homework 01-solutions - patel(rmp932 homework 01...

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patel (rmp932) – homework 01 – Turner – (58220) 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 3 . 1 cm by 8 . 3 cm by 4 . 4 cm. Its mass is 606 g. What is the density? Correct answer: 5 . 35279 g / cm 3 . Explanation: Let : = 8 . 3 cm , w = 3 . 1 cm , h = 4 . 4 cm , and m = 606 g . Density is mass per unit volume, so ρ = m V = m w h = 606 g (8 . 3 cm)(3 . 1 cm)(4 . 4 cm) = 5 . 35279 g / cm 3 . 002 10.0 points Convert an acceleration of 2 . 7 mi / h / s to m / s 2 . Correct answer: 1 . 20675 m / s 2 . Explanation: Let : a = 2 . 7 mi / h / s . a = 2 . 7 mi h · s · 1 . 609 km 1 mi · 1000 m 1 km · 1 h 3600 s = 1 . 20675 m / s 2 . 003 10.0 points Convert 16 to radians. Correct answer: 0 . 279253 rad. Explanation: Since π rad = 180 , 16 π rad 180 = 0 . 279253 rad . 004 10.0 points Find the area of a rectangular building lot that is 90 ft by 70 ft. Correct answer: 585 . 289 m 2 . Explanation: Let : = 90 ft and w = 70 ft . A = w = (90 ft) (70 ft) 12 in 1 ft 2 × 2 . 54 cm 1 in 2 1 m 100 cm 2 = 585 . 289 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.
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