College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 9, Problem 16P
Piston ① in Figure P9.16 has a diameter of 0.25 in.; piston ② has a diameter of 1.5 in. In the absence of friction, determine the force
Figure P9.16
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v Piston O in Figure P9.16 has a diameter of 0.25 in.;
piston ® has a diameter of 1.5 in. In the absence of friction,
determine the force F necessary to support the 500-lb weight.
500 lb
2.0 in.
late–10 in.
Figure P9.16
BIO A sphygmomanometer is a device used
to measure blood pressure, typically consist-
ing of an inflatable cuff and a manometer
used to measure air pressure in the cuff. In a mercury sphyg-
momanometer, blood pressure is related to the difference in
heights between two columns of mercury.
The mercury sphygmomanometer shown in Figure P9.15
contains air at the cuff pressure P. The difference in mer-
cury heights between the left tube and the right tube is h =
115 mmHg = 0.115 m, a normal systolic reading. What is the
gauge systolic blood pressure Pgauge in pascals? The density of
mercury is p = 13.6 × 10* kg/m³ and the ambient pressure is
P, = 1.01 × 10* Pa.
Po
Figure P9.15
A Volkswagen with mass m = 8.00 x 102kg is at rest as shown in the figure. Both pistons have a circular cross-sectional area. The small piston has a diameter of d1 = 0.25 m and the large piston has a diameter d2 = 4.5 m. Determine the magnitude of the forceexercised on the small piston.
Chapter 9 Solutions
College Physics
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. 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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- (a) How high will water rise in a glass capillary tube with a 0.500-mm radius? (b) How much gravitational potential energy does the water gain? (c) Discuss possible sources of this energy.arrow_forwardReview. In a water pistol, a piston drives water through a large tube of area A1 into a smaller tube of area A2 as shown in Figure P14.46. The radius of the large tube is 1.00 cm and that of the small tube is 1.00 mm. The smaller tube is 3.00 cm above the larger tube. (a) If the pistol is fired horizontally at a height of 1.50 m, determine the time interval required for the water to travel from the nozzle to the ground. Neglect air resistance and assume atmospheric pressure is 1.00 atm. (b) If the desired range of the stream is 8.00 m, with what speed v2 must the stream leave the nozzle? (c) At what speed v1 must the plunger be moved to achieve the desired range? (d) What is the pressure at the nozzle? (e) Find the pressure needed in the larger tube. (f) Calculate the force that must be exerted on the trigger to achieve the desired range. (The force that must be exerted is due to pressure over and above atmospheric pressure.) Figure P14.46arrow_forwardA certain hydraulic system is designed to exert a force 100 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses to friction.arrow_forward
- A host pours the remnants of several of wine into a jug a party. The host then inserts a cork with a 2.00-cm diameter into the bottle, placing it in direct contact with the wine. The host is amazed when the host pounds the cork into place and the bottom of the jug (with a 14.0-cm diameter) breaks away. Calculate the extra force exerted against the bottom if he pounded the cork with a 120-N force.arrow_forwardConsider the piston cylinder apparatus shown in Figure P20.81. The bottom of the cylinder contains 2.00 kg of water at just under 100.0c. The cylinder has a radius of r = 7.50 cm. The piston of mass m = 3.00 kg sits on the surface of the water. An electric heater in the cylinder base transfers energy into the water at a rate of 100 W. Assume the cylinder is much taller than shown in the figure, so we dont need to be concerned about the piston reaching the top of the cylinder. (a) Once the water begins boiling, how fast is the piston rising? Model the steam as an ideal gas. (b) After the water has completely turned to steam and the heater continues to transfer energy to the steam at the same rate, how fast is the piston rising?arrow_forwardA vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P18.40). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find the height h in Figure P18.40. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder. Figure P18.40arrow_forward
- 3 8.54arrow_forwardA sphygmomanometer is a device used to measure blood pressure, typically consisting of an inflatable cuff and a manometer used to measure air pressure in the cuff. In a mercury sphygmomanometer, blood pressure is related to the difference in heights between two columns of mercury.The mercury sphygmomanometer shown in Figure P9.15 contains air at the cuff pressure P. The difference in mercury heights between the left tube and the right tube is h = 115 mmHg = 0.115 m, a normal systolic reading. What is the gauge systolic bloodpressure Pgauge in pascals? The density of mercury is p = 13.6 × 103 kg/m3 and the ambient pressure is P0 = 1.01 × 105 Pa. Figure P9.15arrow_forwardPressure cookers have been around for more than 300 years, although their use has greatly declined in recent years (early models had a nasty habit of exploding). How much force must the latches holding the lid onto a pressure cooker be able to withstand if the circular lid is 25.0 cm in diameter and the gauge pressure inside is 300 atm? Neglect the weight of the lid.arrow_forward
- 16.arrow_forwardEd and his friends Edd and Eddy are building a launcher to throw metal slugs up into the air. A 1.35 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger and comes to rest some distance above the plunger. The plastic tube has an inner radius of 2.00 cm and is frictionless. Neither the plunger nor the metal cylinder allows any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 1.25, what is the initial acceleration of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm.arrow_forwardThe plunger of a syringe has an internal diameter of 1.0 cm and the end of the needle has an internal diameter of 0.30 mm. A practitioner squeezes across the plunger very lightly, but no serum is emitted by the needle into a vein. So the practitioner gradually increases the force that she exerts across the plunger and eventually serum begins to be emitted from the needle into the vein. Assuming no friction, what is the minimum net force that the practitioner applies across the plunger in order that serum begins to be emitted from the needle into the vein? Take the pressure of blood in the vein to be 20 mmHg above that of atmospheric pressure. 3.3 N 1.2N 0.21N 0.70 N 1.4 N O 23 Narrow_forward
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