CHAPTER 13 1. How tall must a column of mercury, ρ 1.36 104 kg/m3, be to exert a pressure equal to the atmosphere? 2. A dog, whose paw has an area of 12.0 cm2, has a mass of 8.0 kg. What average pressure does the dog exert while standing? 3. A crate, whose bottom surface is 50.4 cm by 28.3 cm, exerts a pressure of 2.50 103 Pa on the floor. What is the mass of the crate? 4. The dimensions of a waterbed are 2.13 m by 1.52 m by 0.38 m. If the frame has a mass of 91.0 kg and the mattress is filled with water, what pressure does the bed exert on the floor? 5. A rectangular block of tin, ρ 7.29 103 kg/m3, has dimensions of 5.00 cm by 8.50 cm by 2.25 cm. What pressure does it exert on a table top if it is lying on its side of a. greatest surface area? b. smallest surface area? 6. A rowboat, mass 42.0 kg, is floating on a lake. a. What is the size of the buoyant force? Copyright © by Glencoe/McGraw-Hill b. What is the volume of the submerged part of the boat? 7. A hydraulic lift has a large piston of 20.00-cm diameter and a small piston of 5.00-cm diameter. What is the mechanical advantage of the lift? Physics: Principles and Problems 8. A lever on a hydraulic system gives a mechanical advantage of 5.00. The crosssectional area of the small piston is 0.0400 m2, and that of the large piston is 0.280 m2. If a force of 25.0 N is exerted on the lever, what is the force given by the larger piston? 9. A piece of metal weighs 75.0 N in air and 60.0 N in water. What is the density of the metal? 10. A river barge with vertical sides is 20.0 m long and 10.0 m wide. It floats 3.00 m out of the water when empty. When loaded with coals the water is only 1.00 m from the top. What is the weight of the load of coal? 11. What is the change in the length of a 15.0-m steel rail as it is cooled from 1535°C to 20°C? 12. A concrete sidewalk section 8.000 m by 1.000 m by 0.100 m at exactly 0°C will expand to what volume at 35°C? 13. An air-filled balloon of 15.0-cm radius at 11°C is heated to 121°C. What change in volume occurs? 14. A circular, pyrex watch glass of 10.0-cm diameter at 21°C is heated to 501°C. What change will be found in the circumference of the glass? 15. A 200.0-cm copper wire and a 201-cm platinum wire are both at exactly 0°C. At what temperature will they be of equal length? Supplemental Problems 21
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