College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 9, Problem 20P

A 62.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using it as a raft. The Styrofoam has dimensions 2.00 m × 2.00 m × 0.090 0 m. The bottom 0.024 m of the raft is submerged. (a) Draw a force diagram of the system consisting of the survivor and raft. (b) Write Newton’s second law for the system in one dimension, using B for buoyancy, w for the weight of the survivor, and wr for the weight of the raft. (Set a = 0.) (c) Calculate the numeric value for the buoyancy, B. (Seawater has density 1 025 kg/m3.) (d) Using the value of B and the weight w of the survivor, calculate the weight w, of the Styrofoam. (e) What is the density of the Styrofoam? (f) What is the maximum buoyant, force, corresponding to the raft being submerged up to its top surface? (g) What total mass of survivors can the raft support?

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Chapter 9 Solutions

College Physics

Ch. 9 - Figure CQ9.4 shows aerial views from directly...Ch. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 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. 11CQCh. 9 - Will an ice cube float higher in water or in an...Ch. 9 - Prob. 13CQCh. 9 - Prob. 14CQCh. 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. 5PCh. 9 - Prob. 6PCh. 9 - Suppose a distant world with surface gravity of...Ch. 9 - Prob. 8PCh. 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. 18PCh. 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. 35PCh. 9 - Prob. 36PCh. 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. 41PCh. 9 - Prob. 42PCh. 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. 49PCh. 9 - Prob. 50PCh. 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. 53PCh. 9 - Prob. 54PCh. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 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. 59PCh. 9 - The aorta in humans has a diameter of about 2.0...Ch. 9 - Prob. 61PCh. 9 - Glycerin in water diffuses along a horizontal...Ch. 9 - Prob. 63PCh. 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. 75PCh. 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. 78APCh. 9 - In most species of clingfish (family...Ch. 9 - Prob. 80APCh. 9 - Prob. 81APCh. 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. 85APCh. 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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