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Respostas, Exercícios de Física

respostas do volume 1 da 8ª edição do Halliday em inglês

Tipologia: Exercícios

2013

Compartilhado em 26/03/2013

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INSTRUCTOR’S SOLUTIONS
MANUAL, VOLUMES 1, 2, 3 AND 4
Sen-Ben Liao
Lawrence Livermore National Laboratory
to accompany
FUNDAMENTALS
OF PHYSICS
EIGHTH EDITION
David Halliday
University of Pittsburgh
Robert Resnick
Rensselaer Polytechnic Institute
Jearl Walker
Cleveland State University
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INSTRUCTOR’S SOLUTIONS

MANUAL, VOLUMES 1, 2, 3 AND 4

Sen-Ben Liao

Lawrence Livermore National Laboratory

to accompany

FUNDAMENTALS

OF PHYSICS

EIGHTH EDITION

David Halliday University of Pittsburgh

Robert Resnick Rensselaer Polytechnic Institute

Jearl Walker Cleveland State University

Copyright  2007 John Wiley & Sons, Inc. All rights reserved.

Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or instructional purposes only to students enrolled in courses for which the textbook has been adopted. Any other reproduction or translation of this work beyond that permitted by Sections 107 or 108 of the 1976 United States Copyright Act without the permission of the copyright owner is unlawful. Requests for permission or further information should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030-5774.

To order books or for customer service, please call 1-800-CALL-WILEY (225-5945).

ISBN-10 0-470-11404-

Printed in the United States of America.

1 0 9 8 7 6 5 4 3 2 1

Printed and bound by Odyssey Press, Inc.

  • Chapter
  1. The metric prefixes (micro, pico, nano, …) are given for ready reference on the inside front cover of the textbook (see also Table 1–2).

(a) Since 1 km = 1 × 103 m and 1 m = 1 × 106 μm,

( ) ( )

1km = 10 m^3 = 10 m^3 106 μm m = 109 μm.

The given measurement is 1.0 km (two significant figures), which implies our result

should be written as 1.0 × 109 μm.

(b) We calculate the number of microns in 1 centimeter. Since 1 cm = 10−^2 m,

( ) ( )

1cm = 10 −^2 m = 10 −^2 m 106 μm m = 104 μm.

We conclude that the fraction of one centimeter equal to 1.0 μm is 1.0 × 10 −^4.

(c) Since 1 yd = (3 ft)(0.3048 m/ft) = 0.9144 m,

1.0 yd = (^) ( 0.91m (^) ) (^) ( 10 6 μm m (^) )= 9.1 × 105 μm.

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(b) and that distance in chains to be

( 4.0 furlongs^ ) ( 201.168 m furlong^ ) 40 chains. 20.117 m chain

d = =

  1. Using the given conversion factors, we find

(a) the distance d in rods to be

( 4.0 furlongs^ ) ( 201.168 m furlong) 4.0 furlongs = 160 rods, 5.0292 m rod

d = =

  1. The conversion factors 1 gry = 1/10 line, 1 line=1/12 inch and 1 point = 1/72 inch

imply that

1 gry = (1/10)(1/12)(72 points) = 0.60 point.

Thus, 1 gry^2 = (0.60 point)^2 = 0.36 point^2 , which means that 0.50 gry = 0.18 point.^2

  1. From Figure 1.6, we see that 212 S is equivalent to 258 W and 212 – 32 = 180 S is equivalent to 216 – 60 = 156 Z. The information allows us to convert S to W or Z.

(a) In units of W, we have

( )

258 W

50.0 S 50.0 S 60.8 W

212 S

(b) In units of Z, we have

( )

156 Z

50.0 S 50.0 S 43.3 Z

180 S

2 2

V r z π =

where z is the ice thickness. Since there are 10^3 m in 1 km and 10^2 cm in 1 m, we have

( )

3 2 2000 km 10 m^ 10 cm 2000 105 cm. 1km 1m

r

= ¨ ¸ ¨ ¸= ×

In these units, the thickness becomes

( )

2 3000 m 3000 m 10 cm 3000 102 cm 1m

z

= = ¨ ¸= ×

which yields (^) ( ) ( ) 5 2 2 22 3 2000 10 cm 3000 10 cm 1.9 10 cm. 2

V

π = × × = ×

  1. The volume of ice is given by the product of the semicircular surface area and the thickness. The area of the semicircle is A = π r^2 /2, where r is the radius. Therefore, the volume is

1 acre ft = (43,560 ft ) ft = 43,560 ft⋅ 2 ⋅^3

Since 2 in. = (1/6) ft, the volume of water that fell during the storm is

V = (26 km )(1/6 ft)^2 = (26 km )(3281ft/km) (1/6 ft)^2 2 = 4.66 × 10 7 ft.^3

Thus,

V =

×

× ⋅

= × ⋅

7 4

ft ft acre ft

acre ft.

3 3

  1. We use the conversion factors found in Appendix D.
  1. A day is equivalent to 86400 seconds and a meter is equivalent to a million micrometers, so

3 7 10 14 86400

m m m day s day

m s

b gc h b gb g

μ = μ

  1. The metric prefixes (micro ( μ), pico, nano, …) are given for ready reference on the inside front cover of the textbook (also, Table 1–2).

(a) (^) ( 6 ) 100 y 365 day 24 h 60 min 1 century 10 century 52.6 min. 1 century 1 y 1 day 1 h

μ −^

(b) The percent difference is therefore

52.6 min 50 min 4.9%. 52.6 min

  1. (a) Presuming that a French decimal day is equivalent to a regular day, then the ratio of weeks is simply 10/7 or (to 3 significant figures) 1.43.

(b) In a regular day, there are 86400 seconds, but in the French system described in the problem, there would be 10^5 seconds. The ratio is therefore 0.864.

  1. The time on any of these clocks is a straight-line function of that on another, with slopes ≠ 1 and y -intercepts ≠ 0. From the data in the figure we deduce

2 594 33 662 ,. C (^) 7 B (^) 7 B (^) 40 A 5 t = t + t = t

These are used in obtaining the following results.

(a) We find

( )

495 s B B (^) 40 A A t ′^ − t = t ′ − t =

when t ' AtA = 600 s.

(b) We obtain t (^) C ′ − t (^) C = t ′ − B tB = =

b g b^495 g 141 s.

(c) Clock B reads tB = (33/40)(400) − (662/5) ≈ 198 s when clock A reads tA = 400 s.

(d) From tC = 15 = (2/7) tB + (594/7), we get tB ≈ −245 s.

  1. Since a change of longitude equal to 360 ° corresponds to a 24 hour change, then one expects to change longitude by 360 / 24° = 15 ° before resetting one's watch by 1.0 h.