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Unformatted text preview: chacon (rc26958) Homework No. 1 jimenez (232501) 1 This printout should have 46 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points The kilogram is a unit of 1. length. 2. temperature. 3. volume. 4. mass. 002 10.0 points The prefix that means 1 1000 is 1. milli. 2. kilo. 3. centi. 4. micro. 003 10.0 points Length is to meter as 1. density is to volume. 2. mass is to kilogram. 3. weight is to mass. 4. liter is to distance. 004 10.0 points A gram is what part of a kilogram? 1. 0.001 2. 0.01 3. 0.5 4. 0.1 005 10.0 points What unit of measure would you use for mass? 1. None of these 2. cubic centimeters 3. grams 4. liters 006 10.0 points This problem shows how dimensional analysis helps us check and sometimes even find a formula. A rope has a cross section A = 11 . 8 m 2 and density = 1880 kg / m 3 . The linear density of the rope , defined to be the mass per unit length, can be written in the form = x A y . Based on dimensional analysis, determine the powers x and y by choosing an expression below. 1. = 1 A 2. = A 3. = A 2 4. = A 5. = A 2 6. = A 2 7. = A 2 2 8. = A 2 9. = 1 A 2 10. = A 007 10.0 points chacon (rc26958) Homework No. 1 jimenez (232501) 2 Consider the expression 2 radicalBigg g , where is length and g is gravitational ac celeration in units of length divided by time squared. Evaluate its units. 1. s m 2. s 3. m 2 4. parenleftBig m s parenrightBig 2 5. m 6. s 2 7. m s 8. parenleftBig s m parenrightBig 2 008 10.0 points Derive an equation for the speed of sound v in air by using dimensional analysis only. Hint: Let R , P , T , , and be the gas con stant [ R ] = m 2 kg s 2 K , air pressure [ P ] = kg m s 2 , temperature [ T ] = K, molar mass [ ] = kg, and volume density respectively [ ] = kg / m 3 . Start from the equation of state P = R T (derived from P V = n R T ) and choose four (independent) parameters, for instance P , , R , and T . Assume: The speed of sound only depends on these four parameters (is it reasonable?) and check if your expression for the speed v is proportional to 1. v radicalbigg P T R 2. v radicalBigg T R 3. v radicalbig R T 4. v radicalbigg T R P 5. v radicalbigg R T P 6. v R P T 7. v radicalBigg R T 8. v radicalbigg T R 9. v radicalBigg P T P 10. v radicalbigg T R P 009 10.0 points Which conversion factor would you use to change 18 kilometers to meters? 1. 1 km 1000 m 2. 1000 m 1 km 3. 1 km 100 m 4. 100 m 1 km 010 10.0 points A human hair is approximately 56 m in di ameter....
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This note was uploaded on 06/15/2009 for the course PHYSICS 303 taught by Professor Yi during the Spring '09 term at University of TexasTyler.
 Spring '09
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