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Physics Principles with Applications
Found in: Page 260
Physics Principles with Applications

Physics Principles with Applications

Book edition 7th
Author(s) Douglas C. Giancoli
Pages 978 pages
ISBN 978-0321625922

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Short Answer

You hold a piece of wood in one hand and a piece of iron in the other. Both pieces have the same volume, and you hold them fully under water at the same depth. At the moment you let go of them, which one experiences the greater buoyancy force?

(a) The piece of wood.

(b) The piece of iron.

(c) They experience the same buoyancy force.

(d) More information is needed.

The correct option is (c) they experience the same buoyancy force.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Understanding the buoyancy force

The buoyancy force can be described as a force that acts on a body in the vertically upward direction when the body is partially or fully immersed in a liquid. Buoyancy force depends on the density of the liquid, the volume of the body that enters into the liquid, and gravitational acceleration.

Step 2: Evaluating the buoyancy force

The buoyancy force on the body is given by the expression,

Fb = ρ1 V1g

Here, Fb is the buoyancy force, ρ1 is the density of the liquid, V1 is the volume of the body immersed in the liquid and g is the gravitational acceleration.

The buoyancy force is independent of the mass and the density of the body only depends on the density of the liquid, the body’s volume inside the liquid, and gravitational acceleration. Since both bodies, iron, and wood, have equal volume and lie at the same depth under the same water, both bodies (iron and wood) experience the same buoyancy force.

Thus, from the above analysis, option (c) is correct.

Most popular questions for Physics Textbooks

A viscometer consists of two concentric cylinders, \({\bf{10}}{\bf{.20}}\;{\bf{cm}}\) and \({\bf{10}}{\bf{.60}}\;{\bf{cm}}\)in diameter. A liquid fills the space between them to a depth of \({\bf{12}}{\bf{.0}}\;{\bf{cm}}\). The outer cylinder is fixed, and a torque of \({\bf{0}}{\bf{.024}}\;{\bf{m}} \cdot {\bf{N}}\) keeps the inner cylinder turning at a steady rotational speed of \({\bf{57}}\;{\bf{rev/min}}\). What is the viscosity of the liquid?

What diameter must a \({\bf{15}}{\bf{.5}}\;{\bf{m}}\)-long air duct have if the ventilation and heating system is to replenish the air in a \({\bf{8}}{\bf{.0}}\;{\bf{m \times 14}}{\bf{.0}}\;{\bf{m \times 4}}{\bf{.0}}\;{\bf{m}}\) room every \({\bf{15}}{\bf{.0}}\;{\bf{min}}\)? Assume the pump can exert a gauge pressure of \({\bf{0}}{\bf{.710 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{atm}}\).

(III) The Earth is not a uniform sphere, but has regions of varying density. Consider a simple model of the Earth divided into three regions—inner core, outer core, and mantle. Each region is taken to have a unique constant density (the average density of that region in the real Earth):

(a) Use this model to predict the average density of the entire Earth. (b) If the radius of the Earth is 6380 km and its mass is 5.98 × 1024Kg, determine the actual average density of the Earth and compare it (as a percent difference) with the one you determined in (a).

Hot air is less dense than cold air. Could a hot-air balloon be flown on the Moon, where there is no atmosphere?

(a) No, there is no cold air to displace, so no buoyancy force would exist.

(b) Yes, warm air always rises, especially in a weak gravitational field like that of the Moon.

(c) Yes, but the balloon would have to be filled with helium instead of hot air.

If cholesterol buildup reduces the diameter of an artery by 25%, by what % will the blood flow rate be reduced, assuming the same pressure difference?
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