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CHAPTER
1
Systems of Measurement
1*
·
Which of the following is
not
one of the fundamental physical quantities in the SI system?
(
a
) mass
(
b
) length
(
c
) force
(
d
) time
(
e
) All of the above are fundamental physical quantities.
(
c
) Force is
not
a fundamental physical quantity; see text.
2
·
In doing a calculation, you end up with m/s in the numerator and m/s
2
in the denominator. What are your final
units? (
a
) m
2
/s
3
(
b
) 1/s
(
c
) s
3
/m
2
(
d
) s
(
e
) m/s
(
d
) (m/s)/(m/s
2
) = (m/s)(s
2
/m) = s.
3
·
Write the following using prefixes listed in Table 11 and the abbreviations listed on page EP1; for example,
10,000 meters = 10 km. (
a
) 1,000,000 watts, (
b
) 0.002 gram,
(
c
) 3
×
10
6
meter,
(
d
) 30,000 seconds.
(
a
) 1 MW
(
b
) 2 mg
(
c
) 3
m
m
(
d
) 30 ks
4
·
Write each of the following without using prefixes: (
a
) 40
m
W,
(
b
) 4 ns,
(
c
) 3 MW,
(
d
) 25 km.
(
a
) 0.000040 W
(
b
) 0.000000004 s
(
c
) 3,000,000 W
(
d
) 25,000 m
5* ·
Write out the following (which are not SI units) wihout using any abbreviations. For example, 10
3
meters =
1 kilometer.
(
a
) 10
12
boo,
(
b
) 10
9
low,
(
c
) 10
6
phone,
(
d
) 10
18
boy,
(
e
) 10
6
phone,
(
f
) 10
9
goat
(
g
) 10
12
bull.
(
a
) 1 picoboo
(
b
) 1 gigalow
(
c
) 1 microphone
(
d
) 1 attoboy
(
e
) 1 megaphone
(
f
) 1 nanogoat
(
g
) 1 terabull
6
··
In the following equations, the distance
x
is in meters, the time
t
is in seconds, and the velocity
v
is in meters
per second. What are the SI units of the constants
C
1
and
C
2
?
(
a
)
x = C
1
+ C
2
t
(
b
)
x
= 1/2
C
1
t
2
(
c
)
v
2
= 2
C
1
x
(
d
)
x = C
1
cos
C
2
t
(
e
)
e
C
=
v
t
C

2
1
(
a
)
C
1
and
C
2
t
must be in meters
(
b
)
C
1
t
2
must be in meters
(
c
)
v
2
is in m
2
/s
2
; so
C
1
x
must be in m
2
/s
2
(
d
) cos
C
2
t
is a number;
C
2
t
is a number
(
e
)
v
is in m/s.
C
2
t
is a number
C
1
in m;
C
2
in m/s
C
1
in m/s
2
C
1
in m/s
2
C
1
in m;
C
2
in s
1
C
1
in m/s;
C
2
in s
1
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View Full DocumentChapter 1
Systems of Measurement
7
··
If
x
is in feet,
t
is in seconds, and
v
is in feet per second, what are the units of the constants
C
1
and
C
2
in each
part of Problem 6?
It is only necessary to change the unit of length in each case from m (meter) to ft (foot). Thus, for example, in
part (
e
), we have
C
1
in ft/s;
C
2
in s
1
.
8
·
From the original definition of the meter in terms of the distance from the equator to the North Pole, find in
meters (
a
) the circumference of the earth, and (
b
) the radius of the earth. (
c
) Convert your answers for (
a
) and (
b
)
from meters into miles.
(
a
) The Pole–Equator distance is onefourth of the
circumference
(
b
) Use
C
= 2
p
R
(
c
) Use the conversion factor (1 mi)/(1.61 km) = 1
C
= 4
×
10
7
m
R
= (4
×
10
7
m)/2
p
= 6.37
×
10
6
m
C
= (4
×
10
7
m)(1 mi/1.61
×
10
3
m) = 2.46
×
10
4
mi
R
= (6.37
×
10
6
m)(1 mi/1.61
×
10
3
m) = 3.96
×
10
3
mi
9* ·
The speed of sound in air is 340 m/s. What is the speed of a supersonic plane that travels at twice the speed of
sound? Give your answer in kilometers per hour and miles per hour.
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 Spring '08
 staff
 Force, Mass

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