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(I) What fraction of a piece of iron will be submerged when it floats in mercury?

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Physics 101 Mechanics

Chapter 13

Fluids

Fluid Mechanics

Hope College

University of Sheffield

University of Winnipeg

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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So what fraction of on iron of the irons Volume will be submerged in pure mercury. So we can say that the brilliant force is gonna be equal to the mass of the iron times G, the acceleration due to gravity. And so we can say that the brilliant force is going to be equal to the density of mercury times the acceleration of gravity times the volume that is submerged. And then this would be equal to the mass of the iron, which should be the density of the iron times, the acceleration due to gravity times the total volume of the iron. So in this case, um, we can say that the volume submerged, uh, divided by the total volume is gonna be equal to the density of iron divided by the density of trickery. Given that G cancels out. So this is going to be equal to 7800 kilograms per cubic meter, and then this will be divided by, uh, 13,600 kilograms per cubic meter, and this is giving us 0.57 so 57% of the total volume will be submerged. So this would be the final answer. That is the end of the solution. Thank you for watching

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