A certain lock for raising.
A certain lock for raising.
Last edited by bennyJ; 04-23-2018 at 01:49 PM.
The barrels will not float! They are denser than the water. That may change your calculations considerably.
My initial approach would be to find how many cubic meters of water must be added to raise the level by 10 cm. This would be 0.1 m times the area of the water surface. Then you need to add enough barrels to make up that volume.
There may be some fine-tuning required to correct this quick approach. As barrels are removed from the barge, it will float higher, displacing less water (so that more barrels might be needed, but also raising the deck so fewer would be needed!). Either you can think about whether these effects would cancel each other out, or make a more detailed equation expressing the relationship of all the variables. You can easily find how much of the barge is submerged initially, thus determining the actual depth of the water, and so on. I haven't gone through the details.
Last edited by Subhotosh Khan; 02-25-2018 at 01:46 PM.
“... mathematics is only the art of saying the same thing in different words” - B. Russell
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