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Chapter 1: Q7DQ (page 395)
In describing the size of a large ship, one uses such expressions as “it displaces 20,000 tons.” What does this mean? Can the weight of the ship be obtained from this information?
The weight of the ship will be equal to the weight of the water displaced.
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A closed and elevated vertical cylindrical tank with diameter 2.00 m contains water to a depth of 0.800 m. A worker accidently pokes a circular hole with diameter 0.0200 m in the bottom of the tank. As the water drains from the tank, compressed air above the water in the tank maintains a gauge pressure of 5 X 103Pa at the surface of the water. Ignore any effects of viscosity. (a) Just after the hole is made, what is the speed of the water as it emerges from the hole? What is the ratio of this speed to the efflux speed if the top of the tank is open to the air? (b) How much time does it take for all the water to drain from the tank? What is the ratio of this time to the time it takes for the tank to drain if the top of the tank is open to the air?
A useful and easy-to-remember approximate value for the number of seconds in a year is𝛑×107. Determine the percent error in this approximate value. (There are 365.24 days in one year.)
A Honda Civic travels in a straight line along a road. The car’s distance x from a stop sign is given as a function of time t by the equation where role="math" localid="1655226337795" androle="math" localid="1655226362269" . Calculate the average velocity of the car for each time interval: (a) t = 0 to t = 2.00 s; (b) t = 0 to t = 4.00 s; (c) t = 2.00 s to t = 4.00 s.
You are on the roof of the physics building, above the ground (Fig. P2.70). Your physics professor, who istall, is walking alongside the building at a constant speed of. If you wish to drop an egg on your professor’s head, where should the professor be when you release the egg? Assume that the egg is in free fall.
(Fig. P2.70)
A rubber hose is attached to a funnel, and the free end is bent around to point upward. When water is poured into the funnel, it rises in the hose to the same level as in the funnel, even though the funnel has a lot more water in it than the hose does. Why? What supports the extra weight of the water in the funnel?
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