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ManicPIxie
- 14
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Homework Statement
The Plimsoll line is a line marked on the side all ships that effectively indicates the safe maximum load the ship can carry in that type of water at that temperature.You have been asked to stand on the dock and collect the tickets of the passengers boarding a cruise ship and notice the Plimsoll line is 1cm above the water. The crew and all the baggage are already aboard. Over the next two hours 2205 passengers of average mass 75.0kg board the ship. At the end of this time you notice that the surface of the water is now at the Plimsoll line. Assume the ship is in a fresh water dock while it is being loaded.a) What is the horizontal cross-sectional area of the ship at the level of the Plimsoll line?b) When the ship leaves the river and moves out into the sea will the water level remain at the height of the Plimsoll line, will it rise above the line or will it drop below the line? Explain your answer.c) If the ship no longer sits with its Plimsoll line at sea level when it is in the sea what is the distance between the line and sea level? The Plimsoll line is 10m above the bottom of the ship.
Homework Equations
P = F/A
F = mg - density(water) x Vdisplaced x g
P + density x gravity x height + 1/2 density x v2
The Attempt at a Solution
I know that for (b) I need to used Bernoulli's equation, however for (a) I am having trouble finding the force and pressure to determine the area.
I'm not sure where to start, so a poke in the right direction would be great.
Thank you