TEST BANK For Fundamentals of Physics 10th Edition By Resnick, Walker and Halliday Chapters 1 - 44

TEST BANK For 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 m)(10−3 km m) = 6.37  103 km,

its circumference is s = 2 R = 2 (6.37  103 km) = 4.00 104 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 km 3 .
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 m)(106  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 = 10−2 m,

1cm = 10−2 m = (10−2m)(106  m m) = 104 m.

We conclude that the fraction of one centimeter equal to 1.0 m is 1.0  10−4.

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


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, 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.
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Thus, 1 fanega = 12 cahiz, or 8.33  10−2 cahiz. Similarly, “1 cahiz = 48 cuartilla” (in the
already completed part) implies that 1 cuartilla = 1
48cahiz, or 2.08  10−2 cahiz.
Continuing in this way, the remaining entries in the first column are 6.94  10−3 and
3.4710−3 .