PHY303k_-_Spring_2010_-_HW_1

PHY303k_-_Spring_2010_-_HW_1 - saldana(avs387 Homework 01...

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saldana (avs387) – Homework 01 – florin – (58140) 1 This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points The distance between the sun and the Earth is about 1 . 5026 × 10 11 m. Express this distance with an SI prefix. 1. 1 . 5026 × 10 1 Pm 2. 1 . 5026 × 10 1 km 3. 1 . 5026 × 10 1 Mm 4. 1 . 5026 × 10 1 Tm correct 5. 1 . 5026 × 10 1 Gm 6. None of these 7. 1 . 5026 × 10 1 mm Explanation: 1 Tm = 1 × 10 12 m , so d = ( 1 . 5026 × 10 11 m ) · 1 Tm 1 × 10 12 m = 1 . 5026 × 10 1 Tm . 002 (part 2 of 2) 10.0 points Express this distance in kilometers. 1. 1 . 5026 × 10 9 km 2. 1 . 5026 × 10 11 km 3. 1 . 5026 × 10 10 km 4. None of these 5. 1 . 5026 × 10 6 km 6. 1 . 5026 × 10 7 km 7. 1 . 5026 × 10 8 km correct Explanation: 1 km = 1 × 10 3 m , so d = ( 1 . 5026 × 10 11 m ) · 1 km 1 × 10 3 m = 1 . 5026 × 10 8 km . 003 10.0 points A block of material has dimensions 4 cm by 8 . 9 cm by 4 . 6 cm. Its mass is 636 g. What is the density? Correct answer: 3 . 88373 g / cm 3 . Explanation: Let : = 8 . 9 cm , w = 4 cm , h = 4 . 6 cm , and m = 636 g . Density is mass per unit volume, so ρ = m V = m ℓ w h = 636 g (8 . 9 cm)(4 cm)(4 . 6 cm) = 3 . 88373 g / cm 3 . 004 10.0 points Convert an acceleration of 2 . 6 mi / h / s to m / s 2 . Correct answer: 1 . 16206 m / s 2 . Explanation: Let : a = 2 . 6 mi / h / s . a = 2 . 6 mi h · s · 1 . 609 km 1 mi · 1000 m 1 km · 1 h 3600 s = 1 . 16206 m / s 2 . 005 10.0 points Convert 13 to radians. Correct answer: 0 . 226893 rad.
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saldana (avs387) – Homework 01 – florin – (58140) 2 Explanation: Since π rad = 180 , 13 parenleftbigg π rad 180 parenrightbigg = 0 . 226893 rad . 006 10.0 points Find the area of a rectangular building lot that is 165 ft by 40 ft. Correct answer: 613 . 16 m 2 . Explanation: Let : = 165 ft and w = 40 ft . A = ℓ w = (165 ft) (40 ft) parenleftbigg 12 in 1 ft parenrightbigg 2 × parenleftbigg 2 . 54 cm 1 in parenrightbigg 2 parenleftbigg 1 m 100 cm parenrightbigg 2 = 613 . 16 m 2 .
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