fisica1-youn-e-freedman-exercicios-resolvidos

5
1.1: 1mi × ( 5280ft mi) × ( 12 in. ft) × ( 2.54cm in. ) × ( 1km 10 cm) = 1.61km
Although rounded to three figures, this conversion is exact because the given conversion
from inches to centimeters defines the inch.
3
⎛1000cm
⎞ ⎛ 1in ⎞
3
1.2: 0.473L ×
⎜
= 28.9in .
1 L
⎟ ×
⎜
2.54cm
⎟
⎝ ⎠ ⎝ ⎠
3
1.3: The time required for light to travel any distance in a vacuum is the distance
divided by the speed of light;
3
10 m
−6
3
= 3.33×
10 s = 3.33×
10 ns.
8
3.00×
10 m s
g ⎛ 1 kg ⎞ ⎛100
cm ⎞
4 kg
1.4: 11.3
×
= 1.13 × 10 .
3 3
cm
⎜
1000 g
⎟ ×
⎜
1 m
⎟
⎝ ⎠ ⎝ ⎠
m
3
3
3
1.5: ( 327 in ) × ( 2.54cm in) × ( 1L 1000 cm ) = 5.36 L.
3
3 ⎛1000
L ⎞ ⎛ 1 gal ⎞ ⎛128
oz. ⎞ ⎛1 bottle ⎞
1.6: 1 m × ⎜ ⎟ × ⎜ ⎟ × ⎜ ⎟× ⎜ ⎟.
3
⎝ 1 m ⎠ ⎝ 3.788 L ⎠ ⎝ 1 gal ⎠ ⎝ 16 oz. ⎠
= 2111.9bottles
≈ 2112 bottles
The daily consumption must then be
3 bottles ⎛
2.11 × 10 ×
yr
⎜
⎝
1 yr
365.24
⎞
= 5.78
da
⎟
⎠
bottles
.
da
1.7: ( 1450 mi hr) × ( 1.61km mi) = 2330 km hr.
2330km hr ×
3
( 10 m km) × ( 1hr 3600 s) = 648 m s.
furlongs ⎛ 1 mile ⎞ ⎛1 fortnight ⎞ ⎛1 day ⎞ mi
1.8: 180 ,000 ×
= 67 .
fortnight
⎜
8 furlongs
⎟ ×
⎜
×
14 day
⎟
⎜
24 h
⎟
⎝ ⎠ ⎝ ⎠ ⎝ ⎠ h
km ⎛ 1mi ⎞ ⎛ 3.788 L ⎞ mi
1.9: 15 .0 × ⎜ ⎟ × ⎜ ⎟ = 35.3 .
L ⎝1.609 km ⎠ ⎝ 1gal ⎠ gal