less)

[Deimos27]

VOTE: Aye 342
Can't be assed to go read the original text of 306 so I'll hold on 341 for a quick sec

[StrangerCoug]

VOTE: Yea 343

[Deimos27]

Oh wait.
343 is what I meant to Aye
Oh whatever
VOTE: Aye 343
I'm sure 342 is fine too

[Jake The Wolfie]

342 proposes that we steal 10,000 points from you

[StrangerCoug]

Let's try these questions for size. Same rules apply as with Ircher's and Deimos27's question, and these are all math and science questions. For questions with math involved, you must show your work to receive any credit.

1. A 1,600 kg car is traveling due north at 60 km/h when it collides perfectly inelastically with an 1,800 kg car traveling due east at 50 km/h. For 10 KP each:
   1. What is the total momentum of both cars?
      
   2. What is the velocity of both cars immediately following the collision?
      
   3. What is the total kinetic energy lost by both cars in the collision?
2. Take the chemical equation Na₂CO₃ + HCl → NaCl + H₂O + CO₂. For 10 KP each:
   1. Balance the above equation.
      
   2. Give the names of both reactants and of all three products.
      
   3. This is a two-stage reaction. What type of reaction is each stage?
3. I want to purchase a car that costs $25,000. The sales tax is 7.5% added to the price of the car. The title, registration, and other fees cost me $500. I make a down payment of 10% of the price of the car (before taxes and fees) and take out auto loan with a term of 60 months at 5% simple interest for the balance, with the tax and fees bundled into the loan. Loan payments are due monthly. For 10 KP each, to the nearest cent:
   1. How much will the auto loan be for?
      
   2. How much is each monthly payment?
      
   3. What is the total interest I will pay on the loan?
      
   4. How much would I save over the life of the loan if, instead of the taxes and fees being bundled into the loan, I were required to pay the taxes and fees upfront with my 10% down payment (all else being equal)?

[Jake The Wolfie]

Welcome to Trivial Pursuit, staring Ircher Manfred, Deimos27, and Coug S.

[Ircher]

Take the chemical equation Na₂CO₃ + HCl → NaCl + H₂O + CO₂. For 10 KP each:
a)Balance the above equation.
b)Give the names of both reactants and of all three products.
c)This is a two-stage reaction. What type of reaction is each stage?

The last chemistry class I took was in high school. Still, I'll give the first two parts a try.

a. We want the same number of each molecule on both sides, and ideally, we want integer numbers here. So with that in mind,
we have 2 hydrogens on the right but only one on the left, so we will want at least 2 HCl for every H₂O we have. We also need twice as many NaCl as we have Na₂CO₃ so the quantities of Na are equal. With those constraints and some guessing-and-checking, I come to the following equation:

2 Na₂CO₃ + 4 HCl yields 4 NaCl + 2 H₂O + 2 CO₂

b. Disodium carbon trioxide + Hydrocloride yields Sodium Chloride + Dihydrogen Monoxide + Carbon Dioxide
(Okay, I actually don't know what Na₂CO₃ is, so hopefully this isn't too far off...)

[StrangerCoug]

a. We want the same number of each molecule on both sides, and ideally, we want integer numbers here. So with that in mind,
we have 2 hydrogens on the right but only one on the left, so we will want at least 2 HCl for every H₂O we have. We also need twice as many NaCl as we have Na₂CO₃ so the quantities of Na are equal. With those constraints and some guessing-and-checking, I come to the following equation:

2 Na₂CO₃ + 4 HCl yields 4 NaCl + 2 H₂O + 2 CO₂

I'll give full credit.

Give 10 KP to Ircher

. If you wanted to simplify the balanced equation, you could write Na₂CO₃ + 2 HCl → 2 NaCl + H₂O + CO₂.

b. Disodium carbon trioxide + Hydrocloride yields Sodium Chloride + Dihydrogen Monoxide + Carbon Dioxide

That is incorrect.

[Deimos27]

Oh yeah I think my 8 hours has gone by surely
Ircher my second guess is Leo Tolstoy

[Ircher]

That is unfortunately incorrect as well. I will post the answer in an hour and a half unless someone else gets it before then.

[Deimos27]

1. A 1,600 kg car is traveling due north at 60 km/h when it collides perfectly inelastically with an 1,800 kg car traveling due east at 50 km/h. For 10 KP each:
   1. What is the total momentum of both cars?
      
   2. What is the velocity of both cars immediately following the collision?
      
   3. What is the total kinetic energy lost by both cars in the collision?

a)

m1 = 1600kg, m2 = 1800kg
v1 = 60km/h ≈ 16.67m/s, v2 = 50km/h ≈ 13.89m/s
momentum is just mass times velocity so for total momentum we have
p = m1v1 + m2v2 = (1600kg)(16.67m/s)+(1800kg)(13.89m/s)
p ≈ 51 700 kgm/s

b)

perfectly inelastic collision so we know they'll stick to each other. From conservation of momentum we have

for eastward (x) component of velocity:
m2v2 = (m1+m2)v
v = (25002kgm/s)/(3400kg)
v ≈ 7.354m/s

for northwards (y) component of velocity:
m1v1 = (m1+m2)v
v = (26672kgm/s)(3400kg)
v ≈ 7.845m/s

So for total velocity we have
√(7.354^2 + 7.845^2) ≈ 10.8m/s

The direction of the velocity will be given by
tan(theta) = 7.845/7.354
theta ≈ arctan(1.0668)
theta ≈ 46.9° north of east

c in a bit

[Deimos27]

initial kinetic energy for eastward car:
(1/2)m2(v2)^2 ≈ 173 639 J
initial kinetic energy for northward car:
(1/2)m1(v1)^2 ≈ 222 311 J
-> total initial Ek ≈ 395 950 J

total final Ek = (1/2)(m1 + m2)(final velocity)^2
= (1/2)(3400kg)(10.8m/s)^2
Ek ≈ 198 288 J

So ∆Ek ≈ 198 288 J - 395 950 J ≈ -198kJ

[Deimos27]

I hope there were no mistakes cause that was ass
war flashbacks to physics finals last may

[Deimos27]

I want to purchase a car that costs $25,000. The sales tax is 7.5% added to the price of the car. The title, registration, and other fees cost me $500. I make a down payment of 10% of the price of the car (before taxes and fees) and take out auto loan with a term of 60 months at 5% simple interest for the balance, with the tax and fees bundled into the loan. Loan payments are due monthly. For 10 KP each, to the nearest cent:

1. How much will the auto loan be for?
   
2. How much is each monthly payment?
   
3. What is the total interest I will pay on the loan?
   
4. How much would I save over the life of the loan if, instead of the taxes and fees being bundled into the loan, I were required to pay the taxes and fees upfront with my 10% down payment (all else being equal)?

Yuck sales tax, imagine having to deal with something like that
Anywayyy

a)

Total cost = 25 000 × 1.075 + 500
= $27 375
Our down payment is for 10% before taxes and fees so 10% of the $25 000 so $2500. So our loan covers the remaining
$27 375 - $2500 = $24 875

b)

$24875 / 60 months ≈ $414.58 excluding interest

c)

I have suddenly realised that this question is also ass and I will go back to doing my

actual

econ problem set (due for Tuesday) rather than messing with finances calculations we haven't been taught yet

[StrangerCoug]

You forgot the division sign when calculating the northbound component of the velocity of part b, but everything else is a good approximation of what I get.

Give 49 KP to Deimos27.

The second two parts of the chemistry problem and the second two parts of the auto loan problem are still up for grabs.

[StrangerCoug]

I realize 3b might have been a bit unclear whether the monthly payments were inclusive or exclusive of interest, so I'll give

the 1 KP I withheld from Deimos27

actually, let's up it to a full 10 KP to whoever can tell me what the monthly payment is inclusive of interest.

[Deimos27]

I understand being unable to guess at the titles but can people not come up with any other guesses of ancient Greek or Roman authors?

[Ircher]

Exchange N$10 for 500KP

Ok my questions have the same ruleset as Ircher's. The theme is ancient Greek and Roman literature.

1. "Divine command theory" grounds morals in the word of a deity (i.e. it answers the question "what is good?" with "that which [deity] commands"). A famous dilemma for divine command theory can be paraphrased roughly as follows: is x good because the gods judge that it is good, or do the gods judge that x is good because it is good?

10KP for the name of the author of the ancient work in which this dilemma first appeared. 10KP for the title of the work. 10KP if you can explain why this might be considered a dilemma for divine command theory.

2. "Gallia est omnis divisa in partes tres..." is how one famous ancient work begins in its original language.

10KP for the name of the author. 10KP for the title of the work (you may give it in English). 10KP for an approximate translation of the quoted phrase.

Okay, since I have nothing to lose, my guesses for authors are Aristotle for #1 and Plato for #2.

[Deimos27]

Oh man you were both so close in different ways, I'm sorry but those are incorrect

Give Ircher 1KP

[Ircher]

Question of the Day #2
Category: Literature
Question: Which well-known Russian author's works include "Eugene Onegin", "The Belkin Tales", "The Queen of Spades", and "I Loved You"? (Again, spelling counts; however, I will accept two forms for the author's name. You must provide both a first and last name.)

Give Deimos27 2 Knowledge Points

for providing two reasonable but incorrect guesses for this question. The correct answer was

Alexander Pushkin

. I would also have accepted the spelling Aleksandr Pushkin. Pushkin is considered one of Russia's greatest poet and had a significant impact on many of Russia's later writers and poets. (Also, despite being known for his poetry, Pushkin wrote a lot of prose as well. Most of the titles I named in the question were prose.)

Question of the Day #3

Category: Mathematics
Question: What are

two

different

ways to find the derivative with respect to x of f(x)^g(x) where $f$ and $g$ are arbitrary differentiable functions? (To be clear, I am looking for the names of general methods; you are free to give an example, but simply giving an example without specifying the method used is insufficient. An example of what I mean by method is that if you were asked to find (dy / dx) of f(x)g(x), one method would be to use the product rule.) Also, note that I am asking for two

different

methods. They must be substantively different and not simply a different way of using the same method.)

If you get one of them, you will get 7 KP. You will get the remaining 8 KP if you get the other one. There may be more answers than the two that I am thinking of; I will look into any "novel" ideas.

[Ircher]

337 expires. M005 fails by extension. 342 and 343 are accepted. Prodding lendunistus (2d 6h).

[Deimos27]

So the real tragedy is that Euthyphro would have been correct for the title of the 1st work and Plato would have been correct for the author, but Euthyphro was only guessed for the author and Plato only for the 2nd work.

The 2nd work is Commentarii de Bello Gallico (commentaries on the Gallic War) by Julius Caesar.

[Deimos27]

New questions when I wake up hopefully

[lendunistus]

i'm confused

as for currency, all I can think of is creating a waifu token or something

i'll take a look later ig

[Ircher]

i'm confused

as for currency, all I can think of is creating a waifu token or something

i'll take a look later ig

We don't have many proposals on the table. Also, you can do whatever you want with your currency.