old41 - hinojosa(jlh3938 – oldhomework 41 – Turner...

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Unformatted text preview: hinojosa (jlh3938) – oldhomework 41 – Turner – (58185) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A simple U-tube that is open at both ends is partially filled with a heavy liquid of density 1000 kg / m 3 . A liquid of density 349 kg / m 3 is then poured into one arm of the tube, forming a column 14 cm in height, as shown. h 14 cm light liquid 349 kg / m 3 heavy liquid 1000 kg / m 3 What is the difference in the heights of the two liquid surfaces? Correct answer: 9 . 114 cm. Explanation: Let : ℓ = 14 cm , ρ ℓ = 349 kg / m 3 , and ρ h = 1000 kg / m 3 . Because the liquid in the U-tube is static, the pressure exerted by the heavy liquid col- umn of height ℓ- h in the left branch of the tube must balance the pressure exerted by the liquid of height h poured into the right branch, so P + ( ℓ- h ) ρ h g = P + ℓ ρ ℓ g . h = ℓ parenleftbigg 1- ρ ℓ ρ h parenrightbigg = (14 cm) parenleftbigg 1- 349 kg / m 3 1000 kg / m 3 parenrightbigg = 9 . 114 cm ....
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old41 - hinojosa(jlh3938 – oldhomework 41 – Turner...

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