A U.S. football field is 120 yards long (including the end zones). How long is the field in (a) Meters, (b) Millimeters, (c) Feet, and (d) Inches?
A card table has a top surface area of exactly 1 square meter (1 m 2 ). What is its area as measured in (a) Square centimeters and (b) Square millimeters?
The age of the universe is about 5 Ã 10 17 s (Table 1.2, page 11). Express this age in years. TABLE 1.2 Some Common Time Intervals Time in Seconds (s) Quantity Time for light to travel 1 meter...
Consider the equation 5x 17 = 10x 27. Solve for x.
An angle has a value of 738. Find its value in radians.
A ladder of length 2.5 m is leaned against a wall (Fig. P1.44). If the top of the ladder is 1.7 m above the floor, what is the angle the ladder makes with the wall? What angle does it make with the...
Which vector in Figure P1.51 might equal A(vector) + B(vector)? Figure P1.51 ? (a) (b) -B (c) (d)
Given the wavefunctions and determine in each case the values of (a) Frequency (b) Wavelength (c) period (d) amplitude (e) Phase velocity (f) Direction of motion. Time is in seconds and x is in...
Figure P2.53 shows the position as a function of time for an object. (a) What is the average velocity during the period from t = 0.0 s to t = 10.0 s? (b) What is the average velocity between t = 0.0...
A cannon is fired horizontally from a platform (Fig. P2.49). The platform rests on a flat, icy, friction less surface. Just after the shell is fired and while it is moving through the barrel of the...
A flatbed rail car is moving at a slow but constant velocity. A man stands in the rail car, facing sideways (perpendicular) to the motion of the rail car. The man holds a baseball at arms length and...
A spacecraft takes off from Cape Canaveral in Florida and orbits Earth 18 times before landing back at Cape Canaveral 24 hours and 15 minutes later. During this time, it moves in a circular orbit...
Three blocks rest on a table as shown in Figure Q2.20. Identify three actionreaction pairs of forces. Figure Q2.20 3 2.
For the object described by Figure P2.24, estimate the average velocity (a) Over the interval from t - 2.0 s to t - 4.0 s and (b) Over the interval from t - 1.0 s to t - 5.0 s. Figure P2.24 -x (m)...
According to Newtons first law (the principle of inertia), if there is no force exerted on an object, the object will move with constant velocity. Consider the following examples of motion. Is the...
A car is initially at rest on an icy road that is extremely slippery. The driver finds that he is unable to get the car to drive away because the wheels simply spin when he tries to accelerate....
An object is found to move with an acceleration of magnitude 12 m/s 2 when it is subjected to a force of magnitude 200 N. Find the mass of the object.
Define absolute pressure.
Define atmospheric pressure.
The value for the absolute pressure will always be greater than that for the gage pressure. Are (or can be) true or false. For those that are false, explain why.
As long as you stay on the surface of Earth, the atmospheric pressure will be 14.7 psia. Are (or can be) true or false. For those that are false, explain why.
The pressure in a certain tank is -4.65 psig. Are (or can be) true or false. For those that are false, explain why.
If you were to ride in an open-cockpit airplane to an elevation of 4000 ft above sea level, what would the atmospheric pressure be if it conforms to the standard atmosphere?
Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...
When you dive to a depth of 12.50 ft in seawater, what is the pressure?
An airplane is flying at 10.6 km altitude. In its nonpressurized cargo bay is a container of mercury 325 mm deep. The container is vented to the local atmosphere. What is the absolute pressure at the...
The greatest known depth in the ocean is approximately 11.0 km. Assuming that the specific weight of the water is constant at 10.0 kN/m 3 , calculate the pressure at this depth.
For the well-type manometer in Fig. 3.34, calculate p A . 6,8 in PA Water
A pressure relief valve is designed so that the gas pressure in the tank acts on a piston with a diameter of 30 mm. How much spring force must be applied to the outside of the piston to hold the...
The bottom of a laboratory vat has a hole in it to allow the liquid mercury to pour out. The hole is sealed by a rubber stopper pushed in the hole and held by friction. What force tends to push the...
Refer to Fig. 4.38. Com syrup sg = 1.43 Window 20 in 40 in 50 in 30 in Tank is symmetrical 8 in
Refer to Fig. 4.41. 6 in 18 in 30 in Triangular window Water 50 20 in
Repeat Problem 4.20 (Fig. 4.32), except that the tank is now sealed at the top with a pressure of 25.0 kPa above the fluid. 30 Orange drink (sg - 1.10) 3.0 m 4.6 m 2.4-m diameter 1.2 m Circular view...
A 1.0-mW laser produces a nearly parallel beam 1.0 cm 2 in cross-sectional area at a wavelength of 650 nm. Determine the amplitude of the electric field in the beam, assuming the wavefronts are...
An electromagnetic wave is specified (in SI units) by the following function: Remember that vector E 0 and vector k are perpendicular to each other. Find (a) The direction along which the electric...
A parabolic radar antenna with a 2-m diameter transmits 200-kW pulses of energy. If its repetition rate is 500 pulses per second, each lasting 2 s, determine the average reaction force on the antenna.
A bowl 10.0 cm deep is filled with olive oil. A coin on the bottom of the bowl is viewed directly from above. How far beneath the surface will the coin appear?
Suppose that you focus a camera with a close-up bellows attachment directly own on a letter printed on this page. The letter is then covered with a 1.00-mm-thick microscope slide (n = 1.55). How high...
Show that the two rays that enter the system in Fig. P.4.39 parallel to each other emerge from it being parallel. Figure P.4.39 na na 2
Use the Fresnel Equations to prove that light incident at p = 1/2 - t results in a reflected beam that is indeed polarized.
A certain standard steel pipe has an outside diameter of 168 mm, and a 1 m length of the pipe weighs 277 N. Would the pipe float or sink in glycerin (sg = 1.26) if its ends are closed?
A cylindrical drum is 2 ft in diameter, 3 ft long, and weighs 30 lb when empty. Aluminum weights are to be placed inside the drum to make it neutrally buoyant in fresh water. What volume of aluminum...
A cube has side dimensions of 18.00 in. It is made of steel having a specific weight of 491 lb/ft 3 . What force is required to hold it in equilibrium under fresh water?
A cylindrical log has a diameter of 450 mm and a length of 6.75 m. When the log is floating in fresh water with its long axis horizontal, 110 mm of its diameter is above the surface. What is the...
Repeat Problem 5.46, except assume that crushed coal is added to the scow so that the scow is submerged to a depth of 16.0 ft and its center of gravity is raised to 13.50 ft from the bottom....
An undersea camera (Figure 5.36) is to hang from a float in the ocean, allowing it to take constant video of undersea life. The camera is relatively heavy; it weighs 40 pounds and has a volume of...
A car has a velocity of 10 m/s at t - 7.0 s. It then accelerates uniformly and reaches a velocity of 42 m/s at t - 12.0 s. What is its acceleration during this period?
Consider a skydiver who lands on the ground with a speed of 3 m/s. What is the approximate force on the skydivers legs when she lands?
A person leans against a wall (Fig. P4.5). Draw a free-body diagram for the person. Assume there is no frictional force between the wall and the person. Figure P4.5
Two ropes are attached to a skater as sketched in Figure P4.1 and exert forces on her as shown. Find the magnitude and direction of the total force exerted by the ropes on the skater. Figure P4.1 Top...
The water line described in Problem 8.22 was a cold water distribution line. At another point in the system, the same-size tube delivers water at 180F. Compute the range of volume flow rates for...
Crude oil is flowing vertically downward through 60 m of DN 25 Schedule 80 steel pipe at a velocity of 0.64 m/s. The oil has a specific gravity of 0.86 and is at 0C. Calculate the pressure difference...
A 600-W TV receiver is turned on for 4 h with nobody watching it. If electricity costs 10 cents/kWh, how much money is wasted?
In a household, a business is run for an average of 6 h/day. The total power consumed by the computer and its printer is 230 W. In addition, a 75-W light runs during the same 6 h. If their utility...
A canoe travels across a 40-m-wide river that has a current of speed 5.0 m/s. The canoe has a speed of 0.80 m/s relative to the water (Fig. P4.88). The person paddles the canoe so as to cross the...
A 1.2-kW toaster takes roughly 4 minutes to heat four slices of bread. Find the cost of operating the toaster twice per day for 2 weeks (14 days). Assume energy costs 9 cents/kWh.
Determine the current flowing through an element if the charge flow is given by (a) q(t) = (3) mC (b) q(t) = (4t 2 + 20t 4) C (c) q(t) = (15e 3t 2e 18t ) nC (d) q(t) = 5t 2 (3t 3 + 4) pC (e) q(t) =...
The 150 W light bulb in Fig. 2.122 is rated at 110 volts. Calculate the value of Vs to make the light bulb operate at its rated conditions. 150 Watt 100 2 +. ww- 50 2
Consider the circuit in Fig. 2.118 . Find the equivalent resistance at terminals: (a) a-b, (b) c-d. 450 2 10 2 300 2 300 2 450 2 60 2
An ammeter model consists of an ideal ammeter in series with a 20-Ω resistor. It is connected with a current source and an unknown resistor R x as shown in Fig. 2.133 . The ammeter...
Find R eq for the circuit in Fig. 2.94. 180 2 25 2 :60 2 60 2 Rea
In the network graph shown in Fig. 2.70 , determine the number of branches and nodes.
(a) Calculate current i in Fig. 2.68 when the switch is in position 1. (b) Find the current when the switch is in position 2. 1 100 150 3 2.
Determine i 1 and i 2 in the circuit of Fig. 2.74. 4 A -8 A i2 -6 A
Two delicate devices are rated as shown in Fig. 2.142 . Find the values of the resistors R 1 and R 2 needed to power the devices using a 36-V battery. 60-mA, 2-2 fuse 36 V, 720 mW R1 Device 2 36 V+...
Using Figure 3.88 design a problem to help students better understand mesh analysis using matrices. 10 30 20 40 30 V3 . 12 +) .
Write the node-voltage equations by inspection and then determine values of V 1 and V 2 in the circuit of Fig. 3.114 . 41x V2 V, 7A 5S 1S 2 S 20 A
For the circuit shown in Fig. 3.113 , write the nodevoltage equations by inspection. 20 k2 50 mA 10 k2 v2 5 k2 V3 10 k2 40 mA 100 mA 5 k2
Design a circuit to amplify the difference between two inputs by 2.5. (a) Use only one op amp. (b) Use two op amps.
The feedback resistor of a three-input averaging summing amplifier is 50 k. What are the values of R 1 , R 2 , and R 3 ?
Using Fig. 5.75 , design a problem to help other students better understand summing amplifiers. Calculate the output voltage due to the summing amplifier shown in Fig. 5.75. V, R1 V2 R2 (+-) Vo V3 R3...
Determine the output of the summing amplifier in Fig. 5.74. 3 V 10 k2 30 kQ 5.4 V 20 k2 -3.5 V Vo 30 k2 +-) to
For the circuit shown in Fig. 5.73 , find the Thevenin equivalent at terminals a-b. R2 Vs R1 + 1)
Using Fig. 5.64 , design a problem to help other students better understand noninverting op amps. Determine i o in the circuit of Fig. 5.64. H'o R3 R2 R, (+I)
Obtain the Thevenin and Norton equivalent circuits of the circuit in Fig. 4.114 with respect to terminals a and b. 20 20 1A (4 201,
Using Fig. 4.113 , design a problem to help other students better understand Norton equivalent circuits. Find the Norton equivalent at terminals a-b of the circuit in Fig. 4.113. R2 R1 R3 ob
Given that I = 6 amps when V s = 160 volts and I s = 10 amps and I = 5 amp when V s = 200 volts and I s = 0, use superposition and linearity to determine the value of I when V s = 120 volts and I s =...
Calculate the current i o in the circuit of Fig. 4.69. What value of input voltage is necessary to make i o equal to 5 amps? 25 2 40 30 V 15 +)
The current in a 150-mH inductor increases from 0 to 60 mA (steady state). How much energy is stored in the inductor?
The current through a 12-mH inductor is 4 sin 100t A. Find the voltage, and the energy stored at t = /200 s.
The voltage across a 5-mF capacitor is shown in Fig. 6.47 . Determine the current through the capacitor. v (t) (V) A 16 t (us) 2 3 4 3.
Design a voltage controlled ideal current source (within the operating limits of the op amp) where the output current is equal to 200 v s (t) A.
Determine the load voltage v L in the circuit of Fig. 5.99 . 50 k2 10 k2 5 k2 4 k2 5.4 V +,
A small velocity probe is to be inserted through a pipe wall. If we measure from the outside of the DN 150 Schedule 80 pipe, how far (in mm) should the probe be inserted to sense the average velocity...
Water at 10°C is flowing in the shell shown in Fig. 9.18 at the rate of 850 L/min. The shell is a 50 mm OD Ã 1.5 mm wall copper tube and the inside tubes are 15 mm OD Ã 1.2 mm wall...
Refer to the shell-and-tube heat exchanger shown in Fig. 9.13. The outer tube has an OD of 7/8 in and the OD of the inner tube is ½ in. Both tubes are standard steel tubes with 0.049-in wall...
A piping system for a pump contains a tee, as shown in Fig. 10.34, to permit the pressure at the outlet of the pump to be measured. However, there is no flow into the line leading to the gage....
Determine the energy loss when 0.04 m 3 /s of water flows from a DN 150 standard Schedule 40 pipe into a large reservoir.
Compute the energy loss in a 90 bend in a steel tube used for a fluid power system. The tube has a -in OD and a wall thickness of 0.065 in. The mean bend radius is 2.00 in. The flow rate of hydraulic...
A 6-in plastic diaphragm valve carries 1500 gal/min of liquid propane at 77F. Compute the expected pressure drop across the valve.
In a processing plant, ethylene glycol at 77F is flowing in a 6-in coated ductile iron pipe having a length of 5000 ft. Over this distance, the pipe falls 55 ft and the pressure drops from 250 psig...
Work Problem 12.4 using PIPE-FLO software. Display the volume flow rate in each branch and all other relevant values on the FLO-Sheet .
The Earth has a radius of 6.4 10 6 m and completes one revolution about its axis in 24 h. (a) Find the speed of a point at the equator. (b) Find the speed of New York City.
For the op amp circuit in Fig. 7.134 , find v o (t) for t > 0. 25 mF t= 0 100 k2 10 k2 20 k2 Vo +1
Find the voltage across the capacitor as a function of time for t > 0 for the circuit in Fig. 8.72 . Assume steady-state conditions exist at t = 0 . t= 0 100 v (+ 0.25 H 1F ell
Calculate i(t) for t > 0 in the circuit of Fig. 8.82 . + v - 16 35u(-t) V (+ 5
Using Fig. 8.83 , design a problem to help other students better understand the step response of series RLC circuits. Determine v(t) for t > 0 in the circuit in Fig. 8.83. Ot= 0 V, V2 C= +1.
For the network in Fig. 8.89 , find i(t) for t > 0. 1H 3 all i(t) 40u(t) A (4 20 V(+ 40 mF
A current source in a linear circuit has i s = 15 cos (25 t + 25) A (a) What is the amplitude of the current? (b) What is the angular frequency? (c) Find the frequency of the current. (d) Calculate...
Using Fig. 9.43 , design a problem to help other students better understand impedance. In the circuit in Fig. 9.43 , determine i. Let v s = 60 cos(200t - 10°) V. R1 R3 R2 Vs (+1