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Unformatted text preview: Patel (sap785) – homework #1 – shubeita – (58645) 1 This printout should have 22 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 3) 10.0 points A solid aluminum cube has sides each of length L. A second cube of the same ma terial has sides three times the length of the first cube, i.e. , 3 L. Compared to the first cube, what is the density of the second cube? 1. four times as much as the first cube 2. twentyfour times as much as the first cube 3. twentyseven times as much as the first cube 4. nine times as much as the first cube 5. two times as much as the first cube 6. None of these 7. eight times as much as the first cube 8. sixtyfour times as much as the first cube 9. the same as the first cube correct 10. sixteen times as much as the first cube Explanation: Density is mass per unit volume and is a property of the material, not the shape or size, so the density remains the same. 002 (part 2 of 3) 10.0 points Compared to the first cube, what is the weight of the second cube? 1. sixteen times as much as the first cube 2. nine times as much as the first cube 3. four times as much as the first cube 4. eight times as much as the first cube 5. twentyfour times as much as the first cube 6. two times as much as the first cube 7. twentyseven times as much as the first cube correct 8. None of these 9. the same as the first cube 10. sixtyfour times as much as the first cube Explanation: V = L 3 , so V 2 V 1 = (3 L ) 3 L 3 = 27 . ρ 2 = ρ 1 m 2 V 2 = m 1 V 1 m 2 m 1 = V 2 V 1 = 27 . the same ratio as the weights. 003 (part 3 of 3) 10.0 points Compared to the first cube, what is the total surface area of the second cube? 1. nine times as much as the first cube cor rect 2. twentyseven times as much as the first cube 3. twentyfour times as much as the first cube 4. None of these 5. sixteen times as much as the first cube 6. nintysix times as much as the first cube 7. four times as much as the first cube 8. eight times as much as the first cube Patel (sap785) – homework #1 – shubeita – (58645) 2 9. the same as the first cube 10. sixtyfour times as much as the first cube Explanation: Surface area is A = 6 L 2 , so A 2 A 1 = 6 (3 L ) 2 6 L 2 = 9 . 004 10.0 points This problem shows how dimensional analysis helps us check our work and sometimes even help us find a formula. A rope has a cross section A = 8 . 4 m 2 and density ρ = 2490 kg / m 3 . The “linear” density of the rope μ , is defined to be the mass per unit length, in the form μ = ρ x A y . Based on dimensional analysis, find the powers x and y . 1. x = 1 , y = 1 2. x = 1 , y = 1 correct 3. x = 2 , y = 1 4. x = 1 , y = 1 5. x = 1 , y = 1 6. x = 2 , y = 2 7. x = 2 , y = 1 8. x = 1 , y = 2 9. x = 1 , y = 2 Explanation: Kilogram (kg): a unit of mass ( M )....
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 Spring '07
 KOPP
 Velocity, patel, ﬁrst cube

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