Explanation Section 1: To determine : The pressure difference between the input and output of the needle. Answer : The pressure difference between the input and output of the needle is 9.8 × 10 3 Pa . Explanation : As the solution is elevated above the needle, the pressure difference between the input and out of the needle hence atmospheric pressure in the vein is Δ P = ( P atm + ρ g h ) − P atm and it is reduced as Δ P = ρ g h . Given info : The density of the solution is 1.0 × 10 3 kg/m 3 , acceleration due to gravity is 9.8 m/s 2 , and the height of the solution is 1.0 m . The formula for the pressure drop is, Δ P = ρ g h ρ is density of the solution. g is acceleration due to gravity. h is height of the solution. Substitute 1.0 × 10 3 kg/m 3 for ρ , 9.8 m/s 2 for g , and 1.0 m for h to find Δ P . Δ P = ( 1.0 × 10 3 kg/m 3 ) ( 9.8 m/s 2 ) ( 1.0 m ) = 9.8 × 10 3 Pa Thus, the pressure difference between the input and output of the needle is 9.8 × 10 3 Pa . Section 2: To determine : The radius of the needle should be used to inject a volume of a solution into patient. Answer : The radius of the needle should be used to inject a volume of a solution into patient is 0.21 mm . Explanation : According to the principle of Poiseuille, the pressure difference required producing volume flow rate of the given fluid with viscosity η through a needle of radius R and length L is Δ P = [ 8 η L ( Δ V / Δ t ) ] / π R 2 and this expression is rearranged for the radius of the needle. Given info : The volume of the solution is 500 cm 3 , time for the flow is 30.0 min , density of the solution is 10 3 kg/m 3 , viscosity of the solution is 1

WebAssign Printed Access Card for Serway/Vuille's College Physics, 11th Edition, Multi-Term

11th Edition

ISBN: 9781337763486

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

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Chapter 9, Problem 59P

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Chapter 9, Problem 58P

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Chapter 9 Solutions

WebAssign Printed Access Card for Serway/Vuille's College Physics, 11th Edition, Multi-Term

Ch. 9.2 - Suppose you have one cubic meter of gold, two...Ch. 9.3 - The pressure at the bottom of a glass filled with...Ch. 9.4 - Several common barometers are built using a...Ch. 9.4 - Blood pressure is normally measured with the cuff...Ch. 9.5 - Atmospheric pressure varies from day to day. The...Ch. 9.5 - The density of lead is greater than iron, and both...Ch. 9.6 - You observe two helium balloons floating next to...Ch. 9 - The three containers in Figure CQ9.1 are filled...Ch. 9 - The density of air is 1.3 kg/m3 at sea level. From...Ch. 9 - Four solid, uniform objects are placed in a...

Ch. 9 - Figure CQ9.4 shows aerial views from directly...Ch. 9 - Prob. 5CQ Ch. 9 - Prob. 6CQ Ch. 9 - Water flows along a streamline down a river of...Ch. 9 - During inhalation, the pressure in the lungs is...Ch. 9 - The water supply for a city is often provided from...Ch. 9 - An ice cube is placed in a glass of water. What...Ch. 9 - Prob. 11CQ Ch. 9 - Will an ice cube float higher in water or in an...Ch. 9 - Prob. 13CQ Ch. 9 - Prob. 14CQ Ch. 9 - A person in a boat floating in a small pond throws...Ch. 9 - One of the predicted problems due to global...Ch. 9 - An 81.5kg man stands on a horizontal surface. (a)...Ch. 9 - The weight of Earths atmosphere exerts an average...Ch. 9 - Calculate the mass of a solid gold rectangular bar...Ch. 9 - Prob. 5P Ch. 9 - Prob. 6P Ch. 9 - Suppose a distant world with surface gravity of...Ch. 9 - Prob. 8P Ch. 9 - (a) Calculate the absolute pressure at the bottom...Ch. 9 - Mercury is poured into a U-tube as shown in Figure...Ch. 9 - A collapsible plastic bag (Fig. F9.11) contains a...Ch. 9 - A hydraulic jack has an input piston of area 0.050...Ch. 9 - A container is filled to a depth of 20.0 cm with...Ch. 9 - Blaise Pascal duplicated Torricellis barometer...Ch. 9 - A sphygmomanometer is a device used to measure...Ch. 9 - Piston in Figure P9.16 has a diameter of 0.25...Ch. 9 - Buoyant Forces and Archimedes Principle A...Ch. 9 - Prob. 18P Ch. 9 - A small ferryboat is 4.00 m wide and 6.00 m long....Ch. 9 - A 62.0-kg survivor of a cruise line disaster rests...Ch. 9 - A hot-air balloon consists of a basket banging...Ch. 9 - A large balloon of mass 226 kg is filled with...Ch. 9 - A spherical weather balloon is filled with...Ch. 9 - The average human has a density of 945 kg/m3 after...Ch. 9 - On October 21, 2001, Ian Ashpole of the United...Ch. 9 - The gravitational force exerted on a solid object...Ch. 9 - A cube of wood having an edge dimension of 20.0 cm...Ch. 9 - A light spring of force constant k = 160 N/m rests...Ch. 9 - A sample of an unknown material appears to weigh...Ch. 9 - An object weighing 300 N in air is immersed in...Ch. 9 - A 1.00-kg beaker containing 2.00 kg of oil...Ch. 9 - A horizontal pipe narrows from a radius of 0.250 m...Ch. 9 - A large water tank is 3.00 m high and filled lo...Ch. 9 - Wafer flowing through a garden hose of diameter...Ch. 9 - Prob. 35P Ch. 9 - Prob. 36P Ch. 9 - A hypodermic syringe contain a medicine with the...Ch. 9 - When a person inhales, air moves down the bronchus...Ch. 9 - A jet airplane in level flight has a mass of 8.66 ...Ch. 9 - A man attaches a divider to an outdoor faucet so...Ch. 9 - Prob. 41P Ch. 9 - Prob. 42P Ch. 9 - A jet of water squirts out horizontally from a...Ch. 9 - A large storage tank, open to the atmosphere at...Ch. 9 - The inside diameters of the larger portions of the...Ch. 9 - Water is pumped through a pipe of diameter 15.0 cm...Ch. 9 - Old Faithful geyser in Yellowstone Park erupts at...Ch. 9 - The Venturi tube shown in Figure P9.48 may be used...Ch. 9 - Prob. 49P Ch. 9 - Prob. 50P Ch. 9 - A certain fluid has a density of 1.080 kg/m3 and...Ch. 9 - Whole blood has a surface tension of 0.058 N/m and...Ch. 9 - Prob. 53P Ch. 9 - Prob. 54P Ch. 9 - Prob. 55P Ch. 9 - Prob. 56P Ch. 9 - Spherical panicles of a protein of density 1.8...Ch. 9 - A hypodermic needle is 3.0 era in length and 0.30...Ch. 9 - Prob. 59P Ch. 9 - The aorta in humans has a diameter of about 2.0...Ch. 9 - Prob. 61P Ch. 9 - Glycerin in water diffuses along a horizontal...Ch. 9 - Prob. 63P Ch. 9 - Small spheres of diameter 1.00 mm fall through 20C...Ch. 9 - The Deformation of Solids 65. A 200.-kg load is...Ch. 9 - A 25.0-m long steel cable with a cross-sectional...Ch. 9 - A plank 2.00 cm thick and 15.0 cm wide is firmly...Ch. 9 - Artificial diamonds can be made using...Ch. 9 - For safety in climbing, a mountaineer uses a nylon...Ch. 9 - Assume that if the shear stress in steel exceeds...Ch. 9 - Bone has a Youngs modulus of 18 109 Pa. Under...Ch. 9 - A stainless-steel orthodontic: wire is applied to...Ch. 9 - A high-speed lifting mechanism supports an 800.-kg...Ch. 9 - The deepest point in the ocean is in the Mariana...Ch. 9 - Prob. 75P Ch. 9 - The total cross-sectional area of the load-bearing...Ch. 9 - An iron block of volume 0.20 m5 is suspended from...Ch. 9 - Prob. 78AP Ch. 9 - In most species of clingfish (family...Ch. 9 - Prob. 80AP Ch. 9 - Prob. 81AP Ch. 9 - Superman attempts to drink water through a very...Ch. 9 - The human brain and spinal cord are immersed in...Ch. 9 - A Hydrometer is an instrument used to determine...Ch. 9 - Prob. 85AP Ch. 9 - A helium-filled balloon, whose envelope has a mass...Ch. 9 - A light spring of constant A = 90.0 N/m is...Ch. 9 - A U-tube open at both ends is partially filled...Ch. 9 - In about 1657. Otto von Guericke, inventor of the...Ch. 9 - Oil having a density of 930 kg/m3 floats on water....Ch. 9 - Prob. 91AP

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The radius of the needle should be used to inject a volume of a solution into patient.

Solution Summary: The author explains the pressure difference between the input and output of the needle, and the formula for the resulting pressure drop is Delta P=rho gh

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