P221_2008_week12 - Pascal's Principle(hydraulic systems...

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Pascal’s Principle (hydraulic systems) Small force in LARGE force out Small force in
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Chapter 14 problems
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Joey Soprano tasks two underlings to dispose of a large heavy “package” in the bottom of a holding tank at a local water treatment plant. The pair take the package out to the middle of the (large) tank using a small boat, and drop it over the side (at which point it sinks to the bottom of the tank). Does the water level (as measured at the side of the tank) go up, go down, or stay the same after the package reaches the bottom and while the two hoods are moving back to the side of the tank (compared to its level when the package was still in the boat)? (DOWN: 3 UP: 9 SAME: 13 NO ANSWER: 16 ??: 1 ) When the package is still in the boat no water is displaced because the bouyant force is greater than the gravitational force so no part of the package is submerged. However when the package goes to the bottom it does displace water in the tank and so the water level will go up a little bit. The water level will be the smae. The requirement for the flotation of the boat is that the F(b)be equal to the weight of the water displaced. So the package would have made the boat sink in the water an amount to equal its mass in water. Goes down. When he is floating in the boat, he is displacing his own weight in water. When he sinks to the bottom, he is displacing his own volume in water. Since he sinks, it is safe to
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P221_2008_week12 - Pascal's Principle(hydraulic systems...

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