All Chapters Included
,Fundamentals of Physics 10th Edition By Resnick, Walker and Halliday Chapters 1 - 44
Chapter 1
1. Various geometric formulas are given in Appendix E.
(a) Expressing the radius of the Earth as
R 6.37 106 m103 km m 6.37 103 km,
its circumference is s 2 R 2 (6.37 103 km) 4.00104 km.
(b) The surface area of Earth is A 4 R2 4 6.37 103 km 5.10 108 km2.
2
4 4
6.37 103 km
3
(c) The volume of Earth is V R3 1.08 1012 km3 .
3 3
2. The conversion factors are: 1 gry 1/10 line , 1 line 1/12 inch and 1 point = 1/72
inch. The factors imply that
1 gry = (1/10)(1/12)(72 points) = 0.60 point.
Thus, 1 gry2 = (0.60 point)2 = 0.36 point2, which means that 0.50 gry 2 = 0.18 point 2 .
3. 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 m,
1km 103 m 103 m106 m m 109 m.
The given measurement is 1.0 km (two significant figures), which implies our result
should be written as 1.0 109 m.
(b) We calculate the number of microns in 1 centimeter. Since 1 cm = 102 m,
1cm = 102 m = 102m106 m m 104 m.
We conclude that the fraction of one centimeter equal to 1.0 m is 1.0 104.
(c) Since 1 yd = (3 ft)(0.3048 m/ft) = 0.9144 m,
1
,
, 2 CHAPTER 1
1.0 yd = 0.91m 106 m m 9.1 105 m.
4. (a) Using the conversion factors 1 inch = 2.54 cm exactly and 6 picas = 1 inch, we
obtain 6 picas
0.80 cm = 0.80 cm 1 inch 1.9 picas.
2.54 cm 1 inch
(b) With 12 points = 1 pica, we have
0.80 cm = 0.80 cm 1 inch 12 points
6 picas
2.54 cm 1 inch 1 pica 23 points.
5. Given that 1 furlong 201.168 m , 1 rod 5.0292 m and 1 chain 20.117 m , we find
the relevant conversion factors to be
1 rod
1.0 furlong 201.168 m (201.168 m ) 40 rods,
5.0292 m
and
1 chain
1.0 furlong 201.168 m (201.168 m ) 10 chains .
20.117 m
Note the cancellation of m (meters), the unwanted unit. Using the given conversion
factors, we find
(a) the distance d in rods to be
40 rods
d 4.0 furlongs 4.0 furlongs 160 rods,
1 furlong
(b) and that distance in chains to be
10 chains
d 4.0 furlongs 4.0 furlongs 40 chains.
1 furlong
6. We make use of Table 1-6.
(a) We look at the first (“cahiz”) column: 1 fanega is equivalent to what amount of cahiz?
We note from the already completed part of the table that 1 cahiz equals a dozen fanega.
Thus, 1 fanega = 12
1
cahiz, or 8.33 102 cahiz. Similarly, “1 cahiz = 48 cuartilla” (in the
already completed part) implies that 1 cuartilla = 48cahiz,
1
or 2.08 102 cahiz.
Continuing in this way, the remaining entries in the first column are 6.94 103 and
3.47103 .