A double-pane insulated window unit consists of two 1-cm-thick pieces of glass separated by a 1.8 cm layer of air. The unit measures 4 m in width and is 3 m wide. Under conditions where the extreme...

Determine the percent in heat flux if, in addition to the conditions specified in Problem 17.11, there are two 3/4-in.- diameter steel bolts extending through the wall per square foot of wall area (k...

Radioactive waste (k = 20 W/m K) is stored in a cylindrical stainless steel (k = 15W/m K) container with inner and outer diameters of 1.0 and 1.2 m, respectively. Thermal energy is generated...

Water, initially at 40F, is contained within a thin-walled cylindrical vessel having a diameter of 18 in. Plot the temperature of the water vs. time up to 1 h if the water and container are immersed...

Soil, having a thermal diffusivity of 5.16 10 -7 m 2 /s, has its surface temperature suddenly raised and maintained at 1100 K from its initial uniform value of 280 K. Determine the temperature at a...

Consider a section of muscle tissue of cylindrical shape with a radius of 1.5 cm. During highly rigorous exercise, metabolic processes generate 15 kW/m 3 of bulk tissue. The outer surface of the...

If the heat flux into a solid is given as F(t), show that the penetration depth d for a semi-infinite solid is of the form 1/2 [LF(1)di] F(t) 8 = (constant)/a

A masonry brick wall 0.45 m thick has a temperature distribution at time, t = 0 which may be approximated by the expression T(K) = 520 + 330 sin (x/L) where L is the wall width and x is the distance...

It is known that oranges can be exposed to freezing temperatures for short periods of time without sustaining serious damage. As a representative case, consider a 0.10-m-diameter orange, originally...

This problem involves using heat-transfer principles as a guide for cooking a pork roast. The roast is to be modeled as a cylinder, having its length and diameter equal to each other, with properties...

Work Problem 19.29 for the case in which the flowing fluid is air at 15 fps. Data From Problem 19.29 Water at 60F enters a 1-in.-ID tube that is used to cool a nuclear reactor. The water flow rate is...

A 2-in. copper cylinder, 6 in. in length, at a uniform temperature of 200F, is plunged vertically into a large tank of water at 50F. a. How long will it take for the outside surface of the cylinder...

A newly cast polymer sheet is laid down on a moving conveyer belt to cool. A side view of the process is shown below. The polymer sheet measures 2 m by 1.5 m and is 1.5 mm thick. Because the conveyer...

Shown in the figure is the case of a fluid flowing parallel to a flat plate, where for a distance X from the leading edge, the plate and fluid are at the same temperature. For values of x > X, the...

A solar energy collector measuring 20 20 ft is installed on a roof in a horizontal position. The incident solar energy flux is 200 Btu/h ft 2 , and the collector surface temperature is 150F. What...

When the valve on the water line in Problem 20.38 is opened wide, the water velocity is 35 fps. What is the heat loss per 5 ft of water line in this case if the water and pipe temperatures are the...

Air at atmospheric pressure and 10C enters a rectangular duct that is 6 m long having dimensions of 7.5 and 15 cm in cross section. The surfaces are maintained at 70C by solar irradiation. If the...

Consider a continuous-flow device described below used to pasteurize liquid milk, whose properties approach those of water. Milk at 20C enters a preheater tube at a volumetric flow rate of 6 L/min....

Four immersion heaters in the shape of cylinders 15 cm long and 2 cm in diameter are immersed in a water bath at 1 atm total pressure. Each heater is rated at 500 W. If the heaters operate at rated...

A circular pan has its bottom surface maintained at 200F and is situated in saturated steam at 212F. Construct a plot of condensate depth in the pan vs. time up to 1 h for this situation. The sides...

A square pan with sides measuring 1 ft and a perpendicular lip extending 1 in. above the base is oriented with its base at an angle of 20 degrees from the horizontal. The pan surface is kept at 180F...

A shell-and-tube heat exchanger with two shell passes and four tube passes is used to exchange energy between two pressurized water streams. One stream flowing at 5000 lb m /h is heated from 75 to...

The sun is approximately 93 million miles distant from Earth, and its diameter is 860,000 miles. On a clear day solar irradiation at Earths surface has been measured at 360 Btu/h ft 2 and an...

The circular base of the cylindrical enclosure shown may be considered a re-radiating surface. The cylindrical walls have an effective emissivity of 0.80 and are maintained at 540°F. The top of...

A shell-and-tube heat exchanger is used for the heating of oil from 20C to 30C ; the oil flow rate is 12 kg/s (C po = 2.2 kJ/kg K). The heat exchanger has one shell pass and two tube passes. Hot...

The StokesEinstein equation is often used to estimate the molecular diameter of large spherical molecules from the molecular diffusion coefficient. The measured molecular diffusion coefficient of the...

The diffusion of oxygen (O 2 ) through living tissue is often first approximated as the diffusion of dissolved O 2 in liquid water. Estimate the diffusion coefficient of O 2 in water by the...

The hemispherical cavity shown in the figure has an inside surface temperature of 700 K. A plate of refractory material is placed over the cavity with a circular hole of 5 cm diameter in the center....

A cylindrical cavity is closed at the bottom and has an opening centered in the top surface. A cross section of this configuration is shown in the sketch. For the conditions stated below, determine...

Tetrachlorosilane (SiCl 4 ) gas is reacted with hydrogen gas (H 2 ) to produce electronic-grade polycrystalline silicon at 800C and 1.5 10 5 Pa according to the reaction equation: SiCl 4 (g) + 2H 2...

A gas separation process has been proposed to remove selectively two pollutants, hydrogen sulfide (H 2 S) and sulfur dioxide (SO 2 ), from an exhaust gas stream containing 3.0 mole% H 2 S, 5.0 mole%...

Compare the effective diffusion coefficient for a dilute mixture of oxygen gas (O 2 , species A) in nitrogen gas (N 2 , species B) at 20C and 1.0 atm within the following materials: a. Straight 10 nm...

A microchannel reactor is being developed for the reforming of methane gas (CH 4 ) to CO 2 and H 2 gas using steam (H 2 O vapor) at high temperature. Prior to entering the reforming reactor, CH 4...

Show that the (25-11) may be written in the form + (V-Pav) DABV 3D r

The electric potential in a region of space is V = 200/x 2 + y 2 , where x and y are in meters. What are the strength and direction of the electric field at (x, y) = (2.0 m, 1.0 m)? Give the...

One hundred thousand pounds per hour of water are to pass through a heat exchanger, which is to raise the water temperature from 140 to 200F. Combustion products having a specific heat of 0.24 Btu/lb...

A preheated piece of mild steel, having an initial concentration of 0.20% by weight of carbon, is exposed to a carbonizing atmosphere for 1.0 h. Under the processing conditions, the surface...

A common process for increasing the moisture content of air is to bubble it through a column of water. The air bubbles are assumed to be spheres having a radius of 1.0 mm, and are in thermal...

A 10-cm-long spring is attached to the ceiling. When a 2.0 kg mass is hung from it, the spring stretches to a length of 15 cm. a. What is the spring constant? b. How long is the spring when a 3.0 kg...

A 60 kg student is standing atop a spring in an elevator as it accelerates upward at 3.0 m/s 2 . The spring constant is 2500 N/m. By how much is the spring compressed?

A flat surface containing many parallel pores is clogged with coke from a manufacturing process, as shown in the figure below. Pure oxygen gas (O 2 ) at high temperature is used to oxidize the coke,...

a. Starting from rest, a crate of mass m is pushed up a frictionless slope of angle by a horizontal force of magnitude F. Use work and energy to find an expression for the crates speed v when it is...

A 50 g rock is placed in a slingshot and the rubber band is stretched. The magnitude of the force of the rubber band on the rock is shown by the graph in FIGURE P9.55. The rubber band is stretched 30...

A common procedure for increasing the moisture content of air is to bubble it through a column of water. The air bubbles are assumed to be spheres, each having a radius of 1.0 mm, and are in thermal...

A novel metal ion adsorbent material based on the bio polymer poly glucosamine is cast into a gel bead. The amine groups on the bio polymer have a high affinity for transition metal ions at...

A polymer coating of 6.0 mm thickness is cast onto a nonporous flat surface. The coating contains a residual amount of casting solvent, which is uniform at 1.0 wt % within the coating. The mass...

Consider a rectangular-shaped gel tablet of thickness 0.125 cm and width 0.50 cm. The edges of the gel tablet are sealed so that diffusion only occurs along the thickness of the tablet. The initial...

The 10.2 kg block in FIGURE P7.37 is held in place by a force applied to a rope passing over two massless, frictionless pulleys. Find the tensions T 1 to T 5 and the magnitude of force F. T4 T2 Ts ,...

Jasmone (molecular formula C 11 H 16 O) is a valuable specialty chemical that is obtained from the jasmine plant. A common method of manufacture is to extract the plant material in water, and then...

Estimate the electric fields E 1 and E 2 at points 1 and 2 in Figure Q26.5. Dont forget that E is a vector. OV 10 V 20 V 30 V 40 V 2 0m 2 m 3 m 4 m FIGURE Q26.5

Consider a lightbulb circuit such as the one in Figure Q27.1. a. From the simple observations and measurements you can make on this circuit, can you distinguish a current composed of positive charge...

What is the difference between current and current density?

All the wires in Figure Q27.6 are made of the same material and have the same diameter. Rank in order, from largest to smallest, the currents I a to I d . Explain.

A system of two objects has K tot = 7 J and U int = -5 J. a. How much work is done by interaction forces? b. How much work is done by external forces?

A 1500 kg car traveling at 10 m/s suddenly runs out of gas while approaching the valley shown in FIGURE EX10.11. The alert driver immediately puts the car in neutral so that it will roll.What will be...

FIGURE EX10.24 is the potential-energy diagram for a 20 g particle that is released from rest at x = 1.0 m. a. Will the particle move to the right or to the left? b. What is the particles maximum...

In FIGURE EX10.26, what is the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm? U (J) 5- 4 3- 2- 0+ x (mm) 4 FIGURE EX10.26

A particle moving along the y-axis is in a system with potential energy U = 4y 3 J, where y is in m. What is the y-component of the force on the particle at y = 0 m, 1 m, and 2 m?

A particle moving along the x-axis is in a system with potential energy U = 10/x J, where x is in m. What is the x-component of the force on the particle at x = 2 m, 5 m, and 8 m?

What is the final kinetic energy of the system for the process shown in FIGURE EX10.38? E (J) 4 3 K; + U; + Wext = K; + U; + AE FIGURE EX10.38

A cable with 20.0 N of tension pulls straight up on a 1.50 kg block that is initially at rest. What is the blocks speed after being lifted 2.00 m? Solve this problem using work and energy.

A 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it 50 cm. What is the spring constant of the spring?

A freight company uses a compressed spring to shoot 2.0 kg packages up a 1.0-m-high frictionless ramp into a truck, as FIGURE P10.51 shows. The spring constant is 500 N/m and the spring is compressed...

a. A 50 g ice cube can slide without friction up and down a 30 slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 10 cm. The spring constant is 25 N/m....

The spring shown in FIGURE P10.54 is compressed 50 cm and used to launch a 100 kg physics student. The track is frictionless until it starts up the incline. The student??s coefficient of kinetic...

In a physics lab experiment, a compressed spring launches a 20 g metal ball at a 30 angle. Compressing the spring 20 cm causes the ball to hit the floor 1.5 m below the point at which it leaves the...

The spring in FIGURE CP10.73 has a spring constant of 1000 N/m. It is compressed 15 cm, then launches a 200 g block. The horizontal surface is frictionless, but the blocks coefficient of kinetic...

What impulse does the force shown in FIGURE EX11.3 exert on a 250 g particle? F, (N) 1000- -t (ms) 6. 0+ 2 4 FIGURE EX11.3

FIGURE EX11.6 is an incomplete momentum bar chart for a collision that lasts 10 ms. What are the magnitude and direction of the average collision force exerted on the object? kg m/s 2 - 0- -2 - -4-...

A proton is traveling to the right at 2.0 10 7 m/s. It has a headon perfectly elastic collision with a carbon atom. The mass of the carbon atom is 12 times the mass of the proton. What are the speed...

FIGURE P11.71 shows a collision between three balls of clay. The three hit simultaneously and stick together. What are the speed and direction of the resulting blob of clay? 40 g JASO 45 4.0 m/s 3.0...

If the angular velocity Ï is held constant, by what factor must R change to double the rotational kinetic energy of the dumbbell in FIGURE Q12.2? , R M2 FIGURE Q12.2

A skater holds her arms outstretched as she spins at 180 rpm. What is the speed of her hands if they are 140 cm apart?

The moment of inertia of a uniform rod about an axis through its center is 1/12 mL 2 . The moment of inertia about an axis at one end is 1/3 mL 2 . Explain why the moment of inertia is larger about...

The three masses shown in Figure EX12.6 are connected by massless, rigid rods. What are the coordinates of the center of mass? 200 g B 10 cm 10 cm A 100 g 300 g FIGURE EX12.6

A student gives a quick push to a ball at the end of a massless, rigid rod, as shown in FIGURE Q12.9, causing the ball to rotate clockwise in a horizontal circle. The rods pivot is frictionless. a....

A drum major twirls a 96-cm-long, 400 g baton about its center of mass at 100 rpm. What is the batons rotational kinetic energy?

The four masses shown in Figure EX12.13 are connected by massless, rigid rods. a. Find the coordinates of the center of mass. b. Find the moment of inertia about a diagonal axis that passes through...

A 4.0-m-long, 500 kg steel beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. A 70 kg construction worker stands at the far end...

An athlete at the gym holds a 3.0 kg steel ball in his hand. His arm is 70 cm long and has a mass of 3.8 kg, with the center of mass at 40% of the arm length. What is the magnitude of the torque...

The two objects in Figure EX12.29 are balanced on the pivot. What is distance d? 2.0 m 1.0 m 4.0 kg- 1.0 kg FIGURE EX12.29

A car tire is 60 cm in diameter. The car is traveling at a speed of 20 m/s. a. What is the tires angular velocity, in rpm? b. What is the speed of a point at the top edge of the tire? c. What is the...

A 500 g, 8.0-cm-diameter can is filled with uniform, dense food. It rolls across the floor at 1.0 m/s. What is the cans kinetic energy?

An 8.0-cm-diameter, 400 g solid sphere is released from rest at the top of a 2.1-m-long, 25 incline. It rolls, without slipping, to the bottom. a. What is the spheres angular velocity at the bottom...

Evaluate the cross products A Ã B and C Ã D. (b) (a) A 45/ FIGURE EX12.37

Calculate by direct integration the moment of inertia for a thin rod of mass M and length L about an axis located distance d from one end. Confirm that your answer agrees with Table 12.2 when d = 0...

In Figure P12.59, an 80 kg construction worker sits down 2.0 m from the end of a 1450 kg steel beam to eat his lunch.What is the tension in the cable? Cable 307 6.0 m

A 750 g disk and a 760 g ring, both 15 cm in diameter, are rolling along a horizontal surface at 1.5 m/s when they encounter a 15 slope. How far up the slope does each travel before rolling back down?

The 5.0 kg, 60-cm-diameter disk in FIGURE P12.72 rotates on an axle passing through one edge. The axle is parallel to the floor. The cylinder is held with the center of mass at the same height as the...

A thin, uniform rod of length L and mass M is placed vertically on a horizontal table. If tilted ever so slightly, the rod will fall over. a. What is the speed of the center of mass just as the rod...

The sphere of mass M and radius R in FIGURE P12.76 is rigidly attached to a thin rod of radius r that passes through the sphere at distance 1/2 R from the center. A string wrapped around the rod...

A 10 g bullet traveling at 400 m/s strikes a 10 kg, 1.0-m-wide door at the edge opposite the hinge. The bullet embeds itself in the door, causing the door to swing open. What is the angular velocity...

A 200 g, 40-cm-diameter turntable rotates on frictionless bearings at 60 rpm. A 20 g block sits at the center of the turntable. A compressed spring shoots the block radially outward along a...

Luc, who is 1.80 m tall and weighs 950 N, is standing at the center of a playground merry-go-round with his arms extended, holding a 4.0 kg dumbbell in each hand. The merry-go-round can be modeled as...

What is the ratio of the suns gravitational force on you to the earths gravitational force on you?

The gravitational force of a star on orbiting planet 1 is F 1 . Planet 2, which is twice as massive as planet 1 and orbits at twice the distance from the star, experiences gravitational force F 2 ....

A rocket is launched straight up from the earths surface at a speed of 15,000 m/s. What is its speed when it is very far away from the earth?

A proposed space elevator would consist of a cable stretching from the earths surface to a satellite, orbiting far in space, that would keep the cable taut. A motorized climber could slowly carry...

a. At what height above the earth is the free-fall acceleration 10% of its value at the surface? b. What is the speed of a satellite orbiting at that height?

What is the total gravitational potential energy of the three masses in Figure P13.35? 5.0 kg 20 cm 10.0 kg 20.0 kg 10 cm FIGURE P13.35