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Boat Element Bother (Posted on 2022-01-24) Difficulty: 1 of 5
On a boat, there is a 15-inch brick of gold and a 15-inch brick of iron.
If both of them are dropped into the water, which one will make the water level higher?

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Thoughts & Solution? | Comment 1 of 14
Not sure what a "15-inch" brick is, but since the two bricks (gold, iron) seen to be that dimension, I will assume the bricks are the same volume.

Since the bricks start in the boat, this causes the boat to displace a volume of water equal to the weight of the boat + bricks. 

When the bricks are thrown into the water, two things happen (simultaneously, but I'll treat them as two events:

1) The boat rises because it no longer needs to displace the weight of the bricks. The mean level of the water goes down.  
2) The bricks displace water due to their volume, which is the same for both bricks.  The level of the water goes up.

for 1) the effect of the gold brick is a larger drop, because gold is denser than iron.  Since for 2) both bricks have the same volume, the water level will rise the same for both.  

The net result will be that for each brick thrown in, the water level will go DOWN (not rise), but it will go down more for the gold brick vs. the iron brick.

  Posted by Kenny M on 2022-01-24 07:32:18
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