Freedman - fisica
PHYSICS ACT. http//physicsact.wordpress.com Capítulo 1
1.1: 1 mi × (5280 ft mi ) × (12 in. ft ) × (2.54 cm in .) × 1 km 105 cm = 1.61 km Although rounded to three figures, this conversion is exact because the given conversion from inches to centimeters defines the inch.
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1.2:
1000 cm 3 1in 3 0.473 L × 1 L × 2.54 cm = 28.9 in .
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1.3: The time required for light to travel any distance in a vacuum is the distance divided by the speed of light; 103 m = 3.33 × 10− 6 s = 3.33 × 103 ns. 8 3.00 × 10 m s g 1 kg 100 cm 4 kg 11.3 × 3 1000 g × 1 m =1.13 × 10 m 3 . cm
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1.4:
1.5:
(327 in )× (2.54 cm in ) × (1 L 1000 cm ) = 5.36 L.
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1.6:
1000 L 1 gal 128 oz. 1 bottle × × × . 1 m3 × 3 1 m 3.788 L 1 gal 16 oz. = 2111.9 bottles ≈ 2112 bottles
The daily consumption must then be bottles 1 yr bottles 2.11 × 10 3 × 365.24 da = 5.78 da . yr
1.7:
(1450 mi hr ) × (1.61 km mi) = 2330 km hr . 2330 km hr × (103 m km )× (1 hr 3600 s ) = 648 m s. furlongs 1 mile 1 fortnight 1 day mi × 8 furlongs × 14 day × 24 h = 67 h . fortnight
1.8:
180,000
1.9:
15.0
km 1 mi 3.788 L mi × × 1 gal = 35.3 gal . L 1.609 km
mi 1.10: a) 60 hr
1h 3600 s
5280 ft ft 1 mi = 88 s
m ft 30.48 cm 1 m b) 32 2 1ft 100 cm = 9.8 s 2 s
g 100 cm c) 1.0 cm 3 1 m
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1 kg 3 kg 1000 g = 10 m 3
1.11: The density is mass per unit volume, so the volume is mass divided by density. V = 60 ×103 g 19.5 g cm 3 = 3077 cm 3 4 Use the formula for the volume of a sphere, V = πr 3 , 3 1/ 3 to calculate r : r = (3V 4π ) = 9.0 cm
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1.12:
(3.16 × 10 7 s − π