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physics
mechanics
Questions and Answers of
Mechanics
A 71-kg person sits on a 3.9-kg chair. Each leg of the chair makes contact with the floor in a circle that is 1.1 cm in diameter. Find the pressure exerted on the floor by each leg of the chair,
A garden hose with a diameter of 1.6 cm has water flowing in it with a speed of 1.3 m/s and a pressure of 1.5 atmospheres. At the end of the hose is a nozzle with a diameter of 0.64 cm. Find (a) The
Water flows in a cylindrical, horizontal pipe. As the pipe narrows to half its initial diameter, the pressure in the pipe changes.(a) Is the pressure in the narrow region greater than, less than, or
When the body requires an increased blood flow rate in a particular organ or muscle, it can accomplish this by increasing the diameter of arterioles in that area. This is referred to as vasodilation.
(a) Find the volume of blood that flows per second through the pulmonary artery described in Example 15-25.(b) If the radius of the artery is reduced by 18%, by what factor is the blood flow rate
Suppose an occlusion in an artery reduces its diameter by 15%, but the volume flow rate of blood in the artery remains the same. By what factor has the pressure drop across the length of this artery
The viscosity of 5W-30 motor oil changes from 6.4 N ( s/m2 at −30 °C to 0.0090 N ( s/m2 at 100 °C. Model the oil circulation system of a car engine as a tube of radius 5.0 mm and length 2.1 m,
Water at 20 °C flows through a horizontal garden hose at the rate of 5.0 × 10-4 m3/s. The diameter of the garden hose is 2.5 cm.(a) What is the water speed in the hose?(b) What is the pressure drop
A weather glass, as shown in FIGURE 15-45, is used to give an indication of a change in the weather. Does the water level in the neck of the weather glass move up or move down when a low-pressure
A person floats in a boat in a small backyard swimming pool. Inside the boat with the person are some bricks. (a) If the person drops the bricks overboard to the bottom of the pool, does the water
A person floats in a boat in a small backyard swimming pool. Inside the boat with the person are several blocks of wood. Suppose the person now throws the blocks of wood into the pool, where they
To prevent damage to floors (and to increase friction), a crutch will often have a rubber tip attached to its end. If the end of the crutch is a circle of radius 0.95 cm without the tip, and the tip
The three identical containers in FIGURE 15-46 are open to the air and filled with water to the same level. A block of wood floats in container A; an identical block of wood floats in container B,
When a person's blood pressure is taken with a device known as a sphygmomanometer, it is measured on the arm, at approximately the same level as the heart. If the measurement were to be taken on a
A water main broke on Lake Shore Drive in Chicago on November 8, 2002, shooting water straight upward to a height of 8.0 ft. What was the pressure in the pipe?
A useful instrument for evaluating fibromyalgia and trigger-point tenderness is the doloriometer or algorimeter. This device consists of a force meter attached to a circular probe that is pressed
The power output of the heart is given by the product of the average blood pressure, 1.33 N/cm2, and the flow rate, 105 cm3/s. (a) Find the power of the heart. Give your answer in watts. (b) How much
A solid block is suspended from a spring scale. When the block is in air, the scale reads 35.0 N, when immersed in water the scale reads 31.1 N, and when immersed in oil the scale reads 31.8 N. (a)
A wooden block with a density of 710 kg/m3 and a volume of 0.012 m3 is attached to the top of a vertical spring whose force constant is k = 540 N/m. Find the amount by which the spring is stretched
A 1.35-kg wooden block has an iron ball of radius 1.22 cm glued to one side.(a) If the block floats in water with the iron ball "high and dry," what is the volume of wood that is submerged?(b) If the
Evangelista Torricelli (1608-1647) was the first to put forward the idea that we live at the bottom of an ocean of air. (a) Given the value of atmospheric pressure at the surface of the Earth, and
Consider the lightweight containers shown in FIGURE 15-47. Both containers have bases of area Abase = 24 cm2 and depths of water equal to 18 cm. As a result, the downward force on the base of
Suppose that when you ride on your 7.85-kg bike the weight of you and the bike is supported equally by the two tires. If the gauge pressure in the tires is 70.2 lb/in2 and the area of contact between
Consider the two lightweight containers shown in FIGURE 15-48. As in the previous problem, these containers have equal forces on their bases but contain different weights of water. This is another
A backyard swimming pool is circular in shape and contains water to a uniform depth of 42 cm. It is 2.4 m in diameter and is not completely filled. (a) What is the pressure at the bottom of the
A prospector finds a solid rock composed of granite (( = 2650 kg/m3) and gold. If the volume of the rock is 3.84 × 10-4 m3, and its mass is 3.40 kg,(a) What mass of gold is contained in the rock?
(a) If the tension in the string in Example 15-12 is 0.89 N, what is the volume of the wood? Assume that everything else remains the same.(b) If the string breaks and the wood floats on the surface,
A siphon is a device that allows water to flow from one level to another. The siphon shown in FIGURE 15-49 delivers water from an irrigation canal to a field of crops. To operate the siphon, water is
The density of raw milk at body temperature is 1023 kg/m3. After being extracted from the cow, the milk is pumped through a pipe to the bottom of a cooling tank filled to a depth of h = 1.8 m (FIGURE
A tin can is filled with water to a depth of 39 cm. A hole 11 cm above the bottom of the can produces a stream of water that is directed at an angle of 36° above the horizontal. Find(a) The range
A person weighs 685 N in air but only 497 N when standing in water up to the hips. Find(a) The volume of each of the person's legs and(b) The mass of each leg, assuming they have a density that is
Rain-cooled air near the core of a thunderstorm sinks and then spreads out in front of the storm in a forward flank downdraft gust front (FIGURE 15-51). These gusts can vary from a cool breeze to a
A horizontal pipe carries oil whose coefficient of viscosity is 0.00012 N · s/m2. The diameter of the pipe is 5.2 cm, and its length is 55 m. (a) What pressure difference is required between the
Updrafts of air allow hawks and eagles to glide effortlessly, all the while gaining altitude. What causes the updrafts?
Object 2 has twice the emissivity of object 1, though they have the same size and shape. If the two objects radiate the same power, what is the ratio of their Kelvin temperatures?
If the glass in a glass thermometer had the same coefficient of volume expansion as mercury, the thermometer would not be very useful. Explain.
The temperature inside a freezer is 22 °F and the temperature outside is 42 °F. The temperature difference is 20 F°.(a) Is the temperature difference ΔT in degrees Celsius greater than,
We know that -40 °C corresponds to -40 °F. What temperature has the same value in both the Fahrenheit and Kelvin scales?
At what temperature is the reading on a Fahrenheit scale twice the reading on a Celsius scale?
When the bulb of a constant-volume gas thermometer is placed in a beaker of boiling water at 100 °C, the pressure of the gas is 227 mmHg. When the bulb is moved to an ice-salt mixture, the
Bimetallic strip A is made of copper and steel; bimetallic strip B is made of aluminum and steel. (a) Referring to Table 16-1, which strip bends more for a given change in temperature?(b) Which
Referring to Table 16-1, which would be more accurate for all season outdoor use: a tape measure made of steel or one made of aluminum?Table 16-1
A brass plate has a circular hole whose diameter is slightly smaller than the diameter of an aluminum ball. If the ball and the plate are always kept at the same temperature, (a) Should the
FIGURE 16-25 shows five metal plates, all at the same temperature and all made from the same material. They are all placed in an oven and heated by the same amount. Rank the plates in order of
The world's longest suspension bridge is the Akashi Kaikyo Bridge in Japan. The bridge is 3910 m long and is constructed of steel. How much longer is the bridge on a warm summer day (30.0 °C) than
A vinyl siding panel for a house is installed on a day when the temperature is 15.6°C. If the coefficient of thermal expansion for vinyl siding is 55.8 × 10-6 K-1, how much room (in mm) should the
A cylinder bore in an aluminum engine block has a diameter of 96.00 mm at 20.00 °C. (a) What is the diameter of the bore when the engine operates at 119.0 °C? (b) At what temperature is the
The official record for the lowest temperature ever recorded on Earth was set at Vostok, Antarctica, on July 21, 1983. The temperature on that day fell to -89.2 °C, well below the temperature of dry
It is desired to slip an aluminum ring over a steel bar (FIGURE 16-26). At 10.00 °C the inside diameter of the ring is 4.000 cm and the diameter of the rod is 4.040 cm.(a) In order for the ring to
At 18.75 °C a brass sleeve has an inside diameter of 2.21988 cm and a steel shaft has a diameter of 2.22258 cm. It is desired to shrink-fit the sleeve over the steel shaft.(a) To what temperature
Early in the morning, when the temperature is 5.5 °C, gasoline is pumped into a car's 53-L steel gas tank until it is filled to the top. Later in the day the temperature rises to 27 °C. Since the
Some cookware has a stainless steel interior (a = 17.3 × 10-6 K-1) and a copper bottom (a = 17.0 × 10-6 K-1) for better heat distribution. Suppose an 8.0-in. pot of this construction is heated to
You construct two wire-frame cubes, one using copper wire, the other using aluminum wire. At 23 °C the cubes enclose equal volumes of 0.016 m3. (a) If the temperature of the cubes is increased,
A metal ball that is 1.2 m in diameter expands by 2.2 mm when the temperature is increased by 95 °C.(a) What is the coefficient of thermal expansion for the ball?(b) What substance is this ball
A copper ball with a radius of 1.7 cm is heated until its diameter has increased by 0.16 mm. Assuming an initial temperature of 21 °C, find the final temperature of the ball.
An aluminum saucepan with a diameter of 23 cm and a height of 6.0 cm is filled to the brim with water. The initial temperature of the pan and water is 19 °C. The pan is now placed on a stove burner
When people sleep, their metabolic rate is about 2.6 × 10-4 C/(s • kg). How many Calories does an 81-kg person metabolize while getting a good night's sleep of 8.5 h?
An exercise machine indicates that you have worked off 2.1 Calories in a minute-and-a-half of running in place. What was your power output during this time? Give your answer in both watts and
Incandescent lightbulbs heat a tungsten filament to a temperature of about 4580°F, which is almost half as hot as the surface of the Sun. What is this temperature in degrees Celsius?
A certain sandwich cookie contains 53 C of nutritional energy. (a) For what amount of time must you swim in order to work off three cookies if swimming consumes 540 C/h? (b) Instead of swimming you
During a workout, a person repeatedly lifts a 16-lb barbell through a distance of 1.1 ft. How many "reps" of this lift are required to work off 150 C?
Consider the apparatus that Joule used in his experiments on the mechanical equivalent of heat, shown in Figure 16-12. Suppose both blocks have a mass of 0.95 kg and that they fall through a distance
It was shown in Example 16-18 that a typical person radiates about 62 W of power at room temperature. Given this result, how much time does it take for a person to radiate away the energy acquired by
Two objects are made of the same material but have different temperatures. Object 1 has a mass m, and object 2 has a mass 2m. If the objects are brought into thermal contact,(a) Is the temperature
A certain amount of heat is transferred to 2 kg of aluminum, and the same amount of heat is transferred to 1 kg of ice. Referring to Table 16-2,(a) Is the increase in temperature of the aluminum
Suppose 72.3 J of heat are added to a 101-g piece of aluminum at 20.5 °C. What is the final temperature of the aluminum?
Estimate the heat required to heat a 0.15-kg apple from 12 °C to 36 °C. (Assume the apple is mostly water.)
A 9.7-g lead bullet is fired into a fence post. The initial speed of the bullet is 720 m/s, and when it comes to rest, half its kinetic energy goes into heating the bullet. How much does the bullet's
Thermal energy is added to 150 g of water at the rate of 55 J/s for 2.5 min. How much does the temperature of the water increase?
Normal body temperature for humans is 98.6 °F. What is the corresponding temperature in (a) Degrees Celsius (b) Kelvins?
Silver pellets with a mass of 1.0 g and a temperature of 85 °C are added to 220 g of water at 14 °C.(a) How many pellets must be added to increase the equilibrium temperature of the system to 25
A 225-g lead ball at a temperature of 81.2 °C is placed in a light calorimeter containing 155 g of water at 20.3 °C. Find the equilibrium temperature of the system.
If 2200 J of heat are added to a 190-g object, its temperature increases by 12 C°. (a) What is the heat capacity of this object? (b) What is the object's specific heat?
Tortilla chips are manufactured by submerging baked and partially cooled masa at 41 °C into corn oil at 182 °C. (a) If the specific heat of masa is 1850 J/(kg • K), how much thermal energy is
A 117-g lead ball is dropped from rest from a height of 7.62 m. The collision between the ball and the ground is totally inelastic. Assuming all the ball's kinetic energy goes into heating the ball,
To determine the specific heat of an object, a student heats it to 100 °C in boiling water. She then places the 34.5-g object in a 151-g aluminum calorimeter containing 114 g of water. The
A student drops a 0.33-kg piece of steel at 42 °C into a container of water at 22 °C. The student also drops a 0.51-kg chunk of lead into the same container at the same time. The temperature of the
A ceramic coffee cup, with m = 116 g and c = 1090 J/(kg • K), is initially at room temperature (24.0 °C). If 225 g of 80.3 °C coffee and 12.2 g of 5.00 °C cream are added to the cup, what is the
In a popular lecture demonstration, a sheet of paper is wrapped around a rod that is made from wood on one half and metal on the other half. If held over a flame, the paper on one half of the rod is
Figure 16-27 shows a composite slab of three different materials with equal thickness but different thermal conductivities. The opposite sides of the composite slab are held at the fixed temperatures
The temperature at the surface of the Sun is about 6000 K. Convert this temperature to the(a) Celsius(b) Fahrenheit scales.
Heat is transferred from an area where the temperature is 20 °C to an area where the temperature is 0 °C through a composite slab consisting of four different materials, each with the same
Two identical bowls of casserole need to be kept warm. The cook covers bowl 1 with transparent plastic wrap and bowl 2 with shiny aluminum foil, in each case trapping a layer of air between the
Two bowls of soup with identical temperatures are placed on a table. Bowl 1 has a metal spoon in it; bowl 2 does not. After a few minutes, is the temperature of the soup in bowl 1 greater than, less
A glass window 0.33 cm thick measures 81 cm by 39 cm. How much heat flows through this window per minute if the inside and outside temperatures differ by 13 C°?
Assuming your skin temperature is 37.2 °C and the temperature of your surroundings is 20.0 °C, determine the length of time required for you to radiate away the energy gained by eating a 278-C ice
Find the heat that flows in 1.0 s through a lead brick 25 cm long if the temperature difference between the ends of the brick is 8.5 C°. The cross-sectional area of the brick is 14 cm2.
Consider a double-paned window consisting of two panes of glass, each with a thickness of 0.500 cm and an area of 0.725 m2, separated by a layer of air with a thickness of 1.75 cm. The temperature on
Two metal rods of equal length-one aluminum, the other stainless steel-are connected in parallel with a temperature of 20.0 °C at one end and 118 °C at the other end. Both rods have a circular
Two cylindrical metal rods-one copper, the other lead-are connected in parallel with a temperature of 21.0°C at one end and 112°C at the other end. Both rods are 0.650 m in length, and the lead rod
Two metal rods-one lead, the other copper- are connected in series, as shown in FIGURE 16-29. These are the same two rods that were connected in parallel in Example 16-16. Note that each rod is 0.525
One day you notice that the outside temperature increased by 17 F° between your early morning jog and your lunch at noon. What is the corresponding change in temperature in the(a) Celsius(b) Kelvin
Consider two cylindrical metal rods with equal cross section-one lead, the other aluminum-connected in series. The temperature at the lead end of the rods is 22.5 °C; the temperature at the aluminum
A copper rod 85 cm long is used to poke a fire. The hot end of the rod is maintained at 115 °C and the cool end has a constant temperature of 22°C. What is the temperature of the rod 25 cm from the
Two identical objects are placed in a room at 24 °C. Object 1 has a temperature of 99 °C, and object 2 has a temperature of 27 °C. What is the ratio of the net power emitted by object 1 to that
A block has the dimensions L, 2L, and 3L. When one of the L × 2L faces is maintained at the temperature T1 and the other L × 2L face is held at the temperature T2, the rate of heat conduction
A pendulum is made from an aluminum rod with a mass attached to its free end. If the pendulum is cooled,(a) Does the pendulum's period increase, decrease, or stay the same(b) Choose the best
A copper ring stands on edge with a metal rod placed inside it, as shown in FIGURE 16-30. As this system is heated, will the rod ever touch the top of the ring? Answer yes or no for the case of a rod
Referring to the copper ring in the previous problem, imagine that initially the ring is hotter than room temperature, and that an aluminum rod that is colder than room temperature fits snugly inside
The specific heat of alcohol is about half that of water. Suppose you have 0.5 kg of alcohol at the temperature 20 °C in one container, and 0.5 kg of water at the temperature 30 °C in a second
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