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solution-hw23

# solution-hw23 - lai(yl8859 HW23 Ross(15200 This print-out...

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lai (yl8859) – HW23 – Ross – (15200) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A cowboy at a dude ranch fills a horse trough that is 1 . 3 m long, 63 cm wide, and 45 cm deep. He uses a 2 . 3 cm diameter hose from which water emerges at 2 . 1 m / s . How long does it take him to fill the trough? Correct answer: 7 . 04012 min. Explanation: Let : = 1 . 3 m , w = 63 cm = 0 . 63 m , h = 45 cm = 0 . 45 m , r = 1 . 15 cm = 0 . 0115 m , and v = 2 . 1 m / s . The cross-sectional area of the hose is A = π r 2 , and the flow rate is A v , so the time required to fill the trough is Δ t = V F = ℓ w h A v = ℓ w h π r 2 v = (1 . 3 m) (0 . 63 m) (0 . 45 m) π (0 . 0115 m) 2 (2 . 1 m / s) parenleftbigg 1 min 60 s parenrightbigg = 7 . 04012 min . 002 10.0 points A large storage tank is filled to a height 73 cm. The tank is punctured with a small hole at a height 21 cm from the bottom of the tank. h h 0 How far from the tank will the stream land?

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