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...
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...
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...
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...
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 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?
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...
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...
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.
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...
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...
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...
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...
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.
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.
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?...
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?
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...
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...
The figure shows two displacement vectors and . Vector points at an angle of 22 o above has an x component B x = 35.0 m and has an unknown y component B y . These two vectors are equal. Concepts: (i)...
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...
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...
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...
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...
The magnitude of the force vector F is 82.3 new tons. The x component of this vector is directed along the +x-axis and has a magnitude of 74.6 new tons. The y component points along the +y-axis. (a)...
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...
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
A 3.0-g copper penny has a positive charge of 38C. What fraction of its electrons has it lost?
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...
Two atmospheric sound sources A and B emit isotropically at constant power. The sound levels F of their emissions are plotted in Figure versus the radial distance r from the sources. The vertical...
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...
The point of support of a simple pendulum of mass m and length b is driven horizontally by x = a sin wt. Find the pendulums equation of motion.
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....
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?
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...
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 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 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...
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 =...
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...
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...
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?
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,...
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
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...
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,...
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?
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
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...
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...
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...
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 , ,...
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...
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-
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 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...
The method by which the massive lintels (top stones) were lifted to the top of the upright stones at Stonehenge has long been debated. One possible method was tested in a small Czech town. A concrete...
Calculate (a) The Fermi temperature and (b) The Fermi energy at T = 0 for iron.
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 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 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...
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 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.
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 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 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...
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?
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...
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...
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...
Unpolarized light falls on two polarizer sheets whose transmission axes are at right angles. A third polarizer is placed between the first two so that its axis makes a 62o angle with the axis of the...
A proton is in a box of width L. What must the width of the box be for the ground-level energy to be 5.0 MeV, a typical value for the energy with which the particles in a nucleus are bound? Compare...
Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.0 s, it rotates 25 rad. During that time, what are the magnitudes of (a) The angular acceleration...
What are? (a) The speed and (b) The period of a 220 kg satellite in an approximately circular orbit 640 km above the surface of Earth? Suppose the satellite loses mechanical energy at the average...
A block is sliding on a frictionless surface along a loop-the-loop, as in Figure (a). The block is moving fast enough that it never loses contact with the track. Match the points along the track to...
A uniform, spherical, l000.0-kg shell has a radius of 5.00 m. (a) Find the gravitational force this shell exerts on a 2.00-kg point mass placed at the following distances from the center of the...
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.
(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...
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...
For an 84 kg person standing at the equator, what is the magnitude of the angular momentum about Earth's center due to Earth's rotation?
(a) Find the speed of waves on a violin string of mass 800 mg and length 22.0 cm if the fundamental frequency is 920 Hz. (b) What is the tension in the string? For the fundamental, what is the...
A lossy material has = 5o, = 2o. If at 5 MHz, the phase constant is 10rad/m, calculate (a) The loss tangent (b) The conductivity of the material (c) The complex permittivity (d) The attenuation...
A small block is at rest on the floor at the front of a railroad boxcar that has length L. The coefficient of kinetic friction between the floor of the car and the block is k. The car, originally at...
The laser in a CD player must precisely follow the spiral track, along which the distance between one loop of the spiral and the next is only about 1.25 /m. A feedback mechanism lets the player know...
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 thermodynamic system is taken from state A to state B to state C., and then back to A, as shown in the p-V diagram of Figure a. The vertical scale is set by ps = 40Pa, and the horizontal scale is...
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 100 W sodium lamp ( = 589 nm) radiates energy uniformly in all directions. (a) At what rate are photons emitted by the lamp? (b) At what distance from the lamp will a totally absorbing screen...
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.
If an f = 135-mm telephoto lens is designed to cover object distances from 1.2 m to 00, over what distance must the lens move relative to the plane of the film?
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...
Two particles in a high-energy accelerator experiment approach each other head-on with a relative speed of 0.890c. Both particles travel at the same speed as measured in the laboratory. What is the...
A simple harmonic oscillator at the point x = 0 generates a wave on a rope. The oscillator operates at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. The rope has a linear mass density of...
Compute your average velocity in the following two cases: (a) You walk 73.2 m at a speed of 1.22 m/s and then run 73.2 m at a speed of 3.05 m/s along a straight track. (b) You walk for 1.00 min at a...
Divalent ionic crystals Barium oxide has the NaC1 structure. Estimate the cohesive energies per molecule of the hypothetical crystals Ba + O and Ba ++ O referred to separated neutral atoms. The...
The amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?