Chapter 1
1.17.
Model:
Represent the car as a particle.
Visualize:
The car (particle) moves at a constant speed
v
so the distance between the dots is constant. While
turning
v
remains constant, but the direction of
v
G
changes. There will be a
v
∆
G
during the turn. Therefore, there is
an acceleration during the turn.
1.22.
Solve:
(a)
2
2.54 cm
10 m
8 inches
8 (inch)
0.203 m
1 inch
1 cm
−
⎛⎞
==
⎜⎟
⎝⎠
(b)
feet
12 inch
1 m
66 feet/s
66
20.1 m/s
s
1 foot
39.37 inch
⎛
⎞
⎛
⎞
⎜
⎟
⎜
⎟
⎝
⎠
⎝
⎠
(c)
3
miles
1.609 km
1 hour
60 mph
60
26.8 m/s
hour
1 mile
1 km
3600 s
⎛
⎞
⎛
⎞
⎜
⎟
⎜
⎟
⎝
⎠
⎝
⎠
(d)
2
23
1 m
14 square inches
14 (inches)
9.03 10 square meter
39.37 inches
−
×
1.26.
Solve:
(a)
We need kg/m
3
. There are 100 cm in 1 m. If we multiply by
3
3
100 cm
(1)
1 m
=
we do not change the size of the quantity, but only the number in terms of the new unit. Thus, the mass density of
aluminum is
3
33
kg
100 cm
kg
2.7 10
2.7 10
cm
1 m
m
−
⎛
⎞
×=
×
⎜
⎟
⎝
⎠
(b)
Likewise, the mass density of alcohol is
3
g
100 cm
1 kg
kg
0.81
810
cm
1 m
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 Spring '08
 Adler
 Physics, Acceleration, Orders of magnitude, Imperial units, Inch, motion diagram

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