Spherical mirrors Object O stands on the central axis of a spherical mirror. For this situation, each problem in Table 34-3 gives object distance p, (centimeters), the type of mirror, and then the...
A 10.0-μF capacitor is charged to 15.0 V. It is next connected in series with an uncharged 5.00-%F capacitor. The series combination is finally connected across a 50.0-V battery, as diagrammed in...
An airplane is flying with a velocity of 90.0 m/s at an angle of 23.0o above the horizontal. When the plane is 114 m directly above a dog that is standing on level ground, a suitcase drops out of the...
As shown in Fig. 10.46, a string is wrapped several times around the rim of a small hoop with radius 0.0800 m and mass 0.180 kg. The free end of the string is pulled upward in just the right way so...
Pyramid Builders. Ancient pyramid builders are balancing a uniform rectangular slab of stone tipped at an angle 6 above the horizontal using a rope (Fig. 11.61). The rope is held by five workers who...
An electric teakettle has a multiposition switch and two heating coils. When only one of the coils is switched on, the well-insulated kettle brings a full pot of water to a boil over the time...
Chin-Ups while doing a chin-up, a man lifts his body 0.40 m. (a) How much work must the man do per kilogram of body mass? (b) The muscles involved in doing a chin-up can generate about 70 I of work...
An aircraft engine takes in 9000 J of heat and discards 6400 J each cycle. (a) What is the mechanical work output of the engine during one cycle? (b) What is the thermal efficiency of the engine?
The current in an electromagnet connected to a 240-V line is 17.5 A. At what rate must cooling water pass over the coils if the water temperature is to rise by no more than 7.50Co?
A 200-m-wide river has a uniform flow speed of 1.1 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that...
Let A = 2xyax + xzay - yaz. Evaluate A dv over: (a) A rectangular region 0 < x < 2, 0 < y < 2, 0 < z < 2 (b) A spherical region r < 4
Four railroad cars, each of mass 2.50 X 104 kg, are coupled together and coasting along horizontal tracks at speed vi toward the south. A very strong but foolish movie actor, riding on the second...
The filament of an incandescent lamp has a 150-2 resistance and carries a direct current of 1.00 A. The filament is 8.00 cm long and 0.900 mm in radius. (a) Calculate the Poynting vector at the...
An outfielder throws a baseball with an initial speed of 81.8 mi/h. Just before an infielder catches the ball at the same level, the ball's speed is 110 ft/s. In foot-pounds, by how much is the...
In Figure, light enters a 90? triangular prism at point P with incident angle , and then some of it refracts at point Q with an angle of refraction of 90?. (a) What is the index of refraction of the...
Certain rifles can fire a bullet with a speed of 965 m/s just as it leaves the muzzle (this speed is called the muzzle velocity). If the muzzle is 70.0 cm long and if the bullet is accelerated...
A ship, carrying fresh water to a desert island in the Caribbean, has a horizontal cross-sectional area of 2650m2 at the waterline. When unloaded, the ship rises 8.50m higher in the sea. How much...
A charged parallel-plate capacitor (with uniform electric field E = E z) is placed in a uniform magnetic field B = B x, as shown in Fig. 8.6. 3 (a) Find the electromagnetic momentum in the space...
A liquid with a coefficient of volume expansion ' just fills a spherical shell of volume Vi at a temperature of Ti (see Fig. P19.47). The shell is made of a material that has an average coefficient...
To an order of magnitude, how many helium-filled toy balloons would be required to lift you? Because helium is an irreplaceable resource, develop a theoretical answer rather than an experimental...
How far out on the diving board (Fig 9-42) would a 58-kg diver have to be to exert a torque of 1100 m N on the board, relative to the left (A) support post?
A steel wire 2.0 mm in diameter stretches by 0.030% when a mass is suspended from it. How large is the mass?
A beam of light is emitted in a pool of water from a depth of 62.0cm. Where must it strike that air-water interface, relative to the spot directly above it, in order that the light does not exit the...
Consider a point course of light. How would the intensity of light vary with distance from the source according to? (a) Wave theory (b) Particle (photon) theory? Would this help to distinguish the...
A layer of benzene (n = 1.50) 2.60 cm deep floats on water (n = 1.33) that is 6.50 cm deep. What is the apparent distance from the upper benzene surface to the bottom of the water layer when it is...
A small loop of wire (radius a) lies a distance z above the center of a large loop (radius b), as shown in Fig. 7.36. The planes of the two loops are parallel, and perpendicular to the common axis....
Cancer cells are more vulnerable to x and gamma radiation than are healthy cells. In the past, the standard source for radiation therapy was radioactive 60Co, which decays, with a half-life of 5.27...
Use mesh analysis to find i1, i2, and i3 in the circuit of Fig. 3.97? Figure 3.97 6) 8 3 A 121. i3
Dry air will break down and generate a spark if the electric field exceeds about 3 X 106N/C. How much charge could be packed onto a green pea (diameter 0.75cm) before the pea spontaneously discharges?
A 60.0-kg person is standing at rest on level ground. How fast would she have to run to (a) Double her total energy and (b) Increase her total energy by a factor of 10?
(a) What will an object weigh on the Moon's surface if it weights 100 N on Earth's surface? (b) How many Earth radii must this same object be from the center of Earth if it is to weight the same as...
How much work must be done to increase the speed of an electron? (a) From 0.18c to 0.19c and (b) From 0.98c to 0.99c? Note that the speed increase is 0.01c in both cases.
Two students with vibrating 440-Hz tuning forks walk away from each other with equal speeds. How fast must they walk so that they each hear a frequency of 438 Hz from the other fork?
A solar cooker, really a concave mirror pointed at the Sun, focuses the Suns rays 18.0 cm in front of the mirror. What is the radius of the spherical surface from which mirror was made?
An inductor used in a dc power supply has an inductance of 12.0 H and a resistance of 180 O. It carries a current of 0.300 A. (a) What is the energy stored in the magnetic field? (b) At what rate is...
Vectors d1 is in the negative direction of a y axis, and vector d2 is in the positive direction of an x axis. What is the direction of? (a) d2/4 and (b) d1/( 4)? What are the magnitudes of products?...
Consider an infinite parallel-plate capacitor, with the lower plate (at z = ?? d/2) carrying the charge density -a, and the upper plate (at z = +d/2) carrying the charge density (a) Determine all...
Inductance of a Solenoid. A long, straight solenoid has N tums, uniform cross-sectional area A, and length I. Show that the inductance of this solenoid is given by the equation L = oAN2/l. Assume...
A thin uniform donut, carrying charge Q and mass M, rotates about its axis as shown in Fig. 5.64. (a) Find the ratio of its magnetic dipole moment to its angular momentum. This is called the...
A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 30 kg box as shown in Figure. The outer radius R of the device is 0.50 m, and the radius r of the hub is 0.20 m. When...
In Figure, three 5.00 kg spheres are located at distances d1 = 0.300 m and d2 = 0.400 m. What are the(a) Magnitude and(b) Direction (relative to the positive direction of the x axis) of the net...
In Figure observer S detects two flashes of light. A big flash occurs at x1 = 1200 m and, 5.00s later, a small flash occurs at x2 = 480 m. As detected by observer S', the two flashes occur at a...
If you stand on a bathroom scale, the spring inside the scale compresses 0.60 mm, and it tells you your weight is 710 N. Now if you jump on the scale from a height of 1.0m, what does the scale read...
A block with a weight of 3.0 N is at rest on a horizontal surface. A 1.0 N upward force is applied to the block by means of an attached vertical string. What are the (a) Magnitude and (b) Direction...
A particle of charge + 3.00 x 10-6 C is 12.0 cm distant from a second particle of charge 1.50 x 10-6 g. Calculate the magnitude of the electrostatic force between the particles.
A small circular hole 6.00 nun in diameter is cut in the side of a large water tank, 14.0 m below the water level in the tank. The top of the tank is open to the air. Find (a) The speed of efflux of...
A cylindrical tank has a tight-fitting piston that allows the volume of the tank to be changed. The tank originally contains 0.110 m3 of air at a pressure of 3.40 atm. The piston is slowly pulled out...
Two plastic spheres, each carrying charge uniformly distributed throughout its interior, are initially placed in contact and then released. One sphere is 60.0 cm in diameter, has mass 50.0 g and...
A particle of mass m is constrained to move on the surface of a sphere of radius R by ab applied force F (, ). Write the equation of motion.
A dielectric cube of side a, centered at the origin, carries a "frozen-in" polarization P = kr, where k is a constant. Find all the bound charges, and check that they add up to zero.
A certain force gives an object of mass m1 an acceleration of 12.0 m/s2 and an object of mass wt2 ?rr acceleration of 3.30 m/s2. What acceleration would the force give to an object of mass? (a) m2 ...
Four bricks of length L, identical and uniform, are stacked on a table in two ways, as shown in Figure. We seek to maximize the overhang distance h in both arrangements. Find the optimum distances...
The volume of an ideal gas is adiabatically reduced from 200 L to 74.3 L. The initial pressure and temperature are 1.00 atm and 300 K. The final pressure is 4.00 atm. (a) Is the gas monatomic,...
A helium-neon laser emits red light at wavelength = 633 nm in a beam of diameter 3.5 mm and at an energy-emission rate of 5.0mW. A detector in the beam's path totally absorbs the beam. At what rate...
For the plane trusses shown in Figures P3-29 and P3-30, determine the horizontal and vertical displacements of node 1 and the stresses in each element. All elements have E = 210 GPa and A = 4.0 10-4...
The 5-lb ball, attached to the cord, is struck by the boy. Determine the smallest speed he must impart to the ball so that tit will swing around in a vertical circle, without causing the cord to...
A 2000-kg block is lifted at a constant speed of 8 cm/s by a steel cable that passes over a massless pulley to a motor-driven winch (Figure). The radius of the winch drum is 30 cm. (a) What force...
The consumption of natural gas by a company satisfies the empirical equation V = 1.50t + 0.008 00t 2, where V is the volume in millions of cubic feet and t the time in months. Express this equation...
A projectile is fired horizontally from a gun that is 45.0 m above flat ground, emerging from the gun with a speed of 250 m/s. (a) How long does the projectile remain in the air? (b) At what...
The charge per unit length on a long, straight filament is '90.0 %C/m. Find the electric field (a) 10.0 cm, (b) 20.0 cm, and (c) 100 cm from the filament, where distances are measured perpendicular...
Consider the circuit shown in Fig. The current through the 6.00-Ω resistor is 4.00 A, in the direction shown. What are the currents through the 25.0-Ω and 20.0-Ω resistors? 4.00 A...
An FM radio station has a frequency of 107.9 MHz and uses two identical antennas mounted at the same elevation, 12.0 m apart. The antennas radiate in phase. The resulting radiation pattern has a...
A ballerina begins a tour jete, (Figure) with angular speed ai and a rotational inertia consisting of two parts: Ileg = 1.44 kg m2 for her leg extended outward at angle = 90.0 to her body and Itrunk...
In Figure an arrangement known as Helmholtz coils consists of two circular coaxial coils, each of N turns and radius R, separated by distance s. The two coils carry equal currents i in the same...
A ball is tied to one end of a string. The other end of the string is held fixed. The ball is set moving around a vertical circle without friction, and with speed at the top of the circle, as in...
A long, straight wire carries a current that is given by I = Imax sin (wt + 2) and lies in the plane of a rectangular coil of N turns of wire, as shown in Figure P31.9. The quantities Imax, w, and...
The earth does not have a uniform density; it is most dense at its center and least dense at its surface. An approximation of its density is p(r) = A - Br, where A = 12,700kg/rri' and B = 1.50 X 10...
One arm of a U-shaped tube (open at both ends) contains water, and the other alcohol. If the two fluids meet at exactly the bottom of the U, and alcohol is at a height of 18.0 cm, at what height will...
In Fig 12-16, if the frequency of the speakers were lowered, would the points D and C (where destructive and constructive interference occur) move farther apart or closer together?
Calculate the binding energy per nucleon for a 14/7N nucleus.
Fresh water flows horizontally from pipe section 1 of cross-sectional area Al into pipe section 2 of cross-sectional area A2. Figure gives a plot of the pressure difference p2 ?? p1 versus the...
A thin-walled metal spherical shell has radius 25.0 cm and charge 2.00 x 10-7 g. Find E for a point (a) Inside the shell, (b) Just outside it, and (c) 3.00 m from the center
The Fermi energy of aluminum is 11.6 eV its density and molar mass are 2.70 g/cm3 and 27.0 g/mol, respectively. From these data, determine the number of conduction electrons per atom.
Fill in the blank with the most reasonable metric unit (m3, L, mL, m2, cm2, ha). 1. Go to the store and buy 4 _____ of root beer for the party. 2. I drank 200 _____ of orange juice for breakfast. 3....
Two smooth coins A and B, each having the same mass, slide on a smooth surface with the motion shown, determine the speed of each coin after collision if they move off along the dashed paths. Hint:...
(a) Show that the function y(x, t) = x2 + v2t2 is a solution to the wave equation. (b) Show that the function in part (a) can be written as f (x # vt) # g(x " vt), and determine the functional forms...
An infinitely long straight wire carrying a current I1 is partially surrounded by a loop as shown in Figure P30.65. The loop has a length L, radius R, and carries a current I2. The axis of the loop...
The atmosphere of the planet Mars is 95.3% carbon dioxide (CO2) and about 0.03% water vapor. The atmospheric pressure is only about 600 Pa, and the surface temperature varies from 30oC to -100oC....
A charge of 6.00mC is placed at each corner of a square 0.100m on a side. Determine the magnitude and direction of the force on each charge.
A 120-V hair dryer has two settings; 850 W and 1250W. (a) At which setting do you expect the resistance to be higher? After making a guess, determine the resistance at (b) The lower setting; and (c)...
Focus of the Eye. The cornea of the eye has a radius of curvature of approximately 0.50 cm, and the aqueous humor behind it has an index of refraction of 1.35. The thickness of the cornea itself is...
An Object at an Angle A 16.0-cm-long pencil is placed at a 45.0? angle, with its center 15.0 cm above the optic axis and 45.0 cm from a lens with a 20.0-cm focal length as shown in Fig. 34.65. (Note...
Observing Planets beyond Our Solar System NASA is considering a project called Planet Imager that would give astronomers the ability to see details on planets orbiting other stars. Using the same...
A toaster is rated at 600 W when connected to a 120-V source. What current does the toaster carry, and what is its resistance?
Binary Star-Equal Masses Two identical stars with mass M orbit around their center of mass. Each orbit is circular and has radius R, so that the two stars are always on opposite sides of the circle....
The worlds biggest locomotive is the MK5000C, a behemoth of mass 160 metric tons driven by the most powerful engine ever used for rail transportation, a Caterpillar diesel capable of 5 000 hp. Such a...
If projectile is fired from the origin of the coordinate system with an initial velocity vo and in direction making and angle a with the horizontal, calculate the time required for the projectile to...
A combination of 0.250 kg of water at 20.0C, 0.400 kg of aluminum at 26.0C, and 0.100 kg of copper at 100C is mixed in an insulated container and allowed to come to thermal equilibrium. Ignore any...
A uniform rope with length L and mass m is held at one end and whirled in a horizontal circle with angular velocity w. You can ignore the force of gravity on the rope. Find the time required for a...
An air-filled parallel-plate capacitor has capacitance C0. If two identically sized dielectric slabs of dielectric constants K1 and K2 are inserted as shown in Fig. 19-64, what is the new capacitance?
A particle of mass m slides down and inclined plane under the influence of gravity. If the motion is resisted by a force ∫ = kmv2, show that the time required to move a distance d after starting...
A bola consists of three massive, identical spheres connected to a common point by identical lengths of sturdy string (Figure). To launch this native South American weapon, you hold one of the...
Steam at 100C is added to ice at 0C. (a) Find the amount of ice melted and the final temperature when the mass of steam is 1.0 g and the mass of ice is 50.0 g. (b) What If? Repeat when the mass of...
A spaceship and its occupant have a total mass of 150,000kg. The occupant would like to travels to a star that is 25 light-years away at a speed of 0.60c. to accelerated, the engine of the spaceship...
For both converging and diverging lenses, discuss how the focal length for red light differs from that for violet light.
A75 kg window cleaner uses a 10 kg ladder that is 5.0 m long. He places one end on the ground 2.5 m from a wall, rests the upper end against a cracked window, and climbs the ladder. He is 3.0 m up...
A van accelerates down a hill (Fig. P5.69), going from rest to 30.0 m/s in 6.00 s. During the acceleration, a toy (m =0.100 kg) hangs by a string from the vans ceiling. The acceleration is such that...
An emf of 24.0 mV is induced in a 500-turn coil at an instant when the current is 4.00 A and is changing at the rate of 10.0 A/s. What is the magnetic flux through each turn of the coil?
Two fun-loving otters are sliding toward each other on a muddy (and hence Iiictioo1ess) horizontal surface. One of them, of mass 7.so kg, is sliding to the left at 5.00 m/s, while the other, of mass...
Pressure on Venus. At the surface of Venus the average temperature is a balmy 460oC due to the greenhouse effect (global warming!), the pressure is 92 Earth-atmospheres, and the acceleration due to...