a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 26.6 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 29.0 cm?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A submersible vehicle is in a lake at a depth of 29.6 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 ✕ 103 kg/m3, and the air above is at a pressure of 101.3 kPa.
Pa
(b)
The submersible vehicle has a circular window with a diameter of 42.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.)


 
 
 

a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 26.6 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa.
Pa

(b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 29.0 cm?


 

 

 

 

Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 10.8 cm2, and the right arm has a cross-sectional area A2 of 5.50 cm2. One hundred grams of water are then poured into the right arm as shown in Figure b.

Figure (a) shows a U-shaped tube filled with mercury. Both arms of the U-shaped tube are vertical. The left arm with cross-sectional area A1 is wider than the right arm with cross-sectional area A2. The height of the mercury is the same in both arms. Figure (b) shows the same U-shaped tube, but now most of the right arm is filled with water. The height of the column of water in the right arm is much greater than the height of the column of mercury in the left arm. The height of the mercury in the left arm is greater than the height of the mercury in the arms in Figure (a), and the difference in height is labeled h.
(a) Determine the length of the water column in the right arm of the U-tube.
cm

(b) Given that the density of mercury is 13.6 g/cm3, what distance h does the mercury rise in the left arm?
cm

 

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