HW17Sol - Jim Guinns PHYS2211 Assignment#17 Solutions Due...

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Jim Guinn’s PHYS2211 Assignment #17 Solutions Due Mon., Apr. 19, 2010 Please note that there is a table of densities on the inside cover of your textbook. 1. Unusually, you happen to have a swimming pool filled with ethyl alcohol in your back yard. What would be the pressure acting on you if you were to swim to a depth of 13.0m . (It is a deep pool of ethanol, by the way.) We have that P 2 = P 1 + ρ gh . With P1 = the pressure at the top of the pool, i.e. 1.00atm, and with the density of ethyl alcohol equal to 790kg/m 3 we have P 2 = 1.013x10 5 Pa + (790kg/m 3 ) (9.80m/s 2 ) (13.0m) = 1.013x10 5 Pa + 1.01x10 5 Pa = P 2 = 2.02x10 5 Pa . And now I would like to know what you are doing with a 13.0m deep pool of ethanol in your back yard? 2. A 6.00cm 3 block of aluminum is put into a container of mercury. What volume of aluminum remains above the surface of the mercury? The density of aluminum is 2700kg/m 3 and the density of mercury is 13600kg/m 3 , so the aluminum will float on the mercury. The forces acting on the aluminum are its weight and the buoyant force from the mercury. These must balance each other.
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