(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/cm°, what distance h does the mercury rise in the left arm?

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Chapter1: Units, Trigonometry. And Vectors
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Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A, of 10.5 cm?, and
the right arm has a cross-sectional area A, of 5.30 cm². Two hundred grams of water are then poured into the right arm as
shown in Figure b.
Water
A1
A2
A1
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 A, is wider than the right arm with
cross-sectional area Az. 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.
Mercury
(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/cm, what distance h does the mercury rise in the left arm?
cm
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Transcribed Image Text:Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A, of 10.5 cm?, and the right arm has a cross-sectional area A, of 5.30 cm². Two hundred grams of water are then poured into the right arm as shown in Figure b. Water A1 A2 A1 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 A, is wider than the right arm with cross-sectional area Az. 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. Mercury (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/cm, what distance h does the mercury rise in the left arm? cm Need Help? Watch It Read It
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