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HW 2-solutions - virani(sv2339 HW 2 moura(58650 This...

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virani (sv2339) – HW 2 – moura – (58650) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A basketball player is 6 ft 9 1 4 in tall. What is his height in centimeters? Correct answer: 206 . 375 cm. Explanation: We can convert to inches and then to cen- timeters: 6 ft 9 1 4 in = parenleftbigg 6 ft · 12 in 1 ft + 9 . 25 in parenrightbigg × 2 . 54 cm 1 in = 206 . 375 cm . 002 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 = 10 m 2 and density ρ = 2010 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 = - 2 , y = 2 2. x = 1 , y = - 1 3. x = - 1 , y = - 1 4. x = 1 , y = 2 5. x = - 1 , y = 2 6. x = - 2 , y = 1 7. x = - 2 , y = - 1 8. x = 1 , y = 1 correct 9. x = - 1 , y = 1 Explanation: Kilogram (kg): a unit of mass ( M ). Meter (m): a unit of length ( L ).
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