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A ship, carrying fresh water to a desert island in theCaribbean, has a horizontal cross-sectional area of 2240 $\mathrm{m}^{2}$at the waterline. When unloaded, the ship rises 8.50 $\mathrm{m}$higher in the sea. How many cubic meters of water wasdelivered?

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$1.95 \times 10^{7} k g$$1.95 \times 10^{4} m^{3}$$1.95 \times 10^{7} L$

Physics 101 Mechanics

Chapter 13

Fluids

Fluid Mechanics

University of Michigan - Ann Arbor

University of Washington

Hope College

University of Sheffield

Lectures

03:45

In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids.

09:49

A fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases and plasmas. Fluids display properties such as flow, pressure, and tension, which can be described with a fluid model. For example, liquids form a surface which exerts a force on other objects in contact with it, and is the basis for the forces of capillarity and cohesion. Fluids are a continuum (or "continuous" in some sense) which means that they cannot be strictly separated into separate pieces. However, there are theoretical limits to the divisibility of fluids. Fluids are in contrast to solids, which are able to sustain a shear stress with no tendency to continue deforming.

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for the ship to be floating. This means that the net brilliant force must be equal to the volume that is displaced. Volume of water displaced times, the density of seawater, times the acceleration due to gravity. We know that this is going to equal the mass of the fresh water. We can relate this massive the freshwater times G, the gravity's cancel out. So we can know that the mass of the fresh water is going to be equal to 2240 meters squared times 8.50 meters times the density of seawater, 1025 kilograms per cubic meter. And so the massive. The fresh water would be equal to 1.95 times 10 to the seventh kilograms. Ah, the volume of the fresh water would simply be equal to the mass of the fresh water divided by the density of fresh water. So this would be 1.95 times 10 to the seventh kilograms and then this will be divided by 10 to the third kilograms per cubic meter. And so this is equaling 1.95 times 10 to the fourth cubic meters or we can say that this is equaling 1.95 times, 10 to the seventh Leaders, given that there's a 1000 leaders for every cubic meter. So either of these answers are completely fine. That is the ah, and this answers. That is the end of the solution. Thank you for watching.

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