An l0-km-long underground cable extends east to west and consists of two parallel wires each of which has resistance 13?/km. An electrical short develops at distance x from the west end when a...
Two stretched cables both experience the same stress. The first cable has a radius of 3.5 10-3 m and is subject to a stretching force of 270 N. The radius of the second cable is 5.1 10-3 m....
A box with a total surface area of 1.20 m2 and a wall thickness of 4.00 cm is made of an insulating material. A 10.0-W electric heater inside the box maintains the inside temperature at 15.0C above...
A box is separated by a partition into two parts of equal volume. The left side of the box contains 500 molecules of nitrogen gas; the right side contains 100 molecules of oxygen gas. The two gases...
Monochromatic light falls on two very narrow slits 0.048mm apart. Successive fringes on a screen 5.00m away are 6.5cm apart near the center of the pattern. Determine the wavelength and frequency of...
Consider a wave packet with a Gaussian amplitude distribution A (k) = B exp [ σ (k k0)2] where 2/√σ is equal to the 1/e width* of the packet. Using this function for A (k), show...
Figure shows a uniform square plate of edge length 6d = 6.0 m from which a square piece of edge length 2d has been removed. What are? (a) The x coordinate and (b) The y coordinates of the center of...
A certain loudspeaker system emits sound isotropically with a frequency of 2000 Hz and an intensity of 0.960mW/m2 at a distance of 6.10 m. Assume that there are no reflections. (a) What is the...
The accompanying figure shows three different crystallographic planes for a unit cell of a hypothetical metal. The circles represent atoms: (a) To what crystal system does the unit cell belong? (b)...
A projectile is thrown from a point P. It moves in such a way that its distance from P is always increasing. Find the maximum angle above the horizontal with which the projectile could have been...
Using Gauss's Law for Magnetism In a certain region of space, the magnetic field B is not uniform. The magnetic field has both a z component and a component that points radially away from or toward...
The coil in Figure 21.19a contains 410 turns and has an area per turn of 3.1 Ã 10-3 m2. The magnetic field is 0.23 T, and the current in the coil is 0.26 A. A brake shoe is pressed...
A rocket that is in deep space and initially at rest relative to an inertial reference frame has a mass of 2.55 x 105 kg, of which 1.81 x 105 kg is fuel. The rocket engine is then fired for 250 s...
An electron is accelerated rest through potential difference V and then enters a region of uniform magnetic field where it undergoes uniform circular motion. Figure gives the radius r of that motion...
In Figure two light pulses are sent through layers of plastic with thicknesses of either L or 2L as shown and indexes of refraction n1 = 1.55, n2 = 1.70, n3 = 1.60, n4 = 1.45, ns = 7.59, /t6 : I.65,...
Long flights at mid latitudes in the Northern Hemisphere encounter the jet stream, &r eastward airflow that can affect a plane's speed relative to Earth's surface, if a pilot maintains a certain...
A 4.00-kg counterweight is attached to a light cord, which is wound around a spool (refer to Fig. 10.20). The spool is a uniform solid cylinder of radius 8.00 cm and mass 2.00 kg. (a) What is the net...
The determined coyote is out once more in pursuit of the elusive roadrunner. The coyote wears a pair of Acme jet powered roller skates, which provide a constant horizontal acceleration of 15.0 m/s2...
A sinusoidal wave is traveling along a rope. The oscillator that generates the wave completes 40.0 vibrations in 30.0 s. Also, a given maximum travels 425 cm along the rope in 10.0 s. What is the...
Your auditory system can accommodate a huge range of sound levels. What is the ratio of highest to lowest intensity at? (a) 100 Hz, (b) 5000 Hz (See Fig. 12-6)
Jan first uses a Michelson interferaneter with the 606-nm light from a krypton-86 lamp. He displaces the movable mirror away from him, counting 818 fringes moving across a line in his field of view....
A conducting sphere of radius a, at potential V0, is surrounded by a thin concentric spherical shell of radius b, over which someone has glued a surface charge () = k cos, where k is a constant, and ...
As some molten metal splashes, one droplet flies off to the east with initial velocity vi at angle 'i above the horizontal, and another droplet to the west with the same speed at the same angle above...
A 0.70 kg ball moving horizontally at 5.0 m/s strikes a vertical wall and rebounds with speed 2.0 m/s. What is the magnitude of the change in its linear momentum?
In a long jump, an athlete leaves the ground with an initial angular momentum that tends to rotate her body forward, threatening to ruin her landing. To counter this tendency, she rotates her...
A magnetic dipole with a dipole moment of magnitude 0.020 J/T is released from rest in a uniform magnetic field of magnitude 52mT. The rotation of the dipole due to the magnetic force on it is...
Light of wavelength 624 nm is incident perpendicularly on a soap film (n = 1.33) suspended in air. What ate the (a) Least and (b) Second least thicknesses of the film for which the reflections from...
Bicyclists in the Tour de France do enormous amounts of work during a race. For example, the average power per kilogram generated by seven-time-winner Lance Armstrong (m = 75.0 kg) is 6.50 W per...
On a cold winter day you buy roasted chestnuts from a street vendor. Into the pocket of your down parka you put the change he gives youcoins constituting 9.00 g of copper at -12.0C. Your pocket...
In Figure, four particles are fixed along an x axis, separated by distances d = 2.00cm. The charges are q1 = + 2e, q1 = ?? e, q3 = + e, and q4 = + 4e, with e = 1.60 x 10??19C, in unit-vector...
Consider the arrangement shown in Figure P31.20. Assume that R = 6.00 Ω, = 1.20 m, and a uniform 2.50-T magnetic field is directed into the page. At what speed should the bar be moved to...
Fill in the missing particles or nuclei; (a) n + 137/56Ba ? + y; (b) n + 137/56Ba 137/55Cs + ?; (c) d + 2/1H 4/2 He + ?; (d) + 197/79Au ? + d where d stands for deuterium.
Four uniform spheres, with masses mA = 40 kg, mB = 35 kg, mC = 200 kg, and mD = 50 kg, have (x, y) coordinates of (0, 50 cm), (0, 0), (-80 cm, 0), and (40 cm, 0), respectively. In unit-vector...
Lightning strikes a dielectric sphere of radius 20 mm for which r = 2.5, = 5 X 106 mhos/m and deposits uniformly a charge of 10C. Determine the initial charge density and the charge density 2s later.
A race car starts from rest on a circular track. The car increases its speed at a constant ate at as it goes once around the track. Find the angle that the total acceleration of the car makeswith the...
A particle of mass m is constrained to move on a circle of radius R. The circle rotates in space about one point on the circle, which is fixed. The rotation takes place in the plane of the circle and...
Calculate the power delivered to each resistor shown in Figure P28.30. 2.0 50 V 4.0 4.0 2.0
The flywheel of a gasoline engine is required to give up 500 J of kinetic energy while its angular velocity decreases from 650 rev/min to 520 rev/min. What moment of inertia is required?
Three moles of an ideal gas are taken around the cycle abc shown in Fig. 19.31. For this gas, Cp = 29.l J/mol· K Process ac is at constant pressure, process ba is at constant volume, and...
In Fig, 21-44 determine the direction of the induced current in resistor RA when (a) Coil B is moved toward coil A, (b) When coil B is moved away from A. (c) When the resistance RE is increased. Coil...
A grandfather clock has a pendulum length of 0.7m and mass bob of 0.4kg. A mass of 2kg falls 0.8m in seven days to keep the amplitude (from equilibrium) of the pendulum oscillation steady at 0.03...
Consider a particle in a box with rigid walls at x = 0 and x = L. Let the particle be in the ground level. Calculate the probability | |2 dx that the particle will be found in the interval x to x +...
A pendulum consists of a 2.0 kg stone swinging on a 4.0 m string of negligible mass. The stone has a speed of 8.0 m/s when it passes its lowest point. (a) What is the speed when the string is at 60"...
A 10-kg block rests on a 5-kg bracket like the one in figure. The 5-kg bracket sits on a frictionless surface. The coefficients of friction between the 10-kg block and the bracket on which it rests...
A mouse is initially at rest on a horizontal turntable mounted on a frictionless vertical axle. If the mouse begins to walk clockwise around the perimeter, what happens to the turntable? Explain.
The eyepiece of a compound microscope has a focal length of 2.70 cm, and the objective lens has f =0.740 cm, if an object is placed 0.790 cm from the objective lens, calculate (a) The distance...
Calculate the ratio of the resistance of 10.0m of aluminum wire 2.0 mm in diameter, to 20.0m of copper wire 2.5 mm in diameter.
Rocket a passes earth at a speed of 0.75c. At the same time, rocket B passes earth moving 0.95c relative to earth in the same direction. How fast is B moving relative to A when it passes A?
What should be the index of refraction of a transparent sphere in order for paraxial rays from an infinitely distant object to be brought to a focus at the vertex of the surface opposite the point of...
In gravity-free interstellar space, a spaceship fires its rockets to speed up. The rockets are programmed to increase thrust from zero to 1.00 x 104 N with a linear increase over the course of 18.0...
A uniform rod of mass 100 g and length 50.0 cm rotates in a horizontal plane about a fixed, vertical, frictionless pin through its center. Two small beads, each of mass 30.0 g, are mounted on the rod...
A roller-coaster car is released from rest at the top of the first rise and then moves freely with negligible friction. The roller coaster shown in Figure P8.73 has a circular loop of radius R in a...
A platinum wire (density 21.4 g/cm3) is 225 m in diameter and 0.450 m long. One end of the wire is attached to the ceiling, while a 420-g mass is attached to the other end so that the wire hangs...
1. A quantity of liquid weighs 4.65 lb with a weight density of 39.8 lb/ft3. What is its volume? 2. The density of a metal is 694 kg/m3. Find its specific gravity. 3. A solid displaces 4.30 gal of...
Assume that the Earths atmosphere has a uniform temperature of 20C and uniform composition, with an effective molar mass of 28.9 g/mol. (a) Show that the number density of molecules depends on height...
An observer in frame S' is moving to the right (+ x-direction) at speed u = 0.600c away from a stationary observer in frame S. The observer in S' measures the speed v' of a particle moving to the...
In Problem 8, what are the magnitudes of (a) The horizontal component and (b) The vertical component of the net force acting on the block at point Q? (c) At what height h should the block be released...
1. A gasoline service station owner receives a truckload of 34,000 L of gasoline at 32C. It cools to 15C in the underground tank. At 75 cents/L, how much money is lost as a result of the contraction...
In a darkened room, a burning candle is placed 1.50 m from a white wall. A lens is placed between candle and wall at a location that causes a larger, inverted image to form on the wall. When the lens...
Juggling Act a juggler performs in a room whose ceiling is 3.0 m above the level of his hands. He throws a ball upward so that it just reaches the ceiling. (a) What is the initial velocity of the...
How would you shield an electronic circuit or laboratory from stray electric fields? Why does this work?
A 3.00-μF and a 4.00-μF capacitor are connected in series, and this combination is connected in parallel with a 2.00-μF capacitor (see Fig. 19-52). What is the net capacitance? 3.00 F 4.00 F...
The potential at the surface of a sphere (radius R) is given by V0 = k cos 3, where k is a constant. Find the potential inside and outside the sphere, as well as the surface charge density () on the...
The (United States) National Electric Code, which sets maximum safe currents for insulated copper wires of various diameters, is given (in part) in the table. Plot the safe current density as a...
In Section 8.6, we considered a rocket fired in outer space where there is no air resistance and where gravity is negligible. Suppose instead that the rocket is accelerating vertically upward from...
Three equal 1.20-C point charges are placed at the comers of an equilateral triangle whose sides are 0.500 m long. What is the potential energy of the system? (Take as zero the potential energy of...
In Figure two curved plastic rods, one of charge + q and the other of charge ? q, form a circle of radius R = 8.50 cm in an xy plane. The x axis asses through both of the connecting points, and the...
Figure shows a ball with mass m = 0.341 kg attached to the end of a thin rod with length L = 0.452 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical...
An archer shoots an arrow with a velocity of 45.0 m/s at an angle of 50.0 with the horizontal. An assistant standing on the level ground 150 m downrange from the launch point throws an apple straight...
On a compact disc (CD), music is coded in a pattern of tiny pits arranged in a track that spirals outward toward the rim of the disc. As the disc spins inside a CD player, the track is scanned at a...
The temperature of 0.150 mol of an ideal gas is held constant at 77.0oC while its volume is reduced to 25.0% of its initial volume. The initial pressure of the gas is 1.25 atm. (a) Determine the work...
A heat pump is used to keep a house warm at 22oC. How much work is required of the pump to deliver 2800 J of heat into the house if the outdoor temperature is? (a) 0oC, (b) 15oC? Assume ideal...
What is the maximum KE of the emitted particle during the decay of 60/27Co?
A transverse wave on a string is described by the wave function y = (0.120 m) sin [(x/8) + 4t] (a) Determine the transverse speed and acceleration at t = 0.200 s for the point on the string located...
A golfer takes three putts to get the ball into the hole. The first putt displaces the ball 3.66 m north, the second 1.83 m southeast, and the third 0.91 m southwest. What are? (a) The magnitude and...
A force in the negative direction of an x axis is applied for 27 ms to a 0.40 kg ball initially moving at 14 m/s in the positive direction of the axis. The force varies in magnitude, and the impulse...
A material having an index of refraction n is surrounded by a vacuum and is in the shape of a quarter circle of radius R (Fig. P35.66). A light ray parallel to the base of the material is incident...
You drill a small hole in the side of a vertical cylindrical water tank that is standing on the ground with its top open to the air. (a) If the water level has a height H, at what height above the...
A 1 500-kg car is moving at 20.0 m/s. The driver brakes to a stop. The brakes cool off to the temperature of the surrounding air, which is nearly constant at 20.0C. What is the total entropy change?
In a certain series RLC circuit, Irms = 9.00 A, Vrms = 180 V, and the current leads the voltage by 37.0. (a) What is the total resistance of the circuit? (b) Calculate the reactance of the circuit...
An organ pipe has two successive harmonics with frequencies 1372 and 1764 Hz. (a) Is this an open or a stopped pipe? Explain. (b) What two harmonics are these? (c) What is the length of the pipe?
Monochromatic electromagnetic radiation with wavelength A from a distant source passes through a slit. The diffraction pattern is observed on a screen 2.50 m from the slit. If the width of the...
In Figure an electron is shot at an initial speed of v0 = 2.00 x 106 m/s, at angle ?0 = 40.0o from an x axis. It moves through a uniform electric field E = (5.00 N/C)j. A screen for detecting...
A 6 12-in. plate is subjected to four loads as shown. Find the resultant of the four loads and the two points at which the line of action of the resultant intersects the edge of the plate. 50 lb 20...
For a person with normal hearing, the faintest sound that can be heard at a frequency of 400 Hz has a pressure amplitude of about 6.0 X 10-5 Pa. Calculate the (a) Intensity; (b) Sound intensity...
The angular position of a point on a rotating wheel is given by = 2.0 + 4.0t2 + 4.0t3, where is in radians and t is in seconds. At t = 0, what are? (a) The point's angular position and (b) Its...
The block of mass m sliding without friction along the looped track shown in Fig. 6-39 is to remain on the track at all times, even at the very top of the loop of radius r. (a) In terms of the given...
A thick-walled spherical shell of charge Q and uniform volume charge density p is bounded by radii r1 and r2 > r1. With V = 0 at infinity, find the electric potential V as a function of distance r...
A rock is thrown vertically upward from ground level at time t = 0. At t = 1.5 s it passes the top of a tall tower, and 1.0 s later it reaches its maximum height. What is the height of the tower?
Two concentric conducting spheres of inner and outer radii a and b, respectively, carry charges ?Q. The empty space between the spheres is half-filled by a hemispherical shell of dielectric (of...
Two gases in a mixture diffuse through a filter at rates proportional to the gases rms speeds. (a) Find the ratio of speeds for the two isotopes of chlorine, 35Cl and 37Cl, as they diffuse through...
A point charge Q is located on the axis of a disk of radius R at a distance b from the plane of the disk (Fig. P24.68). Show that if one fourth of the electric flux from the charge passes through the...
A fisherman notices that wave crests pass the bow of his anchored boat every 3.0s. He measures the distance between two crests to be 6.5 m. How fast are the waves traveling?
A child slides a block of mass 2 kg along a slick kitchen floor. If the initial speed is 4m/s and the block hits a spring with spring constant 6 N/m, what is the maximum compression of the spring?...
When a hypothetical diatomic molecule having atoms 0.8860 nm apart undergoes a rotational transition from the l = 2 state to the next lower state, it gives up a photon having energy 8.841 x 10-4eV....
An Earth satellite used in the global positioning system moves in a circular orbit with period 11 h 58 min. (a) Determine the radius of its orbit. (b) Determine its speed. (c) The satellite contains...
Calculate the net torque about point 0 for the two forces applied as in Fig. 10.38. The rod and both forces are in the plane of the page. F2 120N F1 8.00N 30.0 K-2.00 m 3.00 m>
The Wheatstone Bridge The circuit shown in Fig called a Wheatstone bridge. is used to determine !he value of an unknown resistor X by comparison with three resistors M, N, and P whose resistances can...
Two resistors and two uncharged capacitors are arranged as shown in Fig. 19-58. Then a potential difference of 24 V is applied across the combination as shown. (a) What is the potential at point a...
One of the beams of an interferometer (Fig. 24-59) passes through a small glass container containing a cavity 1.30cm deep. When a gas is allowed to slowly fill the container, a total of 236 dark...