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Physics Mystery Cache

This cache has been archived.

Inishanier: Hi,

There has been no response from the cache owner so I'm Archiving this cache.

It may be possible to reactivate this cache. If you wish to do so please contact me via my profile and quote the Geocaching.com ID for the cache so I know which one you are referring to.

Please be aware that reactivation is not guaranteed and will depend on individual circumstances.

Many thanks,

Graham

Inishanier - Volunteer Reviewer for Geocaching.com (Ireland)

More
Hidden : 10/30/2010
Difficulty:
2.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   small (small)

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Geocache Description:

This cache is not at the published coords. You will have to solve a few simple physics problems to find the location of the cache.

The cache is at N 54 A.B W 006 C.D

Finding A
Nerve impulses typically travel through a geocacher at about 95 meters per second. Imagine dropping an ammo box cache from 75 centimetres onto your big toe. How long does it take from the time you drop the cache until the signal gets to your brain. Assume you are 1.8 meters tall and the acceleration due to gravity is 9.8 meters per seconds per second. (You are encouraged to verify the results experimentally if you like...). Multiply your answer in seconds by 100 and ignore all decimal places call this 'A'.

Finding B
You are making your way to a cache when you come across a river and your GPS is telling you that the GZ is directly opposite you on the other bank. Being a good swimmer you decide to swim across the river straight for the other bank, letting the current drag you which ever way it will. Assume you can swim at 1.50 meters per second. The current in the river is 1.00 meters per second and the river is 11.1 meters wide. How far downstream from the GZ will you end up? Multiply your answer in meters by 100 and call this 'B'.

Finding C
You stand at rest on an ice covered lake and throw a cache (mass equal to 0.15 kilograms) at a speed of 30 meters per second. Assuming your mass is 50 kilograms, and if you neglect friction, what recoil velocity will you have? Multiple your answer in meters per second by 100 and call this 'C'.

Finding D
An urban cache is hidden at the top of a brick building which is 21.15 meters high in winter. If the coefficient of linear expansion of brick is 0.00001 per meter degree Kelvin, how much does the height of the cache change between the winter with a temperature of 27 degrees Fahrenheit, to the middle of summer when it's 94 degrees Fahrenheit? Multiply your answer in millimetres by 100 and ignore all decimal places and call this 'D'.

Check sum - When you add up all the individual digits of A,B,C and D the total is 47.

Additional Hints (Decrypt)

Oruvaq gur boivbhf.

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)