hmwk-5-Fall-2006 - PHY 317K November 7, 2006 HOMEWORK # 5...

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PHY 317K November 7, 2006 HOMEWORK # 5 DUE on November 21, 2006 by 8:00pm Instructions: Use a SCANTRON ANSWER SHEET to mark answers. Provide your NAME (last, first), UT EID, and UNIQUE NUMBER of the course. Sign and date it. The answer sheets must be placed in the 317K box (by the bulletin board outside PAI 2.48) by 8:00pm on Tuesday, November 7, 2006. Late homework will not be graded. Answer the following 52 questions: 1. 1 Pa is: A) 1 N/m B) 1 m/N C) 1 kg/m s D) 1 kg/m s 2 E) 1 N/m s 2. To measure moderately low pressures oil with a density of 8.5 × 10 2 kg/m 3 is used in place of mercury in a barometer. A change in the oil column of 1.0 mm indicates a change in pressure of about: A) 1.2 × 10 –7 Pa B) 1.2 × 10 –5 Pa C) 0.85 Pa D) 1.2 Pa E) 8.3 Pa 3. The vessels shown below all contain water to the same height. Rank them according to the pressure exerted by the water on the vessel bottoms, least to greatest. A) 1, 2, 3, 4 B) 3, 4, 2, 1 C) 4, 3, 2, 1 D) 2, 3, 4, 1 E) All pressures are the same Page 1
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4. The diagram shows a U-tube having cross-sectional area A and partially filled with oil of density ρ . A solid cylinder, which fits the tube tightly but can slide without friction, is placed in the right arm. The system reaches equilibrium. The weight of the cylinder is: A) AL g B) L 3 g C) A ( L + h ) g D) A ( L h ) g E) none of these 5. The density of water is 1.0 g/cm 3 . The height h of the oil in the left column is 5 cm. The density of the oil in the left column of the U-tube shown below is: A) 0.50 g/cm 3 B) 0.60 g/cm 3 C) 0.75 g/cm 3 D) 0.80 g/cm 3 E) 1.1 g/cm 3 6. A certain object floats in fluids of density 1. 0.9 0 2. 0 3. 1.1 0 Rank these fluids according to the volume displaced by the object, least to greatest. A) 1, 2, 3 B) 3, 2, 1 C) 2, 3, 1 D) 3, 1, 2 E) All are the same Page 2
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7. Two identical blocks of ice float in water as shown. Then: A) block A displaces a greater volume of water since the pressure acts on a smaller bottom area B) block B displaces a greater volume of water since the pressure is less on its bottom C) the two blocks displace equal volumes of water since they have the same weight D) block A displaces a greater volume of water since its submerged end is lower in the water E) Block B displaces a greater volume of water since its submerged end has a greater area 8. An object hangs from a spring balance. The balance indicates 30 N in air, and 20 N when the object is submerged in water.What does the balance indicate when the object is submerged in liquid with a density that is half of water?: A) 20 N B) 25 N C) 30 N D) 35 N E) 40 N 9. A hydraulic press has one piston of diameter 2.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston: A) 6.25 N B) 25 N C) 100 N D) 400 N E) 1600 N Page 3
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10. A U-tube has dissimilar arms, one having twice the diameter of the other. It contains an incompressible fluid and is fitted with a sliding piston in each arm, with each piston in contact with the fluid. When the piston in the narrow arm is pushed down a distance d , the piston in the wide arm rises a distance: A) d B) 2 d C) d /2 D) 4 d E) d /4 11. One end of a cylindrical pipe has a radius of 1.5 cm. Water (density = 1.0
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hmwk-5-Fall-2006 - PHY 317K November 7, 2006 HOMEWORK # 5...

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