A.) While I worked as a check-out clerk in college, I noticed that there were in

Question

A.) While I worked as a check-out clerk in college, I noticed that there were indentations on the tile-concrete floor in the aisles where people would walk through during check-out. After investigating this further I discovered it was right where the people would stand to pay for their groceries. Being that most of the customers were female and it was a very affluent area, where many were dressed in heels, I made this conclusion--It was the heels of the ladies causing the depressions. Your task is to confirm or reject this hypothesis by comparing an average woman's pressure on one high heel to that of an average elephant standing on one foot. If the woman's is greater let's say my hypothesis is valid.

B.)A barge filled with scrap iron is in the Soo Locks in Northern Michigan. If the iron is thrown overboard, does the water level at the side of the lock rise, fall, or remain unchanged? Explain your answer in terms of Archimedes Principle

C.)Wharves are made with pilings that permit the free passage of water. Why would a solid-walled wharf be disadvantageous to ships attempting to pull alongside?

Explanation / Answer

A)

You also need a device to measure pressure that will work for both groups. And you need a random sample of both high heeled women and elephants. Perform an experiment, measure the results, and use a 2 sample t test assuming different variances.

B)

Iron has a much greater density than water. So when it is on the barge, it displaces its own weight of water by causing the barge to sink lower in the water.
But when it is thrown overboard, its weight it immaterial, the iron can only displace it own volume of water.
Because of the difference in densities between iron and water, the weight of water displaced is only the weight of the water volume the iron displaces, not the weight of the iron.
Thus, the water level in the dock will fall.

C)

Water pressure between the hulls of the ships and the solid wall would reduce with faster-moving water; the two could collide. A wharf that allows free water passage allows the pressure to decrease, thus a smooth landing for the ship.

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