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Watts up, Ohms??? Mystery Cache

Hidden : 5/20/2018
Difficulty:
2.5 out of 5
Terrain:
2.5 out of 5

Size: Size:   small (small)

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Geocache Description:


The cache is NOT at the posted coordinates but is within 2km. You will be looking for a peanut butter jar.

Solve the puzzle below to find the location of the cache.

The puzzle was inspired by K2Q2's Grade 9 electricity test. He has confirmed the calculations produce the correct numbers! :-)

The coordinates will be N 43 ab W080 cd. You will need to figure out where the decimal goes. 

Here's a little story to go along with the puzzle:

a  = You are climbing an incredible tree for a coveted D1/T5 cache. You can see the cache, but it's a looooong way up. You're almost there when you slip!! Instead of falling to the ground, your leg catches onto a power line. Ouch! As you hang there you see a sign on the nearby tower that says 5,000V, and 0.0026 amps. You're still alive and eventually get down. Phew!!

How many watts were running through you while you were hanging there?

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b = Your climbing injury left you in the hospital, but the doctor said you will recover. The next day, while you are resting in an uncomfortable hospital bed, your caching friends drop by with a present to cheer you up. It is a new GPSr, since you dropped yours when you were hanging from that wire. This new GPSr takes 9V batteries (strange!!!) and it also has a wattage meter to track power usage. You see that it uses 3.01111 amps of current per hour.  Being good friends, your buddies have already tested it out with a marathon 10-hour caching trip earlier in the day.

What does the reading on the power consumption meter say? (i.e how many watts have been consumed) Round to the nearest whole number.

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c = A few days later you are released from the hospital, and your spouse gives you permission for a short caching excursion for some easy caches!! Yipee!! You decide to do some easy roadside P&Gs in your electric car. It has a 100v battery and draws 75 amps per hour. When you get home you see that your car used 7,500W.

How long did your spouse let you out for?

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d = Oh, some other (bad) news. The doctor couldn't save your leg, and you left the hospital with a new, bionic leg! It has a 60V motor. A week later you are ready for some serious caching. You target a micro cache that some fool has hidden in the woods. It turns out to be a serious bushwhack. Your leg uses 3.7037W to push through those bushes.

How much resistance did those bushes provide?

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Watts that? You don't have a grade 9 whiz to help you? Well, this might be a helpful tool to figure things out:

Additional Hints (Decrypt)

Unatvat. Fubhyq or boivbhf jura lbh trg pybfr

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)