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...

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...

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...

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 data shown in the accompanying table were obtained from a tensile test of high-strength steel. The test specimen had a diameter of 0.505 in. and a gage length of 2.00 in. (see figure for Prob....

An ice tray contains 500 g of liquid water at 0C. Calculate the change in entropy of the water as it freezes slowly and completely at 0C.

Figure P30.23 is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, which is surrounded by an outer conductor, which is surrounded by another rubber...

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?

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...

You can think of the workkinetic energy theorem as a second theory of motion, parallel to Newtons laws in describing how outside influences affect the motion of an object. In this problem, solve...

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...

Determine the current in each branch of the circuit shown in Figure P28.21. 3.00 5.00 1.00 8.00 1.00 12.0 V 4.00 V

You are given a sample of metal and asked to determine its specific heat. You weigh the sample and find that its weight is 28.4 N. You carefully add 1.25 X 104 J of heat energy to the sample and find...

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?...

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...

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....

Para-magnetism of S = 1 system. (a) Find the magnetization as a function of magnetic field and temperature for a system of spins with S = 1, moment and concentration n. (b) Show that in the limit B...

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...

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 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 plane is traveling at Mach 2.0. An observer on the ground hears the sonic boom 1.5 min after the plane passes directly overhead. What is the planes altitude?

A power supply has a fixed output voltage of 12.0 V, but you need VT = 3.0V for an experiment. (a) Using the voltage divider shown in Fig. 19-66, what should R2 be if R1 is 10.0? (b) What will the...

As a new electrical engineer for the local power company, you are assigned the project of designing a generator of sinusoidal ac voltage with a maximum voltage of 120 V. Besides plenty of wire, you...

De Haas-van Alphen period of potassium (a) Calculate the period (1/B) expected for potassium on the free electron model. (b) What is the area in real space of the external orbit, for B 10kG = 1 T?...

Stellar system Q1 moves away from us at a speed of 0.800c. Stellar system Q2, which lies in the same direction in space but is closer to us, moves away from us at speed 0.400c. What multiple of c...

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>

A stiff uniform wire of mass Mo and length La is cut, bent, and the parts soldered together so that it forms a circular wheel having four identical spokes coming out from the center. None of the wire...

A budding electronics hobbyist wants to make a simple 1.0-nF capacitor for tuning her crystal radio, using two sheets of aluminum foil as plates, with a few sheets of paper between them as a...

The coefficient of static friction between hard rubber and normal street pavement is about 0.8. On how steep a hill (maximum angle) can you leave a car parked?

(1). Formulate an appropriate boundary condition, to replace Eq. 9.27, for the case of two strings under tension T joined by a knot of mass m. (2). Find the amplitude and phase of the reflected and...

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?

An aluminum pipe, 0.655 m long at 20.0C and open at both ends, is used as a flute. The pipe is cooled to a low temperature but then is filled with air at 20.0C as soon as you start to play it. After...

Let A be vector from the origin to point P fixed in space. Let r be a vector from the origin to a variable point Q (x1, x2, x3). Show that A r = A2 is the equation of a plane perpendicular to A and...

What is the angular speed of? (a) The second hand, (b) The minute hand, and (c) The hour hand of a smoothly running analog watch, answer in radians per second.

A horizontal vinyl record of mass 0.10 kg and radius 0.10 m rotates freely about a vertical axis through its center with an angular speed of 4.7 rad/s. The rotational inertia of the record about its...

An airport terminal has a moving sidewalk to speed passengers through a long corridor. Larry does not use the moving sidewalk; he takes 150 s to walk through the corridor. Curly, who simply stands on...

The magnetic field 40.0 cm away from a long, straight wire carrying current 2.00 A is 1.00 T. (a) At what distance is it 0.100 T? (b) At one instant, the two conductors in a long household extension...

Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 2.0 X 10 m/s when at a distance of 2.5 X 1011 m from the center of the sun, what is its speed when at...

Figure shows an "autotransformer." It consists of a single coil (with an iron core). Three taps Ti are provided. Between taps T1 and T2 there are 200 turns, and between taps T2 and T3 there are 800...

In the situation described in Problem 20 and illustrated in Figure P12.20, the lift cable suddenly breaks! The hinge between the castle wall and the bridge is frictionless, and the bridge swings...

A current pulse is fed to the partial circuit shown in Figure P32.25. The current begins at zero, then becomes 10.0 A between t = 0 and t = 200 μs, and then is zero once again. Determine the...

A free neutron is unstable and decays into a proton and an electron. How much energy other than the rest energies of the proton and electron is available if a neutron at rest decays? This is an...

Corrective Lenses determine the power of the corrective contact lenses required by (a) A hyperopic eye whose near point is at 60.0 cm and (b) A myopic eye whose far point is at 60.0cm.

A box of canned goods slides down a ramp from street level into the basement of a grocery store with acceleration 0.15 m/s 2 directed down the ramp. The ramp makes an angle of 40 with the horizontal....

In the arrangement of Figure we gradually pull the block from x = 0 to x = +3.0 cm, where it is stationary. Figure gives the work that our force does on the block. The scale of the figure's vertical...

In Figure a rectangular slab of slate rests on a bedrock surface inclined at angle = 26. The slab has length L = 43 m, thickness Z = 2.5 m, and width 17 = 12 m, and 1.0 cm3 of it has a mass of 3.2...

A disk of radius 2.5 cm has a surface charge density of 5.3C/m2 on its upper face. What is the magnitude of the electric field produced by the disk at a point on its central axis at distance z = 12cm...

Two blocks, one with mass m1 = 0.050 kg and one with mass m 2 = 0.030 kg, are connected to one another by a string. The inner block is connected to a central pole by another string as shown in the...

A lightning flash transfers 4.0 C of charge and 4.2 MJ of energy to the Earth. (a) Across what potential difference did it travel? (b) How much water could this boil and vaporize, starting from room...

Suppose that f is a function of two variables (y and z) only. Show that the gradient f = (f/y)y + (f/z)z transforms as a vector under rotations, Eq. 1.29.

A baseball is hit at ground level. The ball reaches its maximum height above ground level 3.0 s after being hit. Then 2.5 s after reaching its maximum height, the ball barely clears a fence that is...

A certain storm cloud has a potential of 1.00 x 108 V relative to a tree. If, during a lightning storm, 50.0 C of charge is transferred through this potential difference and 1.00% of the energy is...

Two charges are placed as shown in Fig. 17-35 with q1 = 1.5μC and Q2 = 3.3μC. Find the potential difference between points A and B. 91 0.10 m 13 0.10 m

Electromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from an accelerating charge that has charge q and acceleration a is given by where c is the speed of...

A particle is confined to the one-dimensional infinite potential well of figure. If the particle is in its ground state, what is its probability of detection between?(a) x = 0 and x = 025L,(b) x =...

What is the difference in blood pressure (mm-Hg) between the top of the head and bottom of the feet of a 1.60-m-tall person standing vertically?

How many joules of energy does a 100-watt light bulb use per hour? How fast would a 70-kg person have to run to have that amount of kinetic energy?

Two solid cylinders connected along their common axis by a short, light rod have radius R and total mass M and rest on a horizontal tabletop. A spring with force constant k has one end attached to a...

A 3.0-g copper penny has a positive charge of 38C. What fraction of its electrons has it lost?

Given the two charges shown in Fig. 16-68, at what position (s) x is the electric field zero? Is the field zero at my other points, not on the x axis? -Q2 d x-

A laser used to weld detached retinas puts out 28-ms-long pulses of 640-nm light which average 0.68-W output during a pulse. How much energy can be deposited per pulse and how many photons does each...

In Figure a crate slides down an inclined right-angled trough. The coefficient of kinetic friction between the crate and the trough ir ? k .What is the acceleration of the crate in terrns of ? k , ,...

A fish maintains its depth in fresh water by adjusting the air content of porous bone or air sacs to make its average density the same as that of the water. Suppose that with its air sacs collapsed,...

An archer needs to hit a bulls eye on a target at eye level 60.0 ft away. If the archer fires the arrow from eye level with a speed of 47.0 ft/s at an angle of 25.0 above the horizontal, will the...

Roads going up mountains are formed into switchbacks, with the road weaving back and forth along the face of the slope such that there is only a gentle rise on any portion of the roadway. Does this...

The preceding problem was an artificial model for the charging capacitor, designed to avoid complications associated with the current spreading out over the surface of the plates. For a more...

An infinite non-conducting sheet has a surface charge density = +5.80pC/m2. (a) How much work is done by the electric field due to the sheet if a particle of charge q = + 1.60 x 10-19 C is moved...

In Figure, the four particles form a square of edge length a = 5.00 cm and have charges q 1 = + 10.0 nC, q 2 = 20.0 nC , q 3 = +20.0 nC, and q 4 = 10.0 nC. In unit-vector notation, what net electric...

To an Earth observer, meter sticks on three spaceships are seen to have these lengths. Rank the speeds of the spaceships relative to Earth from highest to lowest. B C

How much electromagnetic energy per cubic meter is contained in sunlight, if the intensity of sunlight at the Earths surface under a fairly clear sky is 1 000 W/m2?

A typical cost for electric power is 12.0 per kilowatt-hour. (a) Some people leave their porch light on all the time. What is the yearly cost to keep a 75-W bulb burning day and night? (b) Suppose...

Vector A is in the negative y direction, and vector B is in the negative x direction. What are the directions of? (a) A X B (b) B X A?

Coherent light with wavelength 400nm passes through two very narrow slits that are separated by 0.200 mm and the interference pattern is observed on a screen 4.00 m from the slits. (a) What is the...

A stone is dropped at t - 0. A second stone, with twice the mass of the first, is dropped from the same point at t = 100ms. (a) How far below the release point is the center of mass of the two stones...

In Figure a uniform beam of length 12.0 m is supported by a horizontal cable and a hinge at angle = 50.0?. The tension in the cable is 400 N. In unit-vector notation, what are?. (a) The...

Calculate (a) The Fermi temperature and (b) The Fermi energy at T = 0 for iron.

A 12.0-m-long steel beam is accidentally dropped by a construction crane from a height of 9.00 m. The horizontal component of the Earths magnetic field over the region is 18.0 T. What is the induced...

The electric motor of a model train accelerates the train from rest to 0.620 m/s in 21.0 ms. The total mass of the train is 875 g. Find the average power delivered to the train during the...

In Fig. 9.38, the cylinder and pulley turn without friction about stationary horizontal axles that pass through their centers. A light rope is wrapped around the cylinder. passes over the pulley, and...

What is the thermal efficiency of an engine that operates by taking n moles of diatomic ideal gas through the cycle 1→2 → 3→4 →1 shown in Fig.20.27? 2po Po V. 2Vo Vo

Resolution of a Microscope The image formed by a microscope objective with a focal length of 5.00 mm is 160 mm from its second focal point. The eyepiece has a focal length of 26.0 mm. (a) What is the...

A point charge q is imbedded at the center of a sphere of linear dielectric material (with susceptibility Xe and radius R). Find the electric field, the polarization, and the bound charge densities,...

A single slit is illuminated by light of wavelengths a and b chosen so that the first diffraction minimum of the ab component coincides with the second minimum of the b component. (a) If b = 350nm,...

A nurse needs to draw 20.0 cc of blood from a patient and deposit it into a small plastic container whose interior is at atmospheric pressure. He inserts the needle end of a long tube into a vein...

A 1.2-m plank with a mass of 3 kg rests on two joists. Knowing that the coefficient of static friction between the plank and the joists is 0.30, determine the magnitude of the horizontal force...

A particle moves under the influence of a central force given by F(r) = k/rn, If the particles orbit is circular and passes through the force center, show that n = 5.

A particle moves in a plane under the influence of a force f = Ara-1 directed toward the origin; A and a (> 0) are constants. Choose appropriate generalized coordinates, and let the potential energy...

A rectangular cast-iron column 16.0 cm x 16.0 cm x 4.50 m supports a weight of 7.95 x 106 N. Find the stress on the top of the column.

An ideal monatomic gas is taken through the cycle in the PV diagram. (a) If there are 0.0200 mol of this gas, what are the temperature and pressure at point C? (b) What is the change in internal...

The rubidium isotope 87/37Rb, a emitter with a half-life of 4.75 X 1010 yr, is used to determine the age of rocks and fossils. Rocks containing fossils of ancient animals contain a ratio of 87/38Sr...

To pull a 50 kg crate across a horizontal frictionless floor, a worker applies a force of 210 N, directed 20o above the horizontal. As the crate moves 3.0 m, what work is done on the crate by (a) The...

Party hearing as the number of people at a party increases you must raise your voice for a listener to hear you against the background noise of the other partygoers. However, once you reach the level...

A car travels at 120 km/hr. If the earth's magnetic field is 4.3 X 105 Wb/m2, find the induced voltage in the car bumper of length 1.6 m. Assume that the angle between the earth magnetic field and...

A Coil spring of mass m rests upright on a table. If you compress the spring by pressing down with your hand and then release it, can the spring leave table? Explain, using the law of conservation of...

A thin glass rod of radius R and length L carries a uniform surface charge . It is set spinning about its axis, at an angular velocity to. Find the magnetic field at a distance s >> R from the center...

In Figure two blocks are connected over a pulley. The mass of block A is 10 kg, and the coefficient of kinetic friction between A and the incline is 0.20. Angle of the incline is 30 o . Block 4...

In Figure, wheel A of radius rA = 10 cm is coupled by belt B to wheel C of radius rc = 25 cm. The angular speed of wheel A is increased from rest at a constant rate of I.6 rad/s2. Find the time...

A heavy crate rests on the bed of a flatbed truck. When the truck accelerates, the crate remains where it is on the truck, so it, too, accelerates. What force causes the crate to accelerate?

A current I flows down a long straight wire of radius a. If the wire is made of linear material (copper, say, or aluminum) with susceptibility Xm, and the current is distributed uniformly, what is...