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UNITS, PHYSICAL QUANTITIES AND VECTORS
1
1.1.
IDENTIFY: Convert units from mi to km and from km to ft. SET UP: 1 in. ¡ë 2.54 cm , 1 km ¡ë 1000 m , 12 in. ¡ë 1 ft , 1 mi ¡ë 5280 ft . ? 5280 ft ?? 12 in. ?? 2.54 cm ?? 1 m ?? 1 km ? EXECUTE: (a) 1.00 mi ¡ë (1.00 mi) ? ?? ?? ?? 2 ?? 3 ? ¡ë 1.61 km ? 1 mi ?? 1 ft ?? 1 in. ?? 10 cm ?? 10 m ?
1.2.
? 103 m ?? 102 cm ? ? 1 in. ?? 1 ft ? 3 (b) 1.00 km ¡ë (1.00 km) ? ?? ?? ?? ? ¡ë 3.28 ¡¿ 10 ft 1 km ?? 1 m ? ? 2.54 cm ?? 12 in. ? ? EVALUATE: A mile is a greater distance than a kilometer. There are 5280 ft in a mile but only 3280 ft in a km. IDENTIFY: Convert volume units from L to in.3 . SET UP: 1 L ¡ë 1000 cm3 . 1 in. ¡ë 2.54 cm
? 1000 cm3 ? ? 1 in. ? 3 0.473 L ¡¿ ? ?¡¿? ? ¡ë 28.9 in. . ? 1 L ? ? 2.54 cm ? EVALUATE: 1 in.3 is greater than 1 cm3 , so the volume in in.3 is a smaller number than the volume in cm3 , which is 473 cm3 . IDENTIFY: We know the speed of light in m/s. t ¡ë d / v . Convert 1.00 ft to m and t from s to ns. S¡¦(»ý·«)