Practice Quiz 9.2

Choose the best answer. Answers can be found at the back of the book.

1. The statement ‘An object immersed in a fluid is acted upon by an upward force equal to the weight of the displaced fluid.’ is referred as

A. Hook’s law B. Charles’s law C. Bernoulli’s principle D. Boyle’s law

E. Archimedes’ principle

2. Two tubes of different cross-sectional areas are connected together horizontally. Which of the following is a true statement about a fluid flowing through the tubes.

A. The amount of fluid that leaves the wider tube is less than the amount of fluid that enters the narrower tube in the same interval of time.

B. The speed of the fluid in the narrower tube is greater than the speed of the fluid in the wider tube.

C. The pressure of the fluid in the narrower tube is greater than that in the wider tube.

D. The speed of the fluid in the narrower tube is less than the speed of the fluid in the wider tube.

E. The amount of fluid that leaves the wider tube is greater than the amount of fluid that enters the narrower tube in the same intervalof time.

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3. An object of volume 2e-6 m ³ and density 6000 kg ⁄ m ³ is immersed inside a fluid of density 5000 kg ⁄ m ³. Calculate the force exerted by the fluid on the object.

A. 0.098 N B. 0.137 N C. 0.108 N D. 0.127 N E. 0.118 N

4. An object of volume 4e-4 m ³ is immersed in a fluid. If the fluid is exerting an upward force of 0.7 N on the object, calculate the density of the fluid.

A. 214.286 kg ⁄ m ³ B. 232.143 kg ⁄ m ³ C. 160.714 kg ⁄ m ³ D. 250 kg ⁄ m ³ E. 178.571 kg ⁄ m ³

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5. Calculate the density of an object that floats in a fluid of density 2000 kg ⁄ m ³ with 60 % of its volume immersed in the fluid.

A. 1200 kg ⁄ m ³ B. 840 kg ⁄ m ³ C. 1680 kg ⁄ m ³ D. 1080 kg ⁄ m ³ E. 960 kg ⁄ m ³

6. An object of volume 2e-5 m ³ and density 525 kg ⁄ m ³ is floating in a fluid of density 1250 kg m ³. Calculate the volume of the object exposed above the surface of the fluid.

A. 1.16e-5 m ³ B. 1.148e-5 m ³ C. 1.508e-5 m ³ D. 1.392e-5 m ³ E. 1.624e-5 m ³

7. Tube 1 and tube 2 are connected together. A fluid flowing through these tubes has a speed of 4 m ⁄ s in tube 1 and a speed of 5 m ⁄ s in tube 2. Calculate the ratio of the cross-sectional radius of tube 2 to the cross-sectional radius of tube 1.

A. 1.163 B. 0.716 C. 0.894 D. 0.984 E. 0.537

8. A tube of cross-sectional-radius 0.05 m is connected with a tube of cross-sectional radius 0.02 m. If the speed of a fluid in the 0.05 m cross-sectional radius tube is 24 m ⁄ s, calculate the speed of the fluid in the 0.02 m cross-sectional radius tube.

A. 135 m ⁄ s B. 150 m ⁄ s C. 90 m ⁄ s D. 195 m ⁄ s E. 180 m ⁄ s

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9. Two tubes of different cross-sectional radii are connected horizontally. A fluid of density 2000 kg ⁄ m ³ enters the first tube with a speed of 0.25 m ⁄ s. The cross-sectional radius of the first tube is 0.05 m and that of the second tube is 0.13 m. If the pressure of the fluid in the first tube is 1e4 Pa, calculate the pressure of the fluid in the second tube.

A. 13079.472 Pa B. 11067.246 Pa C. 12073.359 Pa D. 10061.132 Pa E. 6036.679 Pa

10. Two tubes of different cross-sectional radii are connected together with the first tube elevated 0.2 m above the second tube. The speed of a fluid of density 1750 kg ⁄ m ³ in the first and second tube respectively are 1.7 m ⁄ s and 0.1 m ⁄ s. If the pressure of the fluid in the first tube is 5e3 Pa, calculate the pressure of the fluid in the second tube.

A. 14235 Pa B. 10950 Pa C. 12045 Pa D. 6570 Pa E. 13140 Pa

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In document 360° thinking . (Page 180-184)