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Back to School! Redux Mystery Cache

Difficulty:
4 out of 5
Terrain:
2.5 out of 5

Size: Size:   regular (regular)

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Geocache Description:

The cache now has a new name to go with it's new location. I thought it needed a fresh start.

Just like in school, this puzzle cache will have you using your readin', 'ritin', and 'rithmatic. The posted coordinates are not for the cache itself, but are for a nearby bastion of learning. In order to locate the cache, you will need to solve for the location of a monument that will allow you to decrypt the physical location of the cache. The cache is approximately 0.6 mi from the posted coordinates.

To obtain the coordinates of the monument, you will need to make use of your mathematical skills by solving two straightforward problems. It will help you to be mindful of significant figures when attempting these problems.

Solve the following problem for the N coordinate:

Dr. Reed Ox, a chemist of great potential, wants to prepare 5 L of a hydrochloric acid (HCl(aq)) solution at a concentration of 0.7879382 M. How much 10 M HCl(aq) would he need to dilute to prepare the solution at the proper concentration? You will need the following equation: M1V1 = M2V2. The North coordinate is the first 7 numerical digits of the correct answer.

Time-of-flight mass spectrometry, a method for analyzing the mass-to-charge ratio of ions, is based upon the simple physics of kinetic energy. Solve the following problem for the W coordinate:

What would be the kinetic energy of a 16 kg bowling ball traveling at a speed of 997.4031 m/sec? You will need the following equation: KE = 1/2 mv2. The West coordinate is the first 7 numerical digits of the correct answer.

At the coordinates above, you will find a stone monument relating the story of a little girl. You will need to use the monument to answer the following questions, which will give you the North and West coordinates, respectively. Spell your answers down, alongside the numerical legend.

Question 1: What is the girl's name?

3 ___
7 ___
3 ___
7 ___
9 ___
8 ___
5 ___
7 ___
4 ___
7 ___
0 ___

The first coordinate is N SH GN.NOA

Question 2: Where, according to the stone, was the girl located when legendary events transpired?

8 ___
2 ___
3 ___
4 ___
5 ___
6 ___
7 ___
5 ___
9 ___
0 ___
7 ___
8 ___
3 ___
1 ___
5 ___

The second coordinate is W PO LI.OPN

The cache is a .50 cal ammo can. Please ensure that it is well hidden. GPS reception can be a little spotty at the cache location, but I've triangulated the coords. Spend some time searching, or look at the hint. I think the location is pretty self-evident once you're in the neighborhood.

I've included a nice FTF prize for this one, so enjoy!

Additional Hints (Decrypt)

Va n qrnq fghzc

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)