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Repeat Prob. 2.75 for the eight-way divider shown in Fig. 2.136 . Prob 2.75 Find R ab in the four-way power divider circuit in Fig. 2.135. Assume each R = 4 Ω. inIim LinLw Lui bo ww- ww-... Find the voltage across the capacitors in the circuit of Fig. 6.49 under dc conditions. 50 10 20 V2 C2 70 60 V (+I Convert 2500 gal/min to ft 3 /s. For the shell-and-tube heat exchanger described in Problem 9.25, compute the pressure difference for both fluids between two points 5.25 m apart if the heat exchanger is horizontal. In Problem Refer... A heat sink for an electronic circuit is made by machining a pocket into a block of aluminum and then covering it with a flat plate to provide a passage for cooling water as shown in Fig. 9.22.... Repeat Problem 10.30 for a fully open gate valve. Repeat Problem Determine the equivalent length in meters of pipe of a fully open globe valve placed in a DN 250 Schedule 40 pipe. Determine the energy loss for a gradual contraction from a DN 125 Schedule 80 steel pipe to a DN 50 Schedule 80 pipe for a flow rate of 500 L/min. The cone angle for the contraction is 105. Figure 11.31 depicts a DN 100 Schedule 40 steel pipe delivering water at 15°C from a main line to a factory. The pressure at the main is 415 kPa. Compute the maximum allowable flow rate if the... Oil is flowing at the rate of 0.015 m 3 /s in the system shown in Fig. 11.17. Data for the system are as follows: Oil specific weight = 8.80 kN/ m 3 Oil kinematic viscosity = 2.12 à 10 5 m 2... A refracting astronomical telescope has an objective lens 50 mm in diameter. Given that the instrument has a magnification of 10 , determine the diameter of the eye-beam (the cylinder of light... What must the focal length of a thin negative lens be for it to form a virtual image 50 cm away (measured from the lens) of an ant located 100 cm away (measured from the lens)? Given (just as a... What is the speed of a satellite in a geosynchronous orbit about the Earth? Compare it with the speed of the Earth as it orbits the Sun. A venturi meter similar to the one in Fig. 15.2 has an inlet diameter of 100 mm and a throat diameter of 50 mm. While it is carrying water at 80°C, a pressure difference of 55 kPa is observed... The channel shown in Fig. 14.22 has a surface of floatfinished concrete and is laid on a slope that falls 0.1 m per 100 m of length. Calculate the normal discharge and the Froude number for a depth... Find vo(t) in the circuit of Fig. 16.58 . 1H all 25e u(t) V 2 F=vo(t) 4.5u(t) A vo(t) 4 2 +1 The switch in the circuit of Fig. 16.47 has been closed for a long time but is opened at t = 0. Determine i(t) for t > 0. i(t) 2 40 V t = 0 -/4 1/2 If i s (t) = 7.5e 2t u(t) A in the circuit shown in Fig. 16.40 , find the value of i o (t). i,(t) is(t) 0.5 F 2 relle A car (m = 1200 kg) is traveling at an initial speed of 15 m/s. It then slows to a stop over a distance of 80 m due to a force from the brakes. How much work is done on the car? Assume the... Determine the resultant of the superposition of the parallel waves E 1 = E 01 sin (t + 1 ) and E 2 = E 02 sin (t + 2 ) when = 120, E 01 = 6, E 02 = 8, 1 = 0, and 2 = /2. Plot each function and... Answer the following: (a) How many wavelengths of 0 = 500 nm light will span a 1-m gap in vacuum? (b) How many waves span the gap when a glass plate 5 cm thick (n = 1.5) is inserted in the path? (c)... A standing wave is given by Determine two waves that can be superimposed to generate it. E = 100 sin 7x TX Cos 5Tt Show that the group velocity can be written as dv = v - di Og Examine Fig. P. 7.53, which shows three periodic functions and their corresponding Fourier frequency spectra. Discuss the graphs explaining whats happening in successive parts. What happens to the... For the wheel described in Problem 16.22, compute the force exerted on the paddle when the wheel rotates at 40 rpm. In Problem Shown in Fig. 16.20 is a small decorative wheel fitted with flat paddles... Compute the specific weight of air at 25 psig and 105F. A skateboarder (m = 85 kg) takes a running jump onto a friend???s skateboard that is initially at rest as sketched in Figure P7.37. The friend is standing on the skateboard (mass of friend plus... Cadmium red light has a mean wavelength of Î»Ì 0 = 643.847 nm (see Fig. 7.45) and a linewidth of 0.001 3 nm. When used to illuminate a Michelson Interferometer it is found that... Imagine that we have an antenna at the edge of a lake picking up a signal from a distant radio star (Fig. P.9.32), which is just coming up above the horizon. Write expressions for δ and... A 3 5 card containing two pinholes, 0.08 mm in diameter and separated center to center by 0.10 mm, is illuminated by parallel rays of blue light from an argon ion laser ( 0 = 487.99 nm). If the... Will we get an interference pattern in Youngs Experiment (Fig. 9.11) if we replace the source slit S by a single long-filament lightbulb? What would occur if we replaced the slits S 1 and S 2 by... Referring back to the multiple antenna system on p. 456, compute the angular separation between successive lobes or principal maxima and the width of the central maximum. In the system of Figure 10-33, A, B, and C are BILBO registers. The B 1 and B 2 inputs to each of the registers determine its BILBO operating mode as follows: B 1 B 2 = 00, shift register; B 1 B 2 =... Consider the Fraunhofer diffraction pattern for eight very narrow parallel slits under monochromatic illumination. (a) Sketch the resulting irradiance distribution. (b) Explain why the first minimum... A car has a top speed of 70 m/s (about 150 mi/h) and has wheels of radius 30 cm. If the car starts from rest and reaches its operating speed after 9.0 s, what is the angular acceleration of the... An air duct in a building has a radius of 10 cm and a length of 10 m. What pressure is required to push air through the duct at a flow rate of 1.0 m 3 /s? Determine the sign of each charge q a , q b , and q c in Figure Q17.3. a 9b When two objects (such as a glass rod and a silk cloth) are rubbed together, electrons can be transferred from one to the other. Can protons also be transferred? Explain why or why not. A point particle with charge q = 4.5 C is placed on the x axis at x = -10 cm and a second particle of charge Q = 6.7 C is placed on the x axis at x = +25 cm. (a) Determine the x and y components of... Two particles with the same charge are attached to strings that are 80 cm long and that hang from a ceiling as shown in Figure P17.97. If the angle between the strings is ? = 60? and the particles... You are given four resistors, each with resistance R. Devise two ways to connect these resistors to get a total equivalent resistance less than R. Figure Ans Q19.12 Two resistors with R 1 = 1500 V and R 2 = 3500 V are connected in series as shown in Figure P19.29. (a) If the battery emf is = 12 V, what is the current through each of the resistors? (b) What is... How could you connect another resistor to the circuit in Figure P19.42 so as to reduce the brightness of the bulb? That is, would you connect the new resistor to points A and B, A and C, or B and C?... A particle of unknown charge has a velocity along the +y direction. There is a constant magnetic field along the +z axis, and it is found that the magnetic force on the particle is along +x. Is the... When a large, time- varying current fl ows through a coil, a piece of steel placed within the coil will quickly become red hot (Fig. Q21.17). Why? If a piece of copper were placed in the coil, would... The following Verilog code defines a function that computes the factorial of a number recursively. The automatic keyword is used to allow the function to be called recursively. Fill in the missing... The Curiosity rover touched down on Mars when Earth and Mars were 14 light-minutes apart. At the instant of touchdown, clocks at Mission Control in Pasadena, California, read 10:31 pm. As judged by... Linear light polarized horizontally passes through a quarterwave plate whose fast axis is /8 rad above the horizontal. Use the phasor method to graphically determine the polarization state of the... Figure P.11.49 shows a transparent ring on an otherwise opaque mask. Make a rough sketch of its autocorrelation function, taking l to be the center-to-center separation against which you plot that... Which of the paths shown in Fig. 7-69 could represent a ray of light passing through a glass block in air? A B D How do unsaturated, saturated, and supersaturated solutions differ? Cosmic rays carry energy to the earth at about the same rate as a. Sunlight b. Moonlight c. Starlight d. Meteoroids Draw the structures of the molecules with the following names. (a) 1-Chloro-1-butyne (b) (Z)-4-Bromo-3-methyl-3-penten-1-yne (c) 4-Hexyn-1-ol The formation of imines, oximes, hydrazones, and related derivatives from carbonyl compounds is reversible. Write a detailed mechanism for the acid-catalyzed hydrolysis of cyclohexanone semicarbazone... Indicate which reagent or combination of reagents is best suited for each of the following reactions. (a) (b) (c) (d) (e) (f) OH Reaction review. Without consulting the Reaction Road Map on p. 914, suggest reagents to convert each of the following starting materials into hexanoic acid: (a) hexanal; (b) methyl hexanoate; (c)... Formulate a mechanism for the reaction of acetyl chloride with 1-propanol shown on p. 932. Page 932 N(CH,CH,), CH3CCI + HOCH,CH,CH3 CH;COCH,CH,CH3 + HN(CH,CH3); Cl (See Problem 35) 75% Propyl... Give the product(s) of the reactions of acetic anhydride with each of the following reagents. Assume in all cases that the reagent is present in excess. (a) (CH 3 ) 2 CHOH (b) NH 3 (c) (d) LiAlH 4 ,... Give the products of reaction of methyl pentanoate with each of the following reagents under the conditions shown. (a) NaOH, H 2 O, heat; then H + , H 2 O (b) (CH 3 ) 2 CHCH 2 CH 2 OH (excess) , H +... Draw and label the given streams and derive expressions for the indicated quantities in terms of labeled variables. The solution of Part (a) is given as an illustration. (a) A continuous stream... Strawberries contain about 15 wt% solids and 85 wt% water. To make strawberry jam, crushed strawberries and sugar are mixed in a 45:55 mass ratio, and the mixture is heated to evaporate water until... In determining the primary structure of insulin, what would lead you to conclude that it had more than one polypeptide chain? (a) Write structural formulas for the two chair conformations of cis-1-isopropyl-4-methylcyclohexane. (b) Are these two conformations equivalent? (c) If not, which would be more stable? (d) Which... Effluents from metal-finishing plants have the potential of discharging undesirable quantities of metals, such as cadmium, nickel, lead, manganese, and chromium, in forms that are detrimental to... A400-L tank,A(see Fig. P3.47), contains argon gas at 250 kPa and 30C. Cylinder B, having a frictionless piston of such mass that a pressure of 150 kPa will float it, is initially empty. The valve is... Saturated vapor R-410a at 0C in a rigid tank is cooled to 20C. Find the specific heat transfer. A piston/cylinder assembly in a car contains 0.2 L of air at 90 kPa and 20C, as shown in Fig. P3.163. The air is compressed in a quasi-equilibrium polytropic process with polytropic exponent n = 1.25... A water cooler for drinking water should cool 25 L/h water from 18C to 10C while the water reservoirs also gains 60 W from heat transfer. Assume that a small refrigeration unit with a COP of 2.5 does... Accounting for buoyancy, what apparent mass of CsCl (density = 3.988 g/mL) in air should you weigh out to obtain a true mass of 1.267 g? Calculate the pH of a 0.010 M solution of each amino acid in the form drawn here. H,N* NH2 NH2 NH C=0 CH2 CH2 S CH2 CH2 CH2 CH2 (a) HCHCO, (b) H3CHCO, (c) H,NCHCO, Glutamine Cysteine Arginine You and your team are exploring a river in South America when you come to the bottom of a tall waterfall. You estimate the cliff over which the water flows to be about 100 feet tall. You have to... A railway truck of mass 8,000 kg travels along a level track at a velocity of 2.5 m s 1 and collides with a stationary truck of mass 12,000 kg. The collision takes 4.0 s and the two trucks move... Two wires P and Q both obey Hookes law. They are both stretched and have the same strain. The Young modulus of P is four times larger than that of Q. The diameter of P is twice that of Q. What is the... You and your team are designing a small tube heater that consists of a small ceramic tube wrapped with a special heater wire composed of Nichrome. When you run an electrical current through the wire,... A car travels around a 90 bend in 15 s. The radius of the bend is 50 m. a. Determine the angular speed of the car. b. Determine the speed of the car. A spacecraft orbits the Earth in a circular path of radius 7000 km at a speed of 7800 m s 1 . Determine its angular velocity. Calculate how long it would take a ball to orbit the Earth once, just above the surface, at a speed of 7920 m s 1 . (The radius of the Earth is 6400 km.) A stone of mass 0.20 kg is whirled round on the end of a string in a vertical circle of radius 30 cm. The string will break when the tension in it exceeds 8.0 N. Calculate the maximum speed at which... Assume the physical situation in Fig. P3.11b; what is the work term a, b, c, or d? a. 1w 2 = P 1 (v 2 v 1 ) b. 1w 2 = v 1 (P 2 P 1 ) c. 1w 2 = 1/2 (P 1 + P 2 ) (v 2 v 1 ) d. 1w 2 = 1/2 (P 1 P 2 )... A 10-m-high open cylinder, with Acyl = 0.1 m 2 , contains 20C water above and 2 kg of 20C water below a 198.5-kg thin insulated floating piston, as shown in Fig. P3.107. Assume standard g, P 0 . Now... The atmospheric pressure is 100 kPa, equivalent to the pressure exerted by a column of water 10 m high. A bubble of oxygen of volume 0.42 cm 3 is released by a water plant at a depth of 25 m.... From the displacementtime graph shown in Figure 18.8, determine the amplitude, period and frequency of the oscillations represented. 20 40 60 80 100 120 140 160 Time/ms Displacement/ cm This diagram shows three capacitors connected in series with a cell of e.m.f. 1.5 V. a. Calculate the charges Q 1 to Q 6 on each of the plates. b. Calculate the p.d. across each capacitor. Q1||Q2 Q3... A particular emission spectral line is measured in the laboratory to have a frequency of 7.3 10 14 Hz. a. Calculate the wavelength of this spectral line in the laboratory. b. Calculate the observed... The following results were obtained from an experiment carried out to measure the enthalpy of combustion (heat of combustion) of ethanol. The experiment involved heating a known volume of water with... Two compounds with the molecular formula C 5 H 10 O have the following 1 H and 13 CNMR data. Both compounds have a strong IR absorption band in the 17101740 cm1 region. Elucidate the structure of... The diving bell below contains trapped air at the same pressure as the water outside. At the surface, air pressure is 100 kPa. As the bell descends, the pressure on it increases by 100 kPa for every... Figure 4.10 is a histogram of measured mid-upper arm circumferences of 300 randomly selected adults Adult Mid-Upper Arm Circumferences 50 40 30 20 10 20 24 28 32 36 40 44 Circumference (centimeters)... The braking reaction times of 500 randomly selected drivers, were measured under standard conditions. Describing Distributions. For each distribution described in Exercises, answer the following... Identify the distribution in Figure 5.7 that is not normal. Of the two normal distributions, which has the larger standard deviation? nnn 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 (a) (b) (c) Weights of adult males are normally distributed with a mean of 85.5 kg and a standard deviation of 17.7 kg. Assume that many samples of size n are taken from a large population of adult males and the... Give all answers to 3 significant figures. a. 1.20 dm 3 of hydrogen chloride gas was dissolved in 100 cm 3 of water. i. How many moles of hydrogen chloride gas are present? ii. What was the... a. The successive ionisation energies of boron are shown in Table 3.3. i. Why is there a large increase between the third and fourth ionisation energies? ii. Explain how these figures confirm that... The rate of inflation in the 1970s was much higher than it is today, so prices today must be lower overall. Does It Make Sense? For Exercises, determine whether the statement makes sense (or is... I estimate that there is a probability of 0.5 that the batteries in my calculator will need to be replaced sometime during the next 3 years. Does It Make Sense? For Exercises, determine whether the... What mass of Cu(IO 3 ) 2 can be formed from 0.475 g of CuSO 4 . 5H 2 O? A cyclist pedals a long slope which is at 5.0 to the horizontal, as shown. The cyclist starts from rest at the top of the slope and reaches a speed of 12 m s 1 after a time of 67 s, having travelled... A. State the principle of conservation of momentum and state the condition under which it is valid. B. An arrow of mass 0.25 kg is fired horizontally towards an apple of mass 0.10 kg that is hanging... Based on data from the College Board, SAT scores on the Math Level 1 test are normally distributed with a mean of 621 and a standard deviation of 96. a. Find the percentage of scores greater than... Data from the National Vital Statistics Reports and the U.S. Department of Agriculture show that over the past several years in Maine, the divorce rate declined and per capita, margarine consumption... Photons of energies 1.0 eV, 2.0 eV and 3.0 eV strike a metal surface whose work function is 1.8 eV. a. State which of these photons could cause the release of an electron from the metal. b. Calculate...
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