Ch1 - CHAPTER 1 Systems of Measurement 1* Which of the...

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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 1-1 and the abbreviations listed on page EP-1; 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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Chapter 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 one-fourth 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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Ch1 - CHAPTER 1 Systems of Measurement 1* Which of the...

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