14.5 A cube of wood having an edge dimension of 19.4 cm and a density of 652 kg/m³ floats on water.(a) What is the distance from the horizontal top surface of the cube to the water level?(b) What mass of lead should be placed on the cube so that the top of the cube will be just level with thewater surface? The buoyant force supports the weight of both blocks, so we haveB = F₁ + Mg,Fgwhere M is the mass of the lead. The buoyant force of the displaced volume of water is equal to the buoyantforce of the submerged wood plus the weight of the lead. Using the expression for buoyant force pVg we havethe following equation.Pwater³g = PwoodL³g + MgSolving for the mass of the lead, we haveM = (Pwater - Pwood)30X= The correct answer is not zero. kg/m³)The correct answer is not zero. mm) ³=0Xkg.

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Description: 14.5 A cube of wood having an edge dimension of 19.4 cm and a density of 652 kg/m³ floats on water.(a) What is the distance from the horizontal top surface of the cube to the water level?(b) What mass of lead should be placed on the cube so that the

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A cube of wood having an edge dimension of 19.4 cm and a density of 652 kg/m³ floats on water. (a) What is the distance from the horizontal top surface of the cube to the water level? (b) What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface?

A cube of wood having an edge dimension of 19.4 cm and a density of 652 kg/m³ floats on water. (a) What is the distance from the horizontal top surface of the cube to the water level? (b) What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 27P

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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14.5

A cube of wood having an edge dimension of 19.4 cm and a density of 652 kg/m³ floats on water.
(a) What is the distance from the horizontal top surface of the cube to the water level?
(b) What mass of lead should be placed on the cube so that the top of the cube will be just level with the
water surface?

The buoyant force supports the weight of both blocks, so we have
B = F₁ + Mg,
Fg
where M is the mass of the lead. The buoyant force of the displaced volume of water is equal to the buoyant
force of the submerged wood plus the weight of the lead. Using the expression for buoyant force pVg we have
the following equation.
Pwater³g = PwoodL³g + Mg
Solving for the mass of the lead, we have
M = (Pwater - Pwood)
3
0
X
= The correct answer is not zero. kg/m³)
The correct answer is not zero. m
m) ³
=
0
X
kg.

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