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Fluid-I-solutions

# Fluid-I-solutions - le(txl65 Fluid-I mohanty(81440 This...

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le (txl65) – Fluid-I – mohanty – (81440) 1 This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page – fnd all choices be±ore answering. 001 (part 1 of 2) 10.0 points In a 56 s interval, 719 hailstones strike a glass window o± area 0 . 787 m 2 at an angle 61 to the window sur±ace. Each hailstone has a mass o± 7 g and speed o± 7 . 9 m / s. I± the collisions are elastic, fnd the average ±orce on the window. Correct answer: 1 . 24198 N. Explanation: Let : t = 56 s , N = 719 , θ = 61 , v = 7 . 9 m / s , and m = 7 g = 0 . 007 kg . The ±orce is F = m Δ v Δ t = m 2 v N sin θ t = (0 . 007 kg) 2 (7 . 9 m / s) (719) sin 61 56 s = 1 . 24198 N . 002 (part 2 of 2) 10.0 points Find the pressure on the window. Correct answer: 1 . 57812 N / m 2 . Explanation: Let : A = 0 . 787 m 2 . The pressure is given by P = F A = 1 . 24198 N 0 . 787 m 2 = 1 . 57812 N / m 2 . 003 (part 1 of 2) 10.0 points In a car li±t used in a service station, com- pressed air exerts a ±orce on a small piston o± circular cross-section having a radius o± 4 . 01 cm. This pressure is transmitted by a liquid to a second piston o± radius 17 . 1 cm. What ±orce must the compressed air exert in order to li±t a car weighing 13900 N? Correct answer: 764 . 384 N. Explanation: Let : r 1 = 4 . 01 cm , r 2 = 17 . 1 cm , and F 2 = 13900 N . Because the pressure exerted by the compressed air is transmitted undiminished throughout the ²uid, we have F 1 A 1 = F 2 A 2 F 1 = p A 1 A 2 P F 2 = p π r 2 1 π r 2 2 P F 2 = π (4 . 01 cm) 2 π (17 . 1 cm) 2 (13900 N) = 764 . 384 N . 004 (part 2 of 2) 10.0 points What air pressure will produce this ±orce? Correct answer: 1 . 51312 × 10 5 Pa. Explanation: P = F 1 A 1 = F 1 π r 2 1 = 764 . 384 N π (17 . 1 cm) 2 · p 100 cm 1 m P 2 = 1 . 51312 × 10 5 Pa . 005 10.0 points A 84 . 1 kg solid cylinder, 2 . 49 m long and with an end radius o± 3 . 9 cm, stands on one end.

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Fluid-I-solutions - le(txl65 Fluid-I mohanty(81440 This...

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