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# solution_pdf1 - magalhaes(bam2734 – Homework#1 –...

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Unformatted text preview: magalhaes (bam2734) – Homework #1 – Erskine – (58200) 1 This print-out should have 27 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points What unit of measure would you use for vol- ume? 1. grams 2. square centimeters 3. None of these 4. liters correct Explanation: Grams is a unit of measure for mass and square centimeters for area. 002 10.0 points Length is to meter as 1. density is to volume. 2. weight is to mass. 3. liter is to distance. 4. mass is to kilogram. correct Explanation: The standard metric unit for length is the meter, and the standard metric unit for mass is the kilogram. 003 10.0 points The standard of time is based on 1. the daily rotation of the earth. 2. the frequency of light emitted by 86 Kr. 3. the yearly revolution of the earth about the sun. 4. None of these correct 5. a precision pendulum clock. Explanation: The second is defined from oscillations of cesium-133 atoms. 004 (part 1 of 2) 10.0 points How many atoms are in a water molecule? 1. 2 2. 1 3. 3 correct 4. 5 5. 4 Explanation: H 2 O (water) has two hydrogen atoms and one oxygen atom for a total of 3 atoms. 005 (part 2 of 2) 10.0 points How many elements are in a water molecule? 1. 1 2. 5 3. 4 4. 3 5. 2 correct Explanation: A water molecule is composed of hydrogen and oxygen. 006 10.0 points The volume of an object is given as a function of time by V = A + B t + C t 4 . Find the dimension of the constant C . 1. L 2 / T 4 2. L / T 3. L / T 4 4. L 3 / T 4 correct magalhaes (bam2734) – Homework #1 – Erskine – (58200) 2 5. L 4 / T 3 Explanation: [ C t 4 ] = [ V ] [ C ] T 4 = L 3 [ C ] = L 3 T 4 . 007 10.0 points A rope has a cross section A = 8 . 72 m 2 and density ρ = 1750 kg / m 3 . The linear density of the rope μ , defined to be the mass per unit length, can be written in the form μ = ρ x A y . Based on dimensional analysis, determine the powers x and y by choosing an expression below. 1. μ = 1 ρ A 2. μ = A ρ 2 3. μ = A 2 ρ 4. μ = A ρ 5. μ = ρ A 6. μ = A 2 ρ 2 7. μ = ρ A 2 8. μ = 1 ρ A 2 9. μ = ρ A 2 10. μ = ρ A correct Explanation: [ x ] means ”the units of x ”. [ μ ] = [ ρ x A y ] [M] [L] = parenleftbigg M L 3 parenrightbigg x ( L 2 ) y [M] +1 [L] − 1 = M x L − 3 x L 2 y = M x L 2 y − 3 x Equating the exponents, x = 1 2 y- 3 x =- 1 2 y- 3 =- 1 y = 1 ....
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solution_pdf1 - magalhaes(bam2734 – Homework#1 –...

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