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h1 - hernandez(ejh742 homework 01 Turner(58120 This...

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hernandez (ejh742) – homework 01 – Turner – (58120) 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A block of material has dimensions 4 . 4 cm by 7 . 7 cm by 2 . 9 cm. Its mass is 601 g. What is the density? Correct answer: 6 . 11692 g / cm 3 . Explanation: Let : = 7 . 7 cm , w = 4 . 4 cm , h = 2 . 9 cm , and m = 601 g . Density is mass per unit volume, so ρ = m V = m ℓ w h = 601 g (7 . 7 cm)(4 . 4 cm)(2 . 9 cm) = 6 . 11692 g / cm 3 . 002 10.0 points Convert an acceleration of 5 . 6 mi / h / s to m / s 2 . Correct answer: 2 . 50289 m / s 2 . Explanation: Let : a = 5 . 6 mi / h / s . a = 5 . 6 mi h · s · 1 . 609 km 1 mi · 1000 m 1 km · 1 h 3600 s = 2 . 50289 m / s 2 . 003 10.0 points Convert 35 . 5 to radians. Correct answer: 0 . 619592 rad. Explanation: Since π rad = 180 , 35 . 5 parenleftbigg π rad 180 parenrightbigg = 0 . 619592 rad . 004 10.0 points Find the area of a rectangular building lot that is 215 ft by 195 ft. Correct answer: 3894 . 96 m 2 . Explanation: Let : = 215 ft and w = 195 ft . A = ℓ w = (215 ft) (195 ft) parenleftbigg 12 in 1 ft parenrightbigg 2 × parenleftbigg 2 . 54 cm 1 in parenrightbigg 2 parenleftbigg 1 m 100 cm parenrightbigg 2 = 3894 . 96 m 2 . Alternate conversions factors are 1 m = 3.281 ft and 0.3048 m = 1 ft, which would also have to be squared. 005 10.0 points In 1990 there were approximately 7 × 10 6 people living in New York City. New York City has an area of approximately 8 . 31 × 10 2 square kilometers. What was the population density of New York City in 1990?
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