(Figure 1) shows a container with a cross section area of 15 cm² in which a layer of water floats on top of a layer of mercury. A 1.0 kg wood block with a cross-section area of 10 cm² floats on the water. The water depth, measured from the bottom of the block, is 25 cm. A pressure gauge at the bottom of the container reads 20 kPa. Figure 1.0 kg 25 cm h 10 cm² 15 cm² 1 of 1 What is the depth dm of the mercury? Use pw = 1000 kg/m³ as the density of water and pm = 13,600 kg/m³ as the density of mercury. Express your answer in centimeters. ▾ View Available Hint(s) ▶ ▶ ▶ Hint 1. How to approach the problem Hint 2. Finding the gauge pressure at the top of the water Hint 3. Finding the gauge pressure at the bottom of the water Hint 4. Finding the gauge pressure at the bottom of the mercury The gauge pressure at the bottom of the water, which you found in the previous hint, is the po in the hydrostatic pressure equation for the mercury. You know the density of the mercury. Write an expression for the gauge pressure Pm bot at the bottom of the mercury in terms of the unknown depth dm. Express your answer in terms of dm, and express numerical values in SI units to four significant figures (to avoid round-off errors). Pm bot 12250 + 133300dm = Review Submit Previous Answers Answer Requested You know the numerical value of Pm bot So now you can solve for the depth.
(Figure 1) shows a container with a cross section area of 15 cm² in which a layer of water floats on top of a layer of mercury. A 1.0 kg wood block with a cross-section area of 10 cm² floats on the water. The water depth, measured from the bottom of the block, is 25 cm. A pressure gauge at the bottom of the container reads 20 kPa. Figure 1.0 kg 25 cm h 10 cm² 15 cm² 1 of 1 What is the depth dm of the mercury? Use pw = 1000 kg/m³ as the density of water and pm = 13,600 kg/m³ as the density of mercury. Express your answer in centimeters. ▾ View Available Hint(s) ▶ ▶ ▶ Hint 1. How to approach the problem Hint 2. Finding the gauge pressure at the top of the water Hint 3. Finding the gauge pressure at the bottom of the water Hint 4. Finding the gauge pressure at the bottom of the mercury The gauge pressure at the bottom of the water, which you found in the previous hint, is the po in the hydrostatic pressure equation for the mercury. You know the density of the mercury. Write an expression for the gauge pressure Pm bot at the bottom of the mercury in terms of the unknown depth dm. Express your answer in terms of dm, and express numerical values in SI units to four significant figures (to avoid round-off errors). Pm bot 12250 + 133300dm = Review Submit Previous Answers Answer Requested You know the numerical value of Pm bot So now you can solve for the depth.
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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Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
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Question
Transcribed Image Text:(Figure 1) shows a container with a cross section
area of 15 cm² in which a layer of water floats on
top of a layer of mercury. A 1.0 kg wood block with
a cross-section area of 10 cm² floats on the water.
The water depth, measured from the bottom of the
block, is 25 cm. A pressure gauge at the bottom of
the container reads 20 kPa.
Figure
1.0 kg
25 cm
h
10 cm²
15 cm²
1 of 1
What is the depth dm of the mercury? Use pw = 1000 kg/m³ as the density of water and pm = 13,600 kg/m³ as the
density of mercury.
Express your answer in centimeters.
View Available Hint(s)
▶
▶
▶
Hint 1. How to approach the problem
Hint 2. Finding the gauge pressure at the top of the water
Hint 3. Finding the gauge pressure at the bottom of the water
Hint 4. Finding the gauge pressure at the bottom of the mercury
The gauge pressure at the bottom of the water, which you found in the previous hint, is the po in the hydrostatic
pressure equation for the mercury. You know the density of the mercury. Write an expression for the gauge
pressure Pm bot at the bottom of the mercury in terms of the unknown depth dm.
Express your answer in terms of dm, and express numerical values in SI units to four significant figures
(to avoid round-off errors).
12250+ 133300dm
Pm bot =
Review
Submit
Previous Answers
Answer Requested
You know the numerical value of pm bot so now you can solve for the depth.
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