No Child Hungry provides food boxes to children with inadequate food resources. During the COVID pandemic, the combination of food shortages in markets and employee layoffs saw the demand for food...
The Teachers' Retirement System of a midwestern state is selling a bond investment from its portfolio to generate cash to make payments to retirees for the coming year It plans to sell $100 million...
Monroe Outpatient Surgery Center (MOSC) is developing an operating budget for the month ending June 30, 2024. MOSC expects to perform 80 surgical procedures during the month. MOSCs average charge...
How many significant figures does each of the following numbers have? (a) 0.73 (b) 7.30 (c) 73 (d) 0.073
How many significant figures does each of the following numbers have? (a) 290 (b) 2.90 10 4 (c) 0.0029 (d) 2.90
Draw a pictorial representation for the following problem. Do not solve the problem. What acceleration does a rocket need to reach a speed of 200 m/s at a height of 1.0 km?
Youre driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.50 s, and the maximum deceleration...
A 1000 kg weather rocket is launched straight up. The rocket motor provides a constant acceleration for 16 s, then the motor stops. The rocket altitude 20 s after launch is 5100 m. You can ignore any...
A projectiles horizontal range over level ground is v 0 2 sin 2/g. At what launch angle or angles will the projectile land at half of its maximum possible range?
A stunt man drives a car at a speed of 20 m/s off a 30-m-high cliff. The road leading to the cliff is inclined upward at an angle of 20. a. How far from the base of the cliff does the car land? b....
On Planet X, you drop a 25-kg stone from rest and measure its speed at various times. Then you use the data you obtained to construct a graph of its speed as a function of time t (Fig. P2.78). From...
A test car travels in a straight line along the x-axis. The graph in Fig. E2.11 shows the cars position x as a function of time. Find its instantaneous velocity at points A through G. Figure E2.11: x...
Recall the stirred-tank heating process with variable holdup as described in Section 2.4.2. Recalculate the degrees of freedom for this example under the following separate circumstances (be sure to...
A thermometer with first-order time constant = 0.1 min and gain = 1.0 is placed in a temperature bath (25 C). After the thermometer comes to equilibrium with the bath, the temperature of the bath is...
For a stirred-tank heater, assume the transfer function between the heater input change u(t) (cal/sec) and the tank temperature change y(t)( C) can be modeled as G(s) = 5 / 3s + 1 (a) Using the...
A process has the transfer function (a) For a step change in the input U(s) = 2/s, sketch the response y(t) (you do not need to solve the differential equation). Show as much detail as possible,...
Example 5.1 derives the gain and time constant for a first-order model of a stirred tank heating process. (a) Simulate the response of the tank temperature to a step change in heat input from 310 7...
The level in a tank responds as a first-order system to changes in its inlet flow. The data shown below were gathered after the inlet flow was increased quickly from 1.5 to 4.8 gal/min. (a) Determine...
Consider the liquid storage system in Fig. E8.13. Suppose that q 1 must be kept constant, and, consequently, h 2 is to be controlled by adjusting q 2 . Suppose that the q 2 control valve is...
A steam-heated evaporator used to concentrate a feed stream by evaporating water is shown in Fig. E8.14. The mass fraction of solute in the exit stream x is measured and controlled by adjusting the...
A plasma etching batch process has a process gain of E A/min (but no dynamics). The manipulated variable is the etch time, so the controlled variable is the film thickness. There are no time...
A cylindrical storage tank is 2 m tall and 1 m in diameter. A low-level alarm is activated when the liquid level decreases to 0.25 m. Suppose that the tank is initially half full when a slow leak...
The cascade reactor control configuration shown in Fig. 16.3 utilizes a measurement of the cooling water temperature. It has been suggested that the temperature of the reactor wall be measured to...
Calculate the zero-bias junction capacitance for the example in Problem 1.1, and also calculate the value at 5 V reverse bias and 0.3 V forward bias. Assume a junction area of 2 10 5 cm 2 . Data...
Repeat Problem 1.8 for I C = 1 mA, V CB = 1 V, and V CS = 2 V. Data from Prob. 1.8: Derive and sketch the complete small-signal equivalent circuit for a bipolar transistor at I C = 0.2 mA, V CB = 3V,...
The 20.0 cm x 35.0 cm rectangular circuit shown in Fig. E27.45 is hinged along side ab. It carries a clockwise 5.00-A current and is located in a uni-form 1.20-T magnetic field oriented perpendicular...
A charge of 1 nC is located at the origin in free space. What charge must be located at (2, 0, 0) to cause E x to be zero at (3, 1, 1)?
(a) Obtain the time-average auto correlation function of x(t) = 3 + 6 cos (20t) + 3 sin (20t). (Combine the cosine and sine terms into a single cosine with a phase angle.) (b) Obtain the power...
Classify each of the following signals as an energy signal or as a power signal by calculating E, the energy, or P, the power (A, B, , , and are positive constants). (a) x 1 (t) = A| sin (t + )| (b)...
Given a binary communication channel where A = input and B = output, let P(A) = 0.45, P(B | A) = 0.95, and P(B | A) = 0.65. Find P(A | B) and P(A | B).
Using x r (t) = m(t) cos(2Ïf c t) and e 0 (t) = 2 cos (2Ïf c t + θ) for the assumed Costas PLL input and VCO output, respectively, verify that all signals shown at the various...
A power spectral density given by S Y (f) = f 2 / f 4 + 100 is desired. A white-noise source of two-sided power spectral density 1 W/Hz is available. What is the frequency response function of the...
Consider a random binary pulse waveform as an alyzed in Example 7.6, but with half-cosine pulses given by p(t) = cos(2t / 2T)II(t / T). Obtain and sketch the auto correlation function for the two...
Find H in a material where (a) r = 4.2, there are 2.7 10 29 atoms/m 3 , and each atom has a dipole moment of 2.6 10 30 a y Am 2 ; (b) M = 270a z A/m and = 2 H/m; (c) m = 0.7 and B = 2a z T. (d)...
The physics of circular motion sets an upper limit to the speed of human walking. (If you need to go faster, your gait changes from a walk to a run.) If you take a few steps and watch whats...
A solid conductor of circular cross section with a radius of 5 mm has a conductivity that varies with radius. The conductor is 20 m long, and there is a potential difference of 0.1 V dc between its...
Calculate the output resistance r c o of the common-emitter Darlington transistor of Fig. 3.75 as a function of I BIAS . Do not neglect either r o1 or r o2 in this calculation, but you may neglect r...
Determine the output current and output resistance of the bipolar current mirror shown in Fig. 4.55. Find the output current if V out = 1 V, 5 V, and 30 V. Ignore the effects of nonzero base...
Repeat problem 4.1 including the effects of nonzero base currents? Repeat problem 4.1: Determine the output current and output resistance of the bipolar current mirror shown in Fig. 4.55. Find the...
Design a MOS Widlar current source using the circuit shown in Fig. 4.31b to meet the following constraints with V DD = 3 V: (a) The input current should be 100 µA, and the output current should...
For the bias circuit shown in Fig. 4.66, determine the bias current. Assume that X d = L d = 0. Neglect base currents and the body effect. Comment on the temperature dependence of the bias current....
A circuit as shown in Fig. 5.1 has V CC = 15V, R 1 = R 2 = 0, R 3 = 5k¦, R L = 2k¦, V CE(sat) = 0.2 V, and V BE(on) = 0.7 V. All device areas are equal. (a). Sketch the transfer...
(a) For the circuit of Problem 5.1, sketch load lines in the I c - V ce plane for R L = 2 k¦ and R L = 10 k¦. (b) Calculate the maximum average sinusoidal output power that can be...
A BiCMOS Class AB output stage is shown in Fig. 5.43. Device parameters are β F (npn) = 80, β F (pnp) = 20, V BE(on) = 0.8 V, μ p C ox = 26 µA/V 2 , and V...
A two-stage bipolar amplifier is shown in Fig. 7.47. Calculate the low-frequency, small-signal voltage gain Ï o /Ï i and use the zero-value time constant method to estimate the3-dB...
A small model car with mass m travels at constant speed on the inside of a track that is a vertical circle with radius 5.00 m (Fig. E5.45). If the normal force exerted by the track on the car when it...
You are pushing a large crate from the back of a freight elevator to the front as the elevator is moving to the next floor. In which situation is the force you must apply to move the crate the least,...
Develop a computer program that allows you to plot the entropy of a source with variable output probabilities. We wish to observe that the maximum source entropy does indeed occur when the source...
Objects A, B, and C are moving as shown in Fig. E8.3. Find the x- and y components of the net momentum of the particles if we define the system to consist of (a) A and C, (b) B and C, (c) all three...
Two springs with the same unstretched length but different force constants k 1 and k 2 are attached to a block with mass m on a level, frictionless surface. Calculate the effective force constant k...
A 75 g bungee cord has an equilibrium length of 1.20 m. The cord is stretched to a length of 1.80 m, then vibrated at 20 Hz. This produces a standing wave with two antinodes. What is the spring...
FIGURE EX17.7 shows a standing wave on a string that is oscillating at 100 Hz. a. How many antinodes will there be if the frequency is increased to 200 Hz? b. If the tension is increased by a factor...
If you peel two strips of transparent tape off the same roll and immediately let them hang near each other, they will repel each other. If you then stick the sticky side of one to the shiny side of...
An insulating hollow sphere has inner radius a and outer radius b. Within the insulating material the volume charge density is given by (r) = /r, where a is a positive constant. (a) In terms of a and...
A thin spherical shell with radius R 1 = 3.00 cm is concentric with a larger thin spherical shell with radius R 2 = 5.00 cm. Both shells are made of insulating material. The smaller shell has charge...
The battery in the circuit shown in Fig. Q26.14 has no internal resistance. After you close the switch S, will the brightness of bulb B 1 increase, decrease, or stay the same? Figure Q26.14 B1 B2
A differential manometer is used to measure the pressure change caused by a flow constriction in a piping system as shown. Determine the pressure difference between points A and B in psi. Which...
The horizontal Y-fitting (see figure on the next page) splits 80°F water into two equal parts. The first part goes through Exit 1 and the second part goes through Exit 2 (as shown in the figure)....
Air of density 1.21 kg/m 3 is flowing as shown. If v = 15m/s, determine the readings on manometers (a) and (b) in the figures below. a. b. Air . U- 24 m/s Oil S.G. = 0.86
In Problem 6.31, find the rate of discharge if the frictional head loss in the pipe is 3.2 v 2 /g where v is the flow velocity in the pipe. Data From Problem 6.31 Referring to the figure, assume the...
Benzene flows steadily and continuously at 100F through a 3000-ft horizontal pipe with a constant diameter of 4 in. The pressure drop across the pipe under these conditions is 300 lb f /ft 2 ....
You have been asked to calculate the density of an in-compressible Newtonian fluid in steady flow that is flowing continuously at 250F along a 2500-ft pipe with a constant diameter of 4 in. and a...
Apply the law of conservation of mass to an element in a polar coordinate system and obtain the continuity equation for a steady, two-dimensional, in-compressible flow.
Using the NavierStokes equations and the continuity equation, obtain an expression for the velocity profile between two flat, parallel plates. Continuity equation, v0
The solar radiation incident on a steel plate 2 ft square is 400 Btu/h. The plate is 1.4 in. thick and lying horizontally on an insulating surface, its upper surface being exposed to air at 90F. If...
The Fourier field equation in cylindrical coordinates is a. What form does this equation reduce to for the case of steady-state, radial heat transfer? b. Given the boundary conditions T = T i at r =...
Dimensional analysis has shown the following parameters to be significant for forced convection: Evaluate each of these parameters at 340 K, for air, water, benzene, mercury, and glycerin. The...
A plane surface 25 cm wide has its temperature maintained at 80C. Atmospheric air at 25C flows parallel to the surface with a velocity of 2.8 m/s. Using the results of boundary layer analysis,...
Wastewater containing dissolved hydrogen sulfide (H 2 S) at concentration of 2.50 gmole/m 3 (85 mg/L) enters an open tank at a volumetric flow rate of 20 m 3 /h, and exits at the same volumetric flow...
For the case of a turbulent boundary layer on a flat plate, the velocity profile has been shown to follow closely the form Assuming a temperature profile of the same formthat is, and assuming that...
Determine the required time for the rubber balls described in Problem 20.8 to reach the condition such that the center temperature is 320 K. What will be the surface temperature when the center...
A system for heating water with an inlet temperature of 25C to an exiting temperature of 70C involves passing the water through a thick-walled tube with inner and outer diameters of 25 and 45 mm,...
Air at 203 kPa and 290 K flows in a long rectangular duct with dimensions 10 cm by 20 cm. A 2.5-m length of this duct is maintained at 395 K, and the average exit air temperature from this section is...
Consider the exchanger in Problem 22.9. After 4 years of operation, the outlet of the oil reaches 28C instead of 30C with all other conditions remaining the same. Determine the fouling resistance on...
Two parallel black rectangular surfaces, whose back sides are insulated, are oriented parallel to each other with a spacing of 5 m. They measure 5 m by 10 m. The surroundings are black at 0 K. The...
In a gas-phase diffusion mass-transfer process, the steady-state flux of species A in a binary mixture of A and B is 5.0 10 5 kgmole A/m 2 s, and the flux of B is 0 (zero). At a particular point in...
The chemical vapor deposition of silane vapor (SiH 4 ) forms a thin film of solid silicon as described in example 1, Chapter 25. Consider that the simplified CVD unit shown in Figure 25.5 is...
A cylindrical graphite rod (pure solid carbon, density 2.25 g/cm 3 ) of length 25 cm and initial diameter of 2.0 cm is inserted into a flowing air stream at 1100 K and 2.0 atm total system pressure....
In the fabrication of a p-type semiconductor, elemental boron is diffused a small distance into a solid crystalline silicon wafer. The boron concentration within the solid silicon deter mines...
Wastewater containing solute A at concentration of 1.0 · 10 gmole/m 3 enters an open tank at a volumetric flow rate of 0.20 m 3 /min, and exits at the same rate, as shown in the figure below....
A starship is circling a distant planet of radius R. The astronauts find that the free-fall acceleration at their altitude is half the value at the planets surface. How far above the surface are they...
Water flows from the pipe shown in FIGURE P14.60 with a speed of 4.0 m/s.a. What is the water pressure as it exits into the air?b. What is the height h of the standing column of water? Open 5.0 cm? h...
A 1.0 kg block is attached to a spring with spring constant 16 N/m. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 40 cm/s. What...
In a science museum, a 110 kg brass pendulum bob swings at the end of a 15.0-m-long wire. The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.5 m to the side and releasing it....
A gas with initial state variables p 1 , V 1 , and T 1 is cooled in an isochoric process until p 2 = 1/3 p 1 . What are (a) V 2 (b) T 2 ?
0.0050 mol of gas undergoes the process 1?? 2 ?? 3 shown in Figure P16.38.? What are (a) Temperature T 1 , (b) Pressure p 2 , (c) Volume V 3 ? p (atm) P2 - T = 2926 K 3 T3 = 2438 K 1 0+ V (cm) V3...
One cylinder in the diesel engine of a truck has an initial volume of 600 cm 3 . Air is admitted to the cylinder at 30C and a pressure of 1.0 atm. The piston rod then does 400 J of work to rapidly...
FIGURE P21.46 shows a Carnot heat engine driving a Carnot refrigerator. a. Determine Q 2 , Q 3 , and Q 4 . b. Is Q 3 greater than, less than, or equal to Q 1 ? c. Do these two devices, when operated...
A negatively charged electroscope has separated leaves. a. Suppose you bring a negatively charged rod close to the top of the electroscope, but not touching. How will the leaves respond? Use both...
A ring of radius R has total charge Q. a. At what distance along the z-axis is the electric field strength a maximum? b. What is the electric field strength at this point?
What is the net electric flux through the torus (i.e., doughnut shape) of FIGURE EX24.20? +) -1 nC (inside) +100 nC FIGURE EX24.20
A capacitor with plates separated by distance d is charged to a potential difference V C . All wires and batteries are disconnected, then the two plates are pulled apart (with insulated handles) to a...
What potential difference is needed to accelerate a He + ion (charge +e, mass 4 u) from rest to a speed of 2.0 10 6 m/s?
What are the strength and direction of the electric field at the position indicated by the dot in FIGURE P23.36? Give your answer (a) In component form. (b) As a magnitude and angle measured cw or...
Draw a circuit diagram for the circuit of FIGURE EX28.1. 75 0 T00n FIGURE EX28.1
A refrigerator has a 1000 W compressor, but the compressor runs only 20% of the time. If electricity costs $0.10/kWh, what is the monthly (30 day) cost of running the refrigerator?
Bulbs A, B, and C in FIGURE Q28.10 are identical, and all are glowing. a. Rank in order, from most to least, the brightnesses of the three bulbs. Explain.b. Suppose a wire is connected between points...
For the circuit shown in FIGURE P28.59, find the current through and the potential difference across each resistor. Place your results in a table for ease of reading. 20 24 VE 80 120 12 FIGURE P28.59
FIGURE EX29.37 is a cross section through three long wires with linear mass density 50 g/m. They each carry equal currents in the directions shown. The lower two wires are 4.0 cm apart and are...
An LC circuit has a 10 mH inductor. The current has its maximum value of 0.60 A at t = 0 s. A short time later the capacitor reaches its maximum potential difference of 60 V. What is the value of the...