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A 150-lbm astronaut took his bathroom scale (a spring scale and a beam scale (compares masses) to the moon where the local gravity is g = 5.48 ft/s2.
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A 20-m3 tank contains nitrogen at 25°C and 800 kPa. Some nitrogen is allowed to escape until the pressure in the tank drops to 600 kPa.
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A 200-pound man has a total foot imprint area of 72 in2. Determine the pressure this man exerts on the ground if (a) he stands on both feet and (b) he stands on one foot.
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A 3-kg plastic tank that has a volume of 0.2 m3 is filled with liquid water. Assuming the density of water is 1000 kg/m3, determine the weight of the combined system.
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A 3-kg rock is thrown upward with a force of 200 N at a location where the local gravitational acceleration is 9.79 m/s2. Determine the acceleration of the rock, in m/s2.
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A 4-kW resistance heater in a water heater runs for 3 hours to raise the water temperature to the desired level. Determine the amount of electric energy used in both kWh and kJ.
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A gas is contained in a vertical, frictionless piston–cylinder device. The piston has a mass of 4 kg and a cross-sectional area of 35 cm2. A compressed spring above the piston exerts a force of 60 N on the piston.
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A glass tube is attached to a water pipe. If the water pressure at the bottom of the tube is 115 kPa and the local atmospheric pressure is 92 kPa, determine how high the water will rise in the tube, in m.
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A manometer is used to measure the air pressure in a tank. The fluid used has a specific gravity of 1.25, and the differential height between the two arms of the manometer is 28 in. If the local atmospheric pressure is 12.7 psia,
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A pressure cooker cooks a lot faster than an ordinary pan by maintaining a higher pressure and temperature inside. The lid of a pressure cooker is well sealed, and steam can escape only through an opening in the middle of the lid.
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A pressure gage connected to a tank reads 50 psi at a location where the barometric reading is 29.1 in Hg.
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A pressure gage connected to a tank reads 500 kPa at a location where the atmospheric pressure is 94 kPa. Determine the absolute pressure in the tank.
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A rigid tank contains 20 lbm of air at 20 psia and 70°F.
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A solid steel ball can float on water due to the surface tension effect. Determine the maximum diameter of a steel ball that would float on water at 20°C.
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A vacuum gauge connected to a tank reads 30 kPa at a location where the barometric reading is 755 mm Hg.
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A vertical, frictionless piston–cylinder device contains a gas at 500 kPa. The atmospheric pressure outside is 100 kPa, and the piston area is 30 cm2. Determine the mass of the piston.
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An air-conditioning system requires a 20-m-long section of 15-cm-diameter ductwork to be laid underwater. Determine the upward force the water will exert on the duct.
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At 45° latitude, the gravitational acceleration as a function of elevation z above sea level is given by g = a 2-bz, where a 5=9.807 m/s2 and b = 3.32 3 1026 s22.
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Balloons are often filled with helium gas because it weighs only about one-seventh of what air weighs under identical conditions. The buoyancy force, which can be expressed as Fb =pairgVballoon, will push the balloon upward.
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Blood pressure is usually measured by wrapping a closed air-filled jacket equipped with a pressure gage around the upper arm of a person at the level of the heart. Using a mercury manometer and a stethoscope...
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Both a gage and a manometer are attached to a gas tank to measure its pressure. If the reading on the pressure gage is 80 kPa, determine the distance between the two fluid levels of the manometer if the fluid is (a) mercury (b) water.
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Consider a 1.8-m-tall man standing vertically in water and completely submerged in a pool. Determine the difference between the pressures acting at the head and at the toes of this man, in kPa.
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Consider a 70-kg woman who has a total foot imprint area of 400 cm2. She wishes to walk on the snow, but the snow cannot withstand pressures greater than 0.5 kPa.
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Determine the pressure exerted on the surface of a submarine cruising 175 ft below the free surface of the sea. Assume that the barometric pressure is 14.7 psia and the specific gravity of seawater is 1.03
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Evaluate the surface integral. ∫∫S(x2z +y2z) dS S is the hemisphere x2 +y2 + z2 = 9, z ≥ 0.
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find the general solution of the given differential equation: xdy/dx-y=x^2sinx
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Nutrients dissolved in water are carried to upper parts of plants by tiny tubes partly because of the capillary effect.
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The absolute pressure in water at a depth of 9 m is read to be 185 kPa. Determine (a) the local atmospheric pressure, and (b) the absolute pressure at a depth of 5 m in a liquid whose specific gravity is 0.85 at the same location.
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The absolute pressure of an automobile tire is measured to be 290 kPa before a trip and 310 kPa after the trip.
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The air in an automobile tire with a volume of 0.53 ft3 is at 90°F and 20 psig. Determine the amount of air that must be added to raise the pressure to the recommended value of 30 psig.
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The average atmospheric pressure on earth is approximated as a function of altitude by the relation Patm = 101.325 (1 - 0.02256z)5.256, where Patm is the atmospheric pressure in kPa and z is the altitude in km with z " 0 at sea level.
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The barometer of a mountain hiker reads 750 mbars at the beginning of a hiking trip and 650 mbars at the end. Neglecting the effect of altitude on local gravitational acceleration, determine the vertical distance climbed.
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The barometer of a mountain hiker reads 930 mbars at the beginning of a hiking trip and 780 mbars at the end. Neglecting the effect of altitude on local gravitational acceleration, determine the vertical distance climbed.
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The basic barometer can be used as an altitudemeasuring device in airplanes. The ground control reports a barometric reading of 753 mmHg while the pilot’s reading is 690 mmHg.
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The basic barometer can be used to measure the height of a building. If the barometric readings at the top and at the bottom of a building are 730 and 755 mmHg, respectively, determine the height of the building.
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The gage pressure in a liquid at a depth of 3 m is read to be 42 kPa. Determine the gage pressure in the same liquid at a depth of 9 m
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The lower half of a 10-m-high cylindrical container is filled with water (density =1000 kg/m3) and the upper half with oil that has a specific gravity of 0.85.
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The maximum blood pressure in the upper arm of a healthy person is about 120 mmHg. If a vertical tube open to the atmosphere is connected to the vein in the arm of the person. determine how high the blood will rise in the tube.
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The pressure in a compressed air storage tank is 1200 kPa. What is the tank’s pressure in (a) kN and m units; (b) kg, m, and s units; and (c) kg, km, and s units?
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The pressure in a steam boiler is given to be 75 kgf/cm2. Express this pressure in psi, kPa, atm, and bars.
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The pressure in an automobile tire depends on the temperature of the air in the tire.
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The pressure on the suction side of pumps is typically low, and the surfaces on that side of the pump are susceptible to cavitation, especially at high fluid temperatures.
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The surface tension of a liquid is to be measured using a liquid film suspended on a U-shaped wire frame with an 8-cm-long movable side.
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The viscosity of a fluid is to be measured by a viscometer constructed of two 3-ft long concentric cylinders.
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The water in a tank is pressurized by air, and the pressure is measured by a multifluid manometer as shown in Fig. P1–50. Determine the gage pressure of air in the tank if h1 5 0.2 m, h2 5 0.3 m, and h3 5 0.4 m.
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What is the temperature of the heated air at 150°C in °F and R?
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Which of the following statements regarding entropy is false?
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