(a) Explanation Given information: The density of the liquid is ρ l , the density of the cubical block is ρ b , the length of the side of the cubical block is L and the cubical block floats in the liquid. ( ρ l > ρ b ) . Formula to calculate buoyant force acting on the block is, W b = ρ l V s g W b is the buoyant force acting on the block. V s is the volume of the liquid displaced by the submerged portion of the block. g is the acceleration due to gravity. Formula to calculate the weight of the block is, W = ρ b V b g W is the weight of the block. V b is the volume of the block. Apply Archimedes’s principle, to combine the above two equations. ρ l V s g = ρ b V b g V s V b = ρ b ρ l (b) To determine The height of the block in the water when the water surface is at the top of the block. (c) To determine The height of the iron block in water,when the liquid is mercury.

University Physics with Modern Physics, Books a la Carte Plus Mastering Physics with eText -- Access Card Package (14th Edition)

14th Edition

ISBN: 9780133983623

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.

Question

Chapter 12, Problem 12.75P

(a)

To determine

The fraction of the block’s volume above the surface of the liquid.

(b)

To determine

The height of the block in the water when the water surface is at the top of the block.

(c)

To determine

The height of the iron block in water,when the liquid is mercury.

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Chapter 12, Problem 12.74P

Chapter 12, Problem 12.76P

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Chapter 12 Solutions

University Physics with Modern Physics, Books a la Carte Plus Mastering Physics with eText -- Access Card Package (14th Edition)

Ch. 12.1 - Rank the following objects in order from highest...Ch. 12.2 - Mercury is less dense at high temperatures than at...Ch. 12.3 - You place a container of seawater on a scale and...Ch. 12.4 - A maintenance crew is working on a section of a...Ch. 12.5 - Which is the most accurate statement of Bernoullis...Ch. 12.6 - How much more thumb pressure must a nurse use to...Ch. 12 - A cube of oak wood with very smooth faces normally...Ch. 12 - A rubber hose is attached to a funnel, and the...Ch. 12 - Comparing Example 12.1 (Section 12.1) and Example...Ch. 12 - Prob. 12.4DQ

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The fraction of the block’s volume above the surface of the liquid.

Solution Summary: The author explains how to determine the tion of the block's volume above the surface of a liquid.

Concept explainers

The fraction of the block’s volume above the surface of the liquid.

The height of the block in the water when the water surface is at the top of the block.

The height of the iron block in water,when the liquid is mercury.

Want to see the full answer?

Chapter 12 Solutions