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11/16/23, 9:13 PM HW 3 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10862044 1/14 HW 3 Due: 11:59pm on Wednesday, November 8, 2023 To understand how points are awarded, read the Grading Policy for this assignment. MCAT (R) Prep: Blood Pressure At some instant, the blood pressure in the heart is 1.9 10 . Assume the density of blood is the same as water. Part A What is the pressure in an artery 0.20 below the heart, treating the blood as a nonviscous ﬂuid? ANSWER: Correct MCAT (R) Prep: Hydrostatic Weighing Hydrostatic weighing, or "underwater weighing," is used to measure a patient's body composition. To do this measurement, the patient is weighed while standing on a regular scale and then weighed while immersed in water. By comparing these weights, the density and body fat percentage of a patient can be recorded. The weight of your patient on a regular scale is 650 and while immersed in water is 70 . The density of water is 1000 and assume that = 10 . Part A What is the volume of your patient? ANSWER: Correct Part B If you were to unknowingly use salt water ( = 1025 ) in place of fresh water, how would this affect your measurement of the patient's density? 1.7 10 2.0 10 2.1 10 1.9 10 0.58 0.065 0.0070 0.058

11/16/23, 9:13 PM HW 3 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10862044 2/14 ANSWER: Correct Part C What is the specific gravity of the patient? ANSWER: Correct Part D If the depth at which the underwater measurements were taken was doubled, what would be the patient's apparent weight? ANSWER: Correct Part E Suppose that while immersed your patient breathes through a thin tube. If the maximum pressure difference your patient's lungs can manage and still breathe is 10,000 , what is the maximum depth to which your patient can be immersed? ANSWER: The patient's density would be measured lower than it actually is. The patient's density would be measured correctly. The patient's density would be measured higher than it actually is. The patient's density would be measured as 0 . 0.89 0.11 1.12 1 140 35 17.5 70

11/16/23, 9:13 PM HW 3 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10862044 3/14 Correct Force on a Goldfish Vector Drawing A fishbowl contains a single goldfish and is filled with water to the level indicated. Part A At each of the designated points, rotate the given vector to indicate the direction of the force exerted by the water on either the inside of the fishbowl (for points A and B ) or the outside of the goldfish (for points C , D , and E ). The orientation of your vectors will be graded. Hint 1. Direction of the force due to the water The water in the fishbowl will exert a force perpendicular to every surface it contacts. The pressure of the water, like the pressure in any ﬂuid, pushes the water outward, equally in all directions, exerting forces on whatever it comes into contact with. ANSWER: 0.1 0.01 1 10

11/16/23, 9:13 PM HW 3 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10862044 4/14 Correct Pressure with two liquids shows a container with a cross section area of 15 in which a layer of water ﬂoats on top of a layer of mercury. A 1.0 wood block with a cross- section area of 10 ﬂoats on the water. The water depth, measured from the bottom of the block, is 25 . A pressure gauge at the bottom of the container reads 21 . No elements selected

11/16/23, 9:13 PM HW 3 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10862044 5/14 Part A What is the depth of the mercury? Use = 1000 as the density of water and = 13,600 as the density of mercury. Express your answer in centimeters. Hint 1. How to approach the problem Hydrostatic pressure at depth in a liquid of density is , where is the pressure at the top of the liquid. This will need to applied twice. Two other things are important. First, the pressure gauge reads gauge pressure , which is the pressure in excess of 1 . Second, the weight of the block contributes to the pressure at the top of the water. Hint 2. Finding the gauge pressure at the top of the water The pressure at the top of the water, at a point under the block, is 1 from the air plus weight per unit area of the block. But the gauge pressure is the pressure in excess of 1 , so only the block contributes to the gauge pressure. What is the gauge pressure at the top of the water? ANSWER: Answer Requested Hint 3. Finding the gauge pressure at the bottom of the water The gauge pressure at the top of the water, which you found in the previous hint, is the term in the hydrostatic pressure equation for the water. You know the depth and density of the water. What is the gauge pressure at the bottom of the water? Express your answer to four significant figures (to avoid round-off errors). ANSWER: Correct 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 in the hydrostatic pressure equation for the mercury. You know the density of the mercury. Write an expression for the gauge pressure at the bottom of the mercury in terms of = 9800 = 12250

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