A wedge with mass M rests on a frictionless horizontal tabletop. A block with mass m is placed on the wedge and a horizontal force F is applied to the wedge (Fig. S.84b). What must the magnitude of F...
The magnetic field B at the center of a circular coil of wire carrying a current l (as in Fig, 20-9) is Where N is the number of loops in the coil and r is its radius. Suppose that an electromagnet...
What is the probability of finding a particle in a box of length L in the region between x = L/4 and x = 3L/4 when the particle is in (a) The ground level and (b) The first excited level? (c) Are...
Grains of fine California beach sand are approximately spheres with an average radius of 50m and are made of silicon dioxide, which has a density of 2600 kg/m3. What mass of sand grains would have a...
A spaceship lifts off vertically from the Moon, where g = 1.6 m/s2. If the ship has an upward acceleration of 1.0 m/s2 as it lifts off, what is the magnitude of the force exerted by the ship on its...
A wall 2 cm thick is to be constructed from material that has an average thermal conductivity of 1.3 W/m C. The wall is to be insulated with material having an average thermal conductivity of 0.35...
A house has well-insulated walls. It contains a volume of 100 m3 of air at 300 K. (a) Calculate the energy required to increase the temperature of this diatomic ideal gas by 1.00C. (b) What If? If...
Two known charges, -12.0 C and 45.0 C, and an unknown charge are located on the x axis. The charge -12.0 C is at the origin, and the charge 45.0 C is at x = 15.0 cm. The unknown charge is to be...
A metal bar, pivoted at one end, oscillates freely in the absence of a magnetic field, its oscillations are quickly damped out. Explain. (This magnetic damping is used in a number of practical...
A puck of mass m = 1.50kg slides in a circle of radius r = 20.0 cm on a frictionless table while attached to a hanging cylinder of mass M = 2.50 kg by a cord through a hole in the table (Figure)....
A Carnot engine has a power output of 150 kW. The engine operates between two reservoirs at 20.0C and 500C. (a) How much energy does it take in per hour? (b) How much energy is lost per hour in its...
An electromagnetic wave in vacuum has an electric field amplitude of 220 V/m. Calculate the amplitude of the corresponding magnetic field.
Treat the problem of wave propagation along a string loaded with particles of two different masses, m and m, which alternate in placement; that is, Show that the w k curve has two branches in this...
Find the force law for a central-force field that allows a particle to move in a spiral orbit given by r = k2, where k is a constant.
Two slits spaced 0.450 mm apart are placed 75.0 cm from a screen. What is the distance between the second and third dark lines of the interference pattern on the screen when the slits are illuminated...
Suppose that the current through a conductor decreases exponentially with time according to the equation I (t) = Ioe-t/r where I0 is the initial current (at t = 0), and + is a constant having...
In Figure a ball of mass m = 60 g is shot with speed vi = 22 m/s into the barrel of a spring gun of mass M = 240 g initially at rest on a frictionless surface. The ball sticks in the barrel at the...
A recruit can join the semi-secret "300 F" club at the Amundsen-Scott South Pole Station only when the outside temperature is below 70oC. On such a day, the recruit first basks in a hot sauna and...
Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in Figure. A linearly...
One mole of an ideal gas is heated slowly so that it goes from the PV state (Pi , Vi) to (3Pi, 3Vi) in such a way that the pressure is directly proportional to the volume. (a) How much work is done...
A certain toaster has a heating element made of Nichrome wire. When the toaster is first connected to a 120-V source (and the wire is at a temperature of 20.0C), the initial current is 1.80 A....
Show that the gravitational self-energy (energy of assembly piecewise from infinity) of a uniform sphere of mass M and radius R is 3 GM? 5 R
Two blocks of masses 1.0kg and 3.0 kg are connected by a spring and rest on a frictionless surface. They are given velocities toward each other such that the 1.0 kg block travels initially at 1.7m/s...
Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 6370 km. Satellite B is to orbit at an altitude...
The slope distance and zenith angle observed from point P to point Q were 2013.875 m and 95o 13' 04' , respectively. The instrument and rod target heights were equal. If the elevation of point P is...
Positive charge Q is uniformly distributed around a semicircle of radius a (Fig. 21.49). Find the electric field (magnitude and direction) at the center of curvature P.
(a) For what frequencies does a 22.0-F capacitor have a reactance below 175 ? (b) What If? Over this same frequency range, what is the reactance of a 44.0-F capacitor?
How much energy would be required to break a helium nucleus into its constituents, two protons and two neutrons? The rest masses of a proton (including an electron), a neutron, and helium are,...
Figure shows a cold package of hot dogs sliding rightward across a frictionless floor through a distance d = 20.0 cm while three forces act on the package. Two of them are horizontal and have the...
1. Find the total force on the bottom of a cylindrical water tower 55.0 m high and 7.53 m in radius. 2. Find the total force on the side of a cylindrical water tower 55.0 m high and 7.53 m in radius....
Two identical uniform bricks of length L are placed in a stack over the edge of a horizontal surface with the maximum overhang possible without falling, as in Figure P12.24. Find the distance x....
Energy is to be stored in a 70.G-kg flywheel in the shape of a uniform solid disk with radius R = 1.20 m. To prevent structural failure of the flywheel, the maximum allowed radial acceleration of a...
Squaw Valley ski area in California claims that its lifts can move 47,000 people per hour. If the average lift carries people about 200m (vertically) higher, estimate the power needed.
From what maximum height can a 75-kg person jump without breaking the lower leg bone of either leg? Ignore air resistance and assume the CM of the person moves a distance of 0.60 m from the standing...
A 30.0-cm long solenoid 1.25cm in diameter is to produce a field of 0.385 T at its center. How current should the solenoid carry if it has 975 turns of the wire?
A telephone line has the following parameters: R = 40 /m, G = 400S/m, L = 0.2H/m, C = 0.5nF/m (a) If the line operates at 10 MHz, calculate the characteristic impedance Zo and velocity u. (b) After...
One cubic meter of atomic hydrogen at 0C and atmospheric pressure contains approximately 2.70 X 1025 atoms. The first excited state of the hydrogen atom has an energy of 10.2 eV above the lowest...
On the way to the Moon the Apollo astronauts reached a point where the Moons gravitational pull became stronger than the Earths. (a) Determine the distance of this point from the center of the Earth....
Later in our study of physics we will encounter quantities represented by (A X 11) C. (a) Prove that for any three vectors A, B, and C, A (B X c) = (A X B) C. (b) Calculate (A X B) C for the three...
A planet of density p1 (spherical core, radius R1) with a thick spherical cloud of dust (density p2, radius R2) is discovered. What is the force on a particle of mass m placed within the dust cloud?
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...
A circular curve of highway is designed for traffic moving at 60 km/h. Assume the traffic consists of cars without negative lift. (a) If the radius of the curve is 150 m, what is the correct angle of...
In Figure, a uniform electric field E collapses. The vertical axis scale is set by E s = 6.0 x 103N/C, and the horizontal axis scale is set by E s = 12.0s. Calculate the magnitude of the displacement...
Compare Amperes law with the BiotSavart law. Which is more generally useful for calculating B for a current carrying conductor?
What is the resistance of toaster if 120V produces a current of 4.2A?
An electron has a de Broglie wavelength = 5.0 x 1010m. (a) What is its momentum? (b) What is its speed? (c) What voltage was needed to accelerate it to this speed?
In Figure ?a? both batteries have emf ? = 1.20 V and the external resistance R is a variable resistor. Figure ?b? gives the electric potentials 7 between the terminals of each battery as functions of...
In a lecture demonstration, an empty can is used to demonstrate the force exerted by air pressure (Fig. 9.35). A small quantity of water is poured into the can, and the water is brought to a boil....
Two small speakers emit sound waves of different frequencies. Speaker A has an output of 1.00 mW, and speaker B has an output of 1.50 mW. Determine the sound level (in dB) at point C (Fig. P17.31) if...
(a) What is the current in a 5.60- resistor connected to a battery that has a 0.200- internal resistance if the terminal voltage of the battery is 10.0 V? (b) What is the emf of the battery?
A bookcase weighing 1500 N rests on a horizontal surface for which the coefficient of static friction is p = 0.40. The bookcase is 1.80 m tall and 2.00 m wide; its center of gravity is at its...
The isotope: 32/15P is produced by the reaction; n +? 32/15P + p. what must be the target nucleus?
A single-slit diffraction pattern is formed by monochromatic electromagnetic radiation from a distant source passing through a slit 0.105 mm wide. At the point in the pattern 3.250 from the center of...
A certain radioactive (parent) nucleus transforms to a different (daughter) nucleus by emitting an electron and a neutrino. The parent nucleus was at rest at the origin of an xy coordinate system....
The wheel in Figure has eight equally spaced spokes and a radius of 30 cm. It is mounted on a fixed axle and is spinning at 2.5 rev/s. You want to shoot a 20-cm-long arrow parallel to this axle and...
A long, straight wire has fixed negative charge with a linear charge density of magnitude 3.6nC/m. The wire is to be enclosed by a coaxial, thin-walled non-conducting cylindrical shell of radius 1.5...
Fight possesses momentum. This can be demonstrated with a radiometer, shown in the sketch. Metal vanes painted black on one side and white on the other are free to rotate around the point of a needle...
A force in the + x-direction has magnitude F = b/xn, where b and n are constants. (a) For n > 1, calculate the work done on a particle by this force when the particle moves along the x-axis from x =...
Comparing Thermodynamic Processes In a cylinder, 1.20 mol of an ideal monatomic gas, initially at 3.60 X 105 Pa and 300 K, expands until its volume triples. Compute the work done by the gas if the...
A certain microscope is provided with objectives that have focal lengths of 16 mm, 4 mm, and 1.9 mm and with eyepieces that have angular magnifications of 5 x and l0 X. Each objective forms an image...
Figure shows a Geiger counter, a device used to detect ionizing radiation, which causes ionization of atoms. A thin, positively charged central wire is surrounded by a concentric, circular,...
An air-track cart with mass m1 = 0.32 kg and initial speed v0 = 0.85 m/s collides with and sticks to a second cart that is at rest initially. If the mass of the second cart is m2 = 0.44 kg, how much...
Entering the Freeway a car sits in an entrance ramp to a freeway, waiting for a break in the traffic. The driver accelerates with constant acceleration along the ramp and onto the freeway. The car...
How many moles of water are there in 1.000 L? How many molecules?
Estimate the observed wavelength for the 656-nm line in the Balmer series of hydrogen in the spectrum of a galaxy whose distance from us is (a) 1.0 x 106 ly, (b) 1.0 x 108 ly, (c) 1.0 x 1010 ly.
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...
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...
A 2.50 kg beverage can is thrown directly downward from a height of 4.00 m, with an initial speed of 3.00 m/s the at drag on the can is negligible. What is the kinetic energy of the can? (a) As it...
Show that the difference between decibel levels B1 and B2 of a sound is related to the ratio of the distances r1 and r2 from the sound source by B2 B2 = 20 log (r1/r2)
A railroad train is traveling at 25.0 m/s in still air. The frequency of the note emitted by the locomotive whistle is 400 Hz. What is the wavelength of the sound waves? (a) In front of the...
Two wires, parallel to a z axis and a distance 4r apart, carry equal currents i in opposite directions, as shown in Figure. A circular cylinder of radius r and length L has its axis on the z axis,...
Two gravitating masses m1 and m2 (m1 + m2 = M) are separated by a distance r0 and released from rest. Show that when the separation is r ( 2G/1 2G/1
Figure shows a closed Gaussian surface in the shape of a cube of edge length 2.00 m. It lies in a region where the electric field is given by E = (3.00x + 4.00)i + 6.00j + 7.00k N/C, What is the net...
An auto transmission of mass 165 kg is located 1.00 m from one end of a 2.50-m bench. What weight must each end of the bench support?
(a) From the expression for E obtained in Problem 22.40, find the expressions for the electric potential V as a function of r, both inside and outside the cylinder. Let V = 0 at the surface of the...
A cylindrical copper rod of length 1.50 m and radius 2.00 cm is insulated to prevent heat loss through its curved surface. One end is attached to a thermal reservoir fixed at 300oC; the other is...
In Figure, R 1 = 6.00 , R 2 = 18.0 , and the ideal battery has emf = 12.0 V. What are the (a) Size and (b) Direction (left or right) of current i 1 ? (c) How much energy is dissipated by all four...
Use the rules for multiplication and division of measurements to find the value of each of the following. 1. (18 ft) (290 lb)/4.6 s 2. (18.5 kg) (4.65 m)/19.5 s 3. 4500 mi/12.3 h 4. 48.9 kg (1.5 m)...
A string on a musical instrument is held under tension T and extends from the point x = 0 to the point x = L. The string is over wound with wire in such a way that its mass per unit length (x)...
Two traveling sinusoidal waves are described by the wave functions y1 = (5.00 m) sin [ (4.00x 1 200t)] And y2 = (5.00 m) sin [ (4.00x 1 200t 0.250)] Where x, y1, and y2 are in meters and t is in...
On a printed circuit board, a relatively long straight conductor and a conducting rectangular loop lie in the same plane, as shown in Figure P31.9. Taking h = 0.400 mm, w = 1.30 mm, and L = 2.70 mm,...
A 5.00-m, 0.732-kg wire is used to suppose two uniform 235-N posts of equal length (Fig. 15.37). Assume that the wire is essentially horizontal and that the speed of sound is 344 m/s. A strong wind...
An asteroid with a diameter of l0 km and a mass of 2.60 X 1015 kg impacts the earth at a speed of 32.0 km/s, landing in the Pacific Ocean. If 1.00% of the asteroid's kinetic energy goes to boiling...
On July 10, 1996, a granite block broke away from a wall in Yosemite Valley and, as it began to slide down the wall, was launched into projectile motion. Seismic waves produced by its impact with the...
At some instant the velocity components of an electron moving between two charged parallel plates are vx = 1.5 x 105 m/s and vy = 3.0 x 103 m/s. Suppose the electric field between the plates is given...
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...
A rectangular loop of N closely packed turns is positioned near a long straight wire as shown in Figure. What is the mutual inductance M for the loop-wire combination if N = 100, a = 1.0cm, b = 8.0...
In Figure, a beam of unpolarized light, with intensity 43 W/m2, is sent into a system of two polarizing sheets with polarizing directions at angles 1 =70? and 2 = 90? to the y axis. What is the...
A beam of light consisting of wavelengths from 460.0 nm to 640.0 nm is directed perpendicularly onto a diffraction grating with 160lines/mm. (a) What is the lowest order that is overlapped by another...
A perfectly conducting flat screen occupies half of the x-y plane (i.e., x 0 and wave number ? is incident along the z axis from the region z 0. Let the coordinates of the observation point be (X, 0,...
Use Coulombs law to determine the magnitude and direction of the electric field at points A and B in Fig. 16-57 due to the two positive charges (Q = 7.0μC) shown. Are your results consistent with...
You sight along the rim of a glass with vertical sides so that the top rim is lined up with the opposite edge of the bottom (Fig. 33.48a). The glass is a thin-walled, hollow cylinder 16.0cm high with...
An L-C circuit containing an 80.0-mH inductor and a 1.25-nF capacitor oscillates with a maximum current of 0.750 A. Calculate: (a) The maximum charge on the capacitor and (b) The oscillation...
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...
Calculate the magnitude of the drag force on a missile 53 cm in diameter cruising at 250 m/s at low altitude, where the density of air is 1.2 kg/m 3 . Assume C = 0.75.
A sinusoidal wave of angular frequency 1200 rad/s and amplitude 3.00 mm is sent along a cord with linear density 2.00 glm and tension 1200 N. (a) What is the average rate at which energy is...
How many joules of heat need to be removed from 1.25 kg of steam at 115C to condense it to water and cool the water to 50C?
The index of refraction of crown glass is 1.515 for red light and 1.523 for blue light. (a) If light of both colors is incident on crown glass from air, the blue color will be refracted (1) more, (2)...
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...
An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in...