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Figure (a) below shows a U-shaped tube containing an amount of mercury. The left arm of the tube has cross-sectional area A, of 10.3 cm, and the right arm has a cross-sectional area A, of 4.10 cm. In both arms, the mercury is at the same level, as shown. In figure (b) below, 100 g of water is poured into the right arm of the tube and sits atop the mercury, all of R within the right arm. The mercury level in the right arm has been displaced downward, and the mercury level in the left arm has been displaced upward from its original level by a distance h. The density of mercury is 13.6 g/cm, and the density of water is 1.00 g/cm. Water A Mercury (a) What is the length (in cm) of the column of water in the right arm of the U-shaped tube? 24.39 (b) What distance h (in cm) does the mercury rise in the left arm? 1.26 How is the volume of mercury displaced downward in from the original level in the right arm related to the volume displaced upward in the left? From this, how does the distance the mercury is displaced downward in the right arm compare to the height h (above the original level) in the left? Next, how does the absolute pressure at the same level compare in the two arms? From this, can you relate the absolute pressure at the bottom of the water column to the absolute pressure at the same level within the mercury in the left arm? cm

Figure (a) below shows a U-shaped tube containing an amount of mercury. The left arm of the tube has cross-sectional area A, of 10.3 cm, and the right arm has a cross-sectional area A, of 4.10 cm. In both arms, the mercury is at the same level, as shown. In figure (b) below, 100 g of water is poured into the right arm of the tube and sits atop the mercury, all of R within the right arm. The mercury level in the right arm has been displaced downward, and the mercury level in the left arm has been displaced upward from its original level by a distance h. The density of mercury is 13.6 g/cm, and the density of water is 1.00 g/cm. Water A Mercury (a) What is the length (in cm) of the column of water in the right arm of the U-shaped tube? 24.39 (b) What distance h (in cm) does the mercury rise in the left arm? 1.26 How is the volume of mercury displaced downward in from the original level in the right arm related to the volume displaced upward in the left? From this, how does the distance the mercury is displaced downward in the right arm compare to the height h (above the original level) in the left? Next, how does the absolute pressure at the same level compare in the two arms? From this, can you relate the absolute pressure at the bottom of the water column to the absolute pressure at the same level within the mercury in the left arm? cm

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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Figure (a) below shows a U-shaped tube containing an amount of mercury. The left arm of the tube has cross-sectional area A, of 10.3 cm, and the right arm has a cross-sectional area A, of 4.10 cm. In both arms, the mercury is at the same level, as shown. In figure (b) below, 100 g of water is poured into the right arm of the tube and sits atop the mercury, all of it within the right arm. The mercury level in the right arm has been displaced downward, and the mercury level in the left arm has been displaced upward from its original level by a distance h. The density of mercury is 13.6 g/cm, and the density of water is 1.00 g/cm. UU A Water Mercury (a) What is the length (in cm) of the column of water in the right arm of the U-shaped tube? 24.39 (b) What distance h (in cm) does the mercury rise in the left arm? 1.28 How is the volume of mercury displaced downward in from the original level in the right arm related to the volume displaced upward in the len? From this, how does the distance the mercury is displaced downward in the right arm compare to the height h (above the original level) in the left? Next, how does the absolute pressure at the same level compare in the two arms? From this, can you relate the absolute pressure at the bottom of the water column to the absolute pressure at the same level within the mercury in the left arm? cm
Transcribed Image Text:Figure (a) below shows a U-shaped tube containing an amount of mercury. The left arm of the tube has cross-sectional area A, of 10.3 cm, and the right arm has a cross-sectional area A, of 4.10 cm. In both arms, the mercury is at the same level, as shown. In figure (b) below, 100 g of water is poured into the right arm of the tube and sits atop the mercury, all of it within the right arm. The mercury level in the right arm has been displaced downward, and the mercury level in the left arm has been displaced upward from its original level by a distance h. The density of mercury is 13.6 g/cm, and the density of water is 1.00 g/cm. UU A Water Mercury (a) What is the length (in cm) of the column of water in the right arm of the U-shaped tube? 24.39 (b) What distance h (in cm) does the mercury rise in the left arm? 1.28 How is the volume of mercury displaced downward in from the original level in the right arm related to the volume displaced upward in the len? From this, how does the distance the mercury is displaced downward in the right arm compare to the height h (above the original level) in the left? Next, how does the absolute pressure at the same level compare in the two arms? From this, can you relate the absolute pressure at the bottom of the water column to the absolute pressure at the same level within the mercury in the left arm? cm
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