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PHY-HW1(Sol)

# PHY-HW1(Sol) - homework 01 – ALLEN HUNTER – Due 1:00 am...

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Unformatted text preview: homework 01 – ALLEN, HUNTER – Due: Jan 22 2008, 1:00 am 1 Question 1, chap 1, sect 4. part 1 of 1 10 points A plastic tube allows a flow of 13 . 3 cm 3 / s of water through it. How long will it take to fill a 220 cm 3 bottle with water? Correct answer: 16 . 5414 s (tolerance ± 1 %). Explanation: Let : r = 13 . 3 cm 3 / s and V = 220 cm 3 . cm 3 ÷ cm 3 s = cm 3 · s cm 3 = s , so the time is defined by t = V r = 220 cm 3 13 . 3 cm 3 / s = 16 . 5414 s . Question 2, chap 1, sect 4. part 1 of 2 10 points The elevators in the John Hancock building in Chicago move 602 ft in 49 s. a) What is their speed in meters per sec- ond? Correct answer: 3 . 74469 m / s (tolerance ± 1 %). Explanation: 1 ft · 12 in . 1 ft · 2 . 54 cm 1 in . · 1 m 100 cm = 0 . 305 m , so v = parenleftbigg 602 ft 49 s parenrightbiggparenleftbigg . 305 m 1 ft parenrightbigg = 3 . 74469 m / s Question 3, chap 1, sect 4. part 2 of 2 10 points b) What is this speed in miles per hour? Correct answer: 8 . 37689 mi / h (tolerance ± 1 %). Explanation: Since 1 mi = 5280 ft and 1 h = 3600 s, v = parenleftbigg 602 ft 49 s parenrightbiggparenleftbigg 3600 s 1 h parenrightbiggparenleftbigg 1 mi 5280 ft parenrightbigg = 8 . 37689 mi / h . Question 4, chap 1, sect 4. part 1 of 3 10 points A hydrogen atom has a diameter of about 9 . 21 nm. a) Express this diameter in meters. Correct answer: 9 . 21 × 10 − 9 m (tolerance ± 1 %). Explanation: Basic Concept: 1 nm = 1 × 10 − 9 m 1 μ m = 1 × 10 − 6 m 1 mm = 1 × 10 − 3 m Given: diameter = 9 . 21 nm Solution: diameter = 9 . 21 nm = ( . 921 × 10 1 nm ) · 1 × 10 − 9 m 1 nm = 0 . 921 × 10 − 8 m Question 5, chap 1, sect 4. part 2 of 3 10 points b) Express this diameter in millimeters. Correct answer: 9 . 21 × 10 − 6 mm (tolerance ± 1 %). Explanation: Solution: diameter = ( . 921 × 10 − 8 m ) · 1 mm 1 × 10 − 3 m = 0 . 921 × 10 − 5 mm Question 6, chap 1, sect 4. part 3 of 3 10 points c) Express this diameter in micrometers. Correct answer: 0 . 00921 μ m (tolerance ± 1 %). Explanation: homework 01 – ALLEN, HUNTER – Due: Jan 22 2008, 1:00 am 2 Solution: diameter = ( . 921 × 10 − 8 m ) · 1 μ m 1 × 10 − 6 m = 0 . 921 × 10 − 2 μ m Question 7, chap 2, sect 7. part 1 of 1 10 points A sailboat is initially moving at a speed of 4 . 5 m / s. A strong wind blows up and accelerates the boat forward with a constant acceleration of . 2 m / s 2 for 12 s....
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PHY-HW1(Sol) - homework 01 – ALLEN HUNTER – Due 1:00 am...

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