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physics
modern physics
Physics 10th edition David Young, Shane Stadler - Solutions
As the drawing illustrates, a pond has the shape of an inverted cone with the tip sliced off and has a depth of 5.00 m. The atmospheric pressure above the pond is 1.01 × 105 Pa. The circular top surface (radius = R2) and circular bottom surface (radius = R1) of the pond are both parallel to the
A lighter-than-air balloon and its load of passengers and ballast are floating stationary above the earth. Ballast is weight (of negligible volume) that can be dropped overboard to make the balloon rise. The radius of this balloon is 6.25 m. Assuming a constant value of 1.29 kg/m3 for the density
A siphon tube is useful for removing liquid from a tank. The siphon tube is first filled with liquid, and then one end is inserted into the tank. Liquid then drains out the other end, as the drawing illustrates. (a) Using reasoning similar to that employed in obtaining Torricelli's theorem (see
An aneurysm is an abnormal enlargement of a blood vessel such as the aorta. Because of the aneurysm, the normal cross-sectional area A1 of the aorta increases to a value of A2 = 1.7A1. The speed of the blood (ρ = 1060 kg/m3) through a normal portion of the aorta is v1 = 0.40 m/s. Assuming that the
The figure shows a rear view of a loaded two-wheeled wheelbarrow on a horizontal surface. It has balloon tires and a weight W = 684 N, which is uniformly distributed. The left tire has a contact area with the ground of AL = 6.6 Ã 10-4 m2, whereas the right tire is underinflated and has
A father (weight W = 830 N) and his daughter (weight W = 340 N) are spending the day at the lake. They are each sitting on a beach ball that is just submerged beneath the water (see the figure). Concepts: (i) Each ball is in equilibrium, being stationary and having no acceleration. Thus, the net
A person who weighs 625 N is riding a 98-N mountain bike. Suppose that the entire weight of the rider and bike is supported equally by the two tires. If the pressure in each tire is 7.60 × 105 Pa, what is the area of contact between each tire and the ground?
A solid concrete block weighs 169 N and is resting on the ground. Its dimensions are 0.400 m × 0.200 m × 0.100 m. A number of identical blocks are stacked on top of this one. What is the smallest number of whole blocks (including the one on the ground) that can be stacked so that their weight
United States currency is printed using intaglio presses that generate a printing pressure of 8.0 × 104 lb/in.2 A $20 bill is 6.1 in. by 2.6 in. Calculate the magnitude of the force that the printing press applies to one side of the bill.
A 58-kg skier is going down a slope oriented 358 above the horizontal. The area of each ski in contact with the snow is 0.13 m2. Determine the pressure that each ski exerts on the snow.
A suitcase (mass m = 16 kg) is resting on the floor of an elevator. The part of the suitcase in contact with the floor measures 0.50 m × 0.15 m. The elevator is moving upward with an acceleration of magnitude 1.5 m/s2. What pressure (in excess of atmospheric pressure) is applied to the floor
A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 3600 N/m. The piston has a negligible mass and a radius of 0.024 m.(a) When the air beneath the piston is completely
As the initially empty urinary bladder fills with urine and expands, its internal pressure increases by 3300 Pa, which triggers the micturition reflex (the feeling of the need to urinate). The drawing shows a horizontal, square section of the bladder wall with an edge length of 0.010 m. Because the
A cylindrical storage tank has a radius of 1.22 m. When filled to a height of 3.71 m, it holds 14 300 kg of a liquid industrial solvent. What is the density of the solvent?
The Mariana trench is located in the floor of the Pacific Ocean at a depth of about 11 000 m below the surface of the water. The density of seawater is 1025 kg/m3. (a) If an underwater vehicle were to explore such a depth, what force would the water exert on the vehicle's observation window
A meat baster consists of a squeeze bulb attached to a plastic tube. When the bulb is squeezed and released, with the open end of the tube under the surface of the basting sauce, the sauce rises in the tube to a distance h, as the drawing shows. Using 1.013 Ã 105 Pa for the atmospheric
The drawing shows an intravenous feeding. With the distance shown, nutrient solution (Ï = 1030 kg/m3) can just barely enter the blood in the vein. What is the gauge pressure of the venous blood? Express your answer in millimeters of mercury.
The human lungs can function satisfactorily up to a limit where the pressure difference between the outside and inside of the lungs is one-twentieth of an atmosphere. If a diver uses a snorkel for breathing, how far below the water can she swim? Assume the diver is in salt water whose density is
At a given instant, the blood pressure in the heart is 1.6 × 104 Pa. If an artery in the brain is 0.45 m above the heart, what is the pressure in the artery? Ignore any pressure changes due to blood flow.
A mercury barometer reads 747.0 mm on the roof of a building and 760.0 mm on the ground. Assuming a constant value of 1.29 kg/m3 for the density of air, determine the height of the building.
Two identical containers are open at the top and are connected at the bottom via a tube of negligible volume and a valve that is closed. Both containers are filled initially to the same height of 1.00 m, one with water, the other with mercury, as the drawing indicates. The valve is then opened.
The vertical surface of a reservoir dam that is in contact with the water is 120 m wide and 12 m high. The air pressure is one atmosphere. Find the magnitude of the total force acting on this surface in a completely filled reservoir.
A house has a roof with the dimensions shown in the drawing. Determine the magnitude and direction of the net force that the atmosphere applies to the roof when the outside pressure drops suddenly by 75.0 mm of mercury before the air pressure in the attic can adjust. Express your answer in(a)
A barber's chair with a person in it weighs 2100 N. The output plunger of a hydraulic system begins to lift the chair when the barber's foot applies a force of 55 N to the input piston. Neglect any height difference between the plunger and the piston. What is the ratio of the radius of the plunger
Multiple-Concept Example 8 presents an approach to problems of this kind. The hydraulic oil in a car lift has a density of 8.30 × 102 kg/m3. The weight of the input piston is negligible. The radii of the input piston and output plunger are 7.70 × 10-3 m and 0.125 m, respectively. What input force
In the process of changing a flat tire, a motorist uses a hydraulic jack. She begins by applying a force of 45 N to the input piston, which has a radius r1. As a result, the output plunger, which has a radius r2, applies a force to the car. The ratio r2/r1 has a value of 8.3. Ignore the height
A dump truck uses a hydraulic cylinder, as the drawing illustrates. When activated by the operator, a pump injects hydraulic oil into the cylinder at an absolute pressure of 3.54 Ã 106 Pa and drives the output plunger, which has a radius of 0.150 m. Assuming that the plunger remains
The drawing shows a hydraulic chamber with a spring (spring constant = 1600 N/m) attached to the input piston and a rock of mass 40.0 kg resting on the output plunger. The piston and plunger are nearly at the same height, and each has a negligible mass. By how much is the spring compressed from its
The drawing shows a hydraulic system used with disc brakes. The force is applied perpendicularly to the brake pedal. The pedal rotates about the axis shown in the drawing and causes a force to be applied perpendicularly to the input piston (radius = 9.50 Ã 10-3 m) in the master
Neutron stars consist only of neutrons and have unbelievably high densities. A typical mass and radius for a neutron star might be 2.7 × 10-8 kg and 1.2 × 103 m. (a) Find the density of such a star. (b) If a dime (V = 2.0 × 10-7 m3) were made from this material, how much would it weigh (in
The density of ice is 917 kg/m3, and the density of seawater is 1025 kg/m3. A swimming polar bear climbs onto a piece of floating ice that has a volume of 5.2 m3. What is the weight of the heaviest bear that the ice can support without sinking completely beneath the water?
A 0.10-m × 0.20-m × 0.30-m block is suspended from a wire and is completely under water. What buoyant force acts on the block?
A hydrometer is a device used to measure the density of a liquid. It is a cylindrical tube weighted at one end, so that it floats with the heavier end downward. The tube is contained inside a large "medicine dropper," into which the liquid is drawn using the squeeze bulb (see the drawing). For use
A duck is floating on a lake with 25% of its volume beneath the water. What is the average density of the duck?
A paperweight, when weighed in air, has a weight of W = 6.9 N. When completely immersed in water, however, it has a weight of Win water = 4.3 N. Find the volume of the paperweight.
A lost shipping container is found resting on the ocean floor and completely submerged. The container is 6.1 m long, 2.4 m wide, and 2.6 m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface. When the balloon's radius is
A hot-air balloon is accelerating upward under the influence of two forces, its weight and the buoyant force. For simplicity, consider the weight to be only that of the hot air within the balloon, thus ignoring the balloon fabric and the basket. The hot air inside the balloon has a density of ρhot
A hollow cubical box is 0.30 m on an edge. This box is floating in a lake with one-third of its height beneath the surface. The walls of the box have a negligible thickness. Water from a hose is poured into the open top of the box. What is the depth of the water in the box just at the instant that
One end of a wire is attached to a ceiling, and a solid brass ball is tied to the lower end. The tension in the wire is 120 N. What is the radius of the brass ball?
To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in water. She finds that the specimen weighs twice as much in air as it does in water. The density of the solid part of the specimen is 5.0 × 103 kg/m3. What fraction of the specimen's apparent
A spring is attached to the bottom of an empty swimming pool, with the axis of the spring oriented vertically. An 8.00-kg block of wood (ρ = 840 kg/m3) is fixed to the top of the spring and compresses it. Then the pool is filled with water, completely covering the block. The spring is now observed
One kilogram of glass (ρ = 2.60 × 103 kg/m3) is shaped into a hollow spherical shell that just barely floats in water. What are the inner and outer radii of the shell? Do not assume that the shell is thin.
A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 5.88 × 10-2 kg/s. The density of the gasoline is 735 kg/m3, and the radius of the fuel line is 3.18 × 10-3 m. What is the speed at which the gasoline moves through the fuel line?
(a) The volume flow rate in an artery supplying the brain is 3.6 × 10-6 m3/s. If the radius of the artery is 5.2 mm, determine the average blood speed. (b) Find the average blood speed at a constriction in the artery if the constriction reduces the radius by a factor of 3. Assume that the volume
A room has a volume of 120 m3. An air-conditioning system is to replace the air in this room every twenty minutes, using ducts that have a square cross section. Assuming that air can be treated as an incompressible fluid, find the length of a side of the square if the air speed within the ducts is
Water flows straight down from an open faucet. The cross-sectional area of the faucet is 1.8 × 10-4 m2, and the speed of the water is 0.85 m/s as it leaves the faucet. Ignoring air resistance, find the cross-sectional area of the water stream at a point 0.10 m below the faucet.
The aorta carries blood away from the heart at a speed of about 40 cm/s and has a radius of approximately 1.1 cm. The aorta branches eventually into a large number of tiny capillaries that distribute the blood to the various body organs. In a capillary, the blood speed is approximately 0.07 cm/s,
Planners of an experiment are evaluating the design of a sphere of radius R that is to be filled with helium (0 oC, 1 atm pressure). Ultrathin silver foil of thickness T will be used to make the sphere, and the designers claim that the mass of helium in the sphere will equal the mass of silver
Three fire hoses are connected to a fire hydrant. Each hose has a radius of 0.020 m. Water enters the hydrant through an underground pipe of radius 0.080 m. In this pipe the water has a speed of 3.0 m/s. (a) How many kilograms of water are poured onto a fire in one hour by all three hoses? (b)
Water flowing out of a horizontal pipe emerges through a nozzle. The radius of the pipe is 1.9 cm, and the radius of the nozzle is 0.48 cm. The speed of the water in the pipe is 0.62 m/s. Treat the water as an ideal fluid, and determine the absolute pressure of the water in the pipe.
The blood speed in a normal segment of a horizontal artery is 0.11 m/s. An abnormal segment of the artery is narrowed down by an arteriosclerotic plaque to one-fourth the normal cross-sectional area. What is the difference in blood pressures between the normal and constricted segments of the artery?
A small crack occurs at the base of a 15.0-m-high dam. The effective crack area through which water leaves is 1.30 × 10-3 m2. (a) Ignoring viscous losses, what is the speed of water flowing through the crack? (b) How many cubic meters of water per second leave the dam?
Water is circulating through a closed system of pipes in a two-floor apartment. On the first floor, the water has a gauge pressure of 3.4 × 105 Pa and a speed of 2.1 m/s. However, on the second floor, which is 4.0 m higher, the speed of the water is 3.7 m/s. The speeds are different because the
A ship is floating on a lake. Its hold is the interior space beneath its deck; the hold is empty and is open to the atmosphere. The hull has a hole in it, which is below the water line, so water leaks into the hold. The effective area of the hole is 8.0 × 10-3 m2 and is located 2.0 m beneath the
A hand-pumped water gun is held level at a height of 0.75 m above the ground and fired. The water stream from the gun hits the ground a horizontal distance of 7.3 m from the muzzle. Find the gauge pressure of the water gun's reservoir at the instant when the gun is fired. Assume that the speed of
A liquid is flowing through a horizontal pipe whose radius is 0.0200 m. The pipe bends straight upward through a height of 10.0 m and joins another horizontal pipe whose radius is 0.0400 m. What volume flow rate will keep the pressures in the two horizontal pipes the same?
An airplane has an effective wing surface area of 16 m2 that is generating the lift force. In level flight the air speed over the top of the wings is 62.0 m/s, while the air speed beneath the wings is 54.0 m/s. What is the weight of the plane?
The construction of a flat rectangular roof (5.0 m × 6.3 m) allows it to withstand a maximum net outward force that is 22 000 N. The density of the air is 1.29 kg/m3. At what wind speed will this roof blow outward?
A pump and its horizontal intake pipe are located 12 m beneath the surface of a large reservoir. The speed of the water in the intake pipe causes the pressure there to decrease, in accord with Bernoulli's principle. Assuming nonviscous flow, what is the maximum speed with which water can flow
Two circular holes, one larger than the other, are cut in the side of a large water tank whose top is open to the atmosphere. The center of one of these holes is located twice as far beneath the surface of the water as the other. The volume flow rate of the water coming out of the holes is the
A pipe is horizontal and carries oil that has a viscosity of 0.14 Pa ∙ s. The volume flow rate of the oil is 5.3 × 10-5 m3/s. The length of the pipe is 37 m, and its radius is 0.60 cm. At the output end of the pipe the pressure is atmospheric pressure. What is the absolute pressure at the input
In the human body, blood vessels can dilate, or increase their radii, in response to various stimuli, so that the volume flow rate of the blood increases. Assume that the pressure at either end of a blood vessel, the length of the vessel, and the viscosity of the blood remain the same, and
A full can of black cherry soda has a mass of 0.416 kg. It contains 3.54 × 10-4 m3 of liquid. Assuming that the soda has the same density as water, find the volume of aluminum used to make the can.
A blood transfusion is being set up in an emergency room for an accident victim. Blood has a density of 1060 kg/m and a viscosity of 4.0 × 10-3 Pa ∙ s. The needle being used has a length of 3.0 cm and an inner radius of 0.25 mm. The doctor wishes to use a volume flow rate through the needle of
A cylindrical air duct in an air conditioning system has a length of 5.5 m and a radius of 7.2 × 10-2 m. A fan forces air (η = 1.8 × 10-5 Pa ∙ s) through the duct, so that the air in a room (volume = 280 m3) is replenished every ten minutes. Determine the difference in pressure between the
Two hoses are connected to the same outlet using a Y-connector, as the drawing shows. The hoses A and B have the same length, but hose B has the larger radius. Each is open to the atmosphere at the end where the water exits. Water flows through both hoses as a viscous fluid, and Poiseuille's law [Q
When an object moves through a fluid, the fluid exerts a viscous force on the object that tends to slow it down. For a small sphere of radius R, moving slowly with a speed v, the magnitude of the viscous force is given by Stokes' law, F = πηphRv, where η is the viscosity of the fluid. (a)
One way to administer an inoculation is with a "gun" that shoots the vaccine through a narrow opening. No needle is necessary, for the vaccine emerges with sufficient speed to pass directly into the tissue beneath the skin. The speed is high, because the vaccine (ρ = 1100 kg/m3) is held in a
If a scuba diver descends too quickly into the sea, the internal pressure on each eardrum remains at atmospheric pressure, while the external pressure increases due to the increased water depth. At sufficient depths, the difference between the external and internal pressures can rupture an eardrum.
A water bed for sale has dimensions of 1.83 m × 2.13 m × 0.229 m. The floor of the bedroom will tolerate an additional weight of no more than 6660 N. Find the weight of the water in the bed and determine whether the bed should be purchased.
A hypothetical spherical planet consists entirely of iron. What is the period of a satellite that orbits this planet just above its surface?
An underground pump initially forces water through a horizontal pipe at a flow rate of 740 gallons per minute. After several years of operation, corrosion and mineral deposits have reduced the inner radius of the pipe to 0.19 m from 0.24 m, but the pressure difference between the ends of the pipe
A volume of 7.2 m3 of glycerol (η = 0.934 Pa ∙ s) is pumped through a 15-m length of pipe in 55 minutes. The pressure at the input end of the pipe is 8.6 × 105 Pa, and the pressure at the output end is atmospheric pressure. What is the pipe's radius?
(a) The mass and the radius of the sun are, respectively, 1.99 × 1030 kg and 6.96 × 108 m. What is its density?(b) If a solid object is made from a material that has the same density as the sun, would it sink or fl oat in water? Why?(c) Would a solid object sink or fl oat in water if it were made
A log splitter uses a pump with hydraulic oil to push a piston, which is attached to a chisel. The pump can generate a pressure of 2.0 × 107 Pa in the hydraulic oil, and the piston has a radius of 0.050 m. In a stroke lasting 25 s, the piston moves 0.60 m. What is the power needed to operate the
An object is solid throughout. When the object is completely submerged in ethyl alcohol, its apparent weight is 15.2 N. When completely submerged in water, its apparent weight is 13.7 N. What is the volume of the object?
Mercury is poured into a tall glass. Ethyl alcohol (which does not mix with mercury) is then poured on top of the mercury until the height of the ethyl alcohol itself is 110 cm. The air pressure at the top of the ethyl alcohol is one atmosphere. What is the absolute pressure at a point that is 7.10
The following three hot samples have the same temperature. The same amount of heat is removed from each sample. Which one experiences the smallest drop in temperature, and which one experiences the largest drop? Sample A. 4.0 kg of water [c = 4186 J / (kg · Co)] Sample B. 2.0 kg of oil [c = 2700 J
Which one or more of the following techniques can be used to freeze water? A. Cooling the water below its normal freezing point of 0 oC at the normal atmospheric pressure of 1.01 × 105 Pa. B. Cooling the water below its freezing point of -1 oC at a pressure greater than 1.01 × 105 Pa. C. Rapidly
Which of the following three statements concerning relative humidity values of 30% and 40% are true? Note that when the relative humidity is 30%, the air temperature may be different than it is when the relative humidity is 40%. A. It is possible that at a relative humidity of 30% there is a
The drawing shows two thin rods, one made from aluminum [a = 23 Ã 10-6 (Co)-1] and the other from steel [a = 12 Ã 10-6 (Co)-1]. Each rod has the same length and the same initial temperature and is attached at one end to an immovable wall, as shown. The temperatures of the
A ball is slightly too large to fit through a hole in a flat plate. The drawing shows two arrangements of this situation. In Arrangement I the ball is made from metal A and the plate from metal B. When both the ball and the plate are cooled by the same number of Celsius degrees, the ball passes
A solid sphere and a solid cube are made from the same material. The sphere would just fit within the cube, if it could. Both begin at the same temperature, and both are heated to the same temperature. Which object, if either, has the greater change in volume? (a) The sphere. (b) The cube. (c) Both
A container can be made from steel [( = 36 × 10-6 (Co)-1] or lead [β = 87 × 10-6 (Co)-1]. A liquid is poured into the container, filling it to the brim. The liquid is either water [β = 207 × 10-6 (Co)-1] or ethyl alcohol [β = 1120 × 10-6 (Co)-1]. When the full container is heated, some
Which of the following cases (if any) requires the greatest amount of heat? In each case the material is the same. (a) 1.5 kg of the material is to be heated by 7.0 Co. (b) 3.0 kg of the material is to be heated by 3.5 Co. (c) 0.50 kg of the material is to be heated by 21 Co. (d) 0.75 kg of the
A steel section of the Alaskan pipeline had a length of 65 m and a temperature of 18 oC when it was installed. What is its change in length when the temperature drops to a frigid -45 oC?
A wire is made by attaching two segments together, end to end. One segment is made of aluminum and the other is steel. The effective coefficient of linear expansion of the two-segment wire is 19 × 10-6 (Co)-1. What fraction of the length is aluminum?
An insulated container is partly filled with oil. The lid of the container is removed, 0.125 kg of water heated to 90.0 oC is poured in, and the lid is replaced. As the water and the oil reach equilibrium, the volume of the oil increases by 1.20 × 10-5 m3. The density of the oil is 924 kg/m3, its
A steel bicycle wheel (without the rubber tire) is rotating freely with an angular speed of 18.00 rad/s. The temperature of the wheel changes from -100.0 to +300.0 oC. No net external torque acts on the wheel, and the mass of the spokes is negligible.(a) Does the angular speed increase or decrease
The figure shows a swimming pool on a sunny day. If the water absorbs 2.00 Ã 109 J of heat from the sun, what is the change in volume of the water?
The figure shows three rectangular blocks made from the same material. The initial dimensions of each are expressed as multiples of D, where D = 2.00 cm. The blocks are heated and their temperatures increase by 35.0 o8. The coefficients of linear and volume expansion are a = 1.50 Ã
Objects A and B in the figure are made from copper, but the mass of object B is three times that of object A. Object C is made from glass and has the same mass as object B. The same amount of heat Q is supplied to each one: Q = 14 J.Concepts:(i) Which object, A or B, experiences a greater rise in
The Eiffel Tower is a steel structure whose height increases by 19.4 cm when the temperature changes from -9 to +41 oC. What is the approximate height (in meters) at the lower temperature?
One January morning in 1943, a warm chinook wind rapidly raised the temperature in Spearfish, South Dakota, from below freezing to +12.0 oC. As the chinook died away, the temperature fell to -20.0 oC in 27.0 minutes. Suppose that a 19-m aluminum flagpole were subjected to this temperature change.
One rod is made from lead and another from quartz. The rods are heated and experience the same change in temperature. The change in length of each rod is the same. If the initial length of the lead rod is 0.10 m, what is the initial length of the quartz rod?
A thin rod consists of two parts joined together. One-third of it is silver and two-thirds is gold. The temperature decreases by 26 Co. Determine the fractional decrease (L / L0,Silver + L0, Gold in the where L0, Silver and L0, Gold are the initial lengths of the silver and gold rods?
The brass bar and the aluminum bar in the drawing are each attached to an immovable wall. At28 oC the air gap between the rods is 1.3 Ã 10-3 m. At what temperature will the gap be closed?
You are sick, and your temperature is 312.0 kelvins. Convert this temperature to the Fahrenheit scale?
As the drawing shows, two thin strips of metal are bolted together at one end; both have the same temperature. One is steel, and the other is aluminum. The steel strip is 0.10% longer than the aluminum strip. By how much should the temperature of the strips be increased, so that the strips have the
Consult Multiple-Concept Example 4 for insight into solving this problem. A copper rod is fastened securely at both ends to immovable supports. When this rod is stretched, it will rupture when a tensile stress of 2.3 × 107 N/m2 is applied at each end. The rod just fits between the supports, so
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