A loudspeaker diaphragm is oscillating in simple harmonic motion with a frequency of 440 Hz and a maximum displacement of 0.75 mm. What are the (a) Angular frequency, (b) Maximum speed, and (c)...
An electron is placed in an xy plane where the electric potential depends on x and y as shown in Figure (the potential does not depend on z). The scale of the vertical axis is set by Vs = 500 V. In...
Thin lenses Object O stands on the central axis of a thin symmetric lens. For this situation, each problem in Table 34-6 gives object distance p (centimeters), the type of lens (C stands for...
In a constant-volume process, 209 J of energy is transferred by heat to 1.00 mol of an ideal monatomic gas initially at 300 K. Find (a) The increase in internal energy of the gas, (b) The work done...
The creation and study of new elementary particles is an important part of contemporary physics. Especially interesting is the discovery of a very massive particle. To create a particle of mass M...
A deep-sea diver is suspended beneath the surface of Loch Ness by a l00-m-Iong cable that is attached to a boat on the surface (Fig. 15.40). The diver and his suit have a total mass of 120 kg and a...
Given three lightbulbs and a battery, sketch as many different electric circuits as you can.
Light with a frequency of 5.80 x 1014 Hz travels in a block of glass that bas an index of refraction of 1.52. What is the wavelength of the light? (a) In vacuum and (b) In the glass?
At time t = 0, the operator of the road roller disengages the transmission so that the vehicle rolls down the incline (see Figure). Determine an expression for the vehicle's speed as a function of...
You connect a light string to a point on the edge of a uniform vertical disk with radius R and mass M. The disk is free to rotate without friction about a stationary horizontal axis through its...
A wave pulse on a string has the dimensions showninFig.15.31 at t = 0. The wave speed is 40 cm/s. (a) If point o is a fixed end, draw the total wave on the string at t = 15 ms, 20ms, 25 ms, 30 ms, 35...
Hot Air in a Physics Leeture (a) A typical student listening attentively to a physics lecture has a heat output of 100 W. How much heat energy does a class of 90 physics students release into a...
Consider the wave packet defined by Let B(k) = e a2k2 (a) The function B(k) has its maximum value at k = 0. Let kh, be the value of k at which B(k) bas fallen to half its maximum value, and define...
Proton in a well figure shows electric potential V along an x axis. The scale of the vertical axis is set by Vs = 10.0 V. A proton is to be released at x = 3.5 cm with initial kinetic energy 4.00eV....
Leiden frost effect a water drop that is slung onto a skillet with a temperature between 100oC and about 200oC will last about 1 s. However, if the skillet is much hotter, the drop can last several...
Figure represents an insect caught at the midpoint of a spider-web thread. The thread breaks under a stress of 8.20 x 108 N/m2 and a strain of 2.00. Initially, it was horizontal and had a length of...
A 125-kg (including all the contents) rocket bas an engine that produces a constant vertical force (the thrust) of 1720 N. Inside this rocket, a 15.5-N electrical power supply rests on the floor. (a)...
One end of a horizontal rope is attached to a prong of an electrically driven tuning fork that vibrates the rope transversely at 120 Hz. The other end passes over a pulley and supports a 1.5D-kg...
A solenoid has 120 turns uniformly wrapped around a wooden core, which has a diameter of 10.0 mm and a length of 9.00 cm. (a) Calculate the inductance of the solenoid. (b) What If? The wooden core is...
A small block with mass m rests on a frictionless horizontal tabletop a distance r from a hole in the center of the table (Fig. 5.79). A string tied to the small block passes down through the hole,...
A 220-kg wooden raft floats on a lake. When a 75-kg man stands on the raft, it sinks 4.0cm deeper into the water. When the steps off, the raft vibrates for a while. (a) What is the frequency of...
A thin hoop of radius R and mass M oscillates in its own plane hanging from a single fixed point. Attached to the hoop is a small mass M constrained to move (in a frictionless manner) along the hoop....
The electric field along the axis of a uniformly charged disk of radius R and total charge Q was calculated in Example 23.9. Show that the electric field at distances x that are large compared with R...
(a) Show that the flow velocity measured by a century meter (see Fig. 10.30) is given by the relation (b) A venturi tube is measuring the flow of water; it has a main diameter of 3.0cm tapering down...
A woman is draining her fish tank by siphoning the water into an outdoor drain, as shown in Figure P14.74. The rectangular tank has footprint area A and depth h. The drain is located a distance d...
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as where p0, a, and b are positive constants and r is the distance from the axis of the...
A liquid is irregularly stirred in a well-insulated container and thereby undergoes a rise in temperature. Regard the liquid as the system. (a) Has heat been transferred? How can you tell? (b) Has...
A cyclist is coasting at a steady speed of 12 m/s but enters a muddy stretch where the effective coefficient of friction is 0.60. Will the cyclist emerge from the muddy stretch without having to...
A certain copper wire has a resistance of 10.0. At what point along its length must the wire be cut so that the resistance of one piece is 4.0 times the resistance of the other? What is the...
Find the ratio of the radius R to the height H or a right-circular cylinder of fixed volume V that minimizes the surface area A.
Figure shows three crates being pushed over a concrete floor by a horizontal force F of magnitude 440N. The masses of the crates are m 1 = 30.0kg, m 2 = 10.0kg, and m 3 = 20.0kg. The coefficient of...
An electron moves through a uniform magnetic field given by B = Bx i + (3.0Bx) j. At a particular instant, the electron has velocity v = (2.0i + 4.0) j m/s and the magnetic force acting on it is (6.4...
Babinet's principle, a monochromatic beam of parallel light is incident on a "collimating" hole of diameter x >> A. Point P lies in the geometrical shadow region on a distant screen (Figure a) Two...
A square loop of side a?recedes with a uniform velocity u o a v from an infinitely long filament carrying current I along az?as shown in figure. Assuming that ? = ? o at time t = 0, show that the emf...
A mixing beater consists of three thin rods, each 10.0 cm long. The rods diverge from a central hub, separated from each other by 120, and all turn in the same plane. A ball is attached to the end of...
A baseball player hits a foul ball straight up into the air. It leaves the bat with a speed of 120 km/h. In the absence of air resistance, how fast will the ball be travelling when the catcher...
Consider an Al-12% Mg alloy (Figure 11-29). During solidification, determine (a) The composition of the first solid to form; (b) The liquidus temperature, solidus temperature, solvus temperature, and...
In a test of a "g-suit," a volunteer is rotated in a horizontal circle of radius 7.0 m. What must the period of rotation be so that the centripetal acceleration has a magnitude of (a) 3.0g? (b) 109?
Time Needed for a Lake to Freeze over. (a) When the air temperature is below 0oC, the water at the surface of a lake freezes to form an ice sheet. Why doesn't freezing occur throughout the entire...
Two identical tuning forks can oscillate at 440Hz. A person is located somewhere on the line between them. Calculate the beat frequency as measured by this individual if (a) She is standing still and...
The position vector for a proton is initially r = 5.0i 6.0j + 2.0k and then later is r = 2.0i + 6.0i + 2.0k, all in meters. (a) What is the proton's displacement vector, and (b) To what plane is...
Determine Vo and Io in the circuit of Fig. 10.80 using mesh analysis. j4 4-30 A
The total consumption of electrical energy in the United States is about 1.0 X IOt9 J per year. (a) What is the average rate of electrical energy consumption in watts? (b) The population of the...
A passenger sitting in the rear of a bus claims that she was injured as the driver slammed on the brakes, causing a suitcase to come flying toward her from the front of the bus. If you were the judge...
A grating has 8300 lines/cm. How many complete spectral orders can be seen (400nm to 700nm) when it is illuminated by white light?
Everyday Time Dilation two atomic clocks are carefully synchronized. One remains in New York, and the other is loaded on an airliner that travels at an average speed of 250m/s and then returns to New...
The particle P travels with a constant speed of 300 mm/s along the curve. Determine its acceleration when it is located at point (200 mm, 100 mm). y (mm) 2010) 9 x (mm)
Tarzan, who weighs 688N, swings from a cliff at the end of a vine 18m long (Figure). From the top of the cliff to the bottom of the swing, he descends by 3.2m. The vine will break if the force on it...
An object is placed against the center of a spherical mirror and then moved 70 cm from it along the central axis as the image distance i is measured. Figure gives i versus object distance p out to...
A three-span continuous beam ABCD with three equal spans supports a uniform load of intensity q (see figure). Determine all reactions of this beam and drawn the shear-force and bending-moment...
A particle with a mass of 0.500 kg is attached to a spring with a force constant of 50.0 N/m. At time t = 0 the particle has its maximum speed of 20.0 m/s and is moving to the left. (a) Determine the...
The weight of a king's solid crown is w. When the crown is suspended by a light rope and completely immersed in water, the tension in the rope (the crowns apparent weight) is fw. (a) Prove that the...
A plate of glass 9.00cm long is placed in contact with a second plate and is held at a small angle with it by a metal strip 0.0800 mm thick placed under one end. The space between the plates is...
In Figure, a ball is shot directly upward from the ground with an initial speed of v0 =7.00 m/s, simultaneously a construction elevator cab begins to move upward from the ground with a constant speed...
A possible means of space flight is to place a perfectly reflecting aluminized sheet into orbit around the Earth and then use the light from the Sun to push this solar sail. Suppose a sail of area...
A horizontal boom is supported at its left end by a frictionless pivot. It is held in place by a cable attached to the right-hand end of the boom. A chain and crate of total weight w hang from...
What would be the sound level (in dB) of a sound wave in air that corresponds to a displacement amplitude of vibrating air molecules of 0.13mm at 300 Hz?
Three charged particles are placed at the corners of an equilateral triangle of side 1.20m (Fig. 16-53). The charges are + 4.0μC, - 8.0μC, and 6.0μC. Calculate the magnitude and direction of...
Monochromatic light with wavelength 620 nm passes through a circular aperture with diameter 7.4 ",m. The resulting diffraction pattern is observed on a screen that is 4.5 m from the aperture. What is...
(a) In Problem, remove sphere A and calculate the gravitational potential energy of the remaining three-particle system. (b) Lt A is then put back in place, is the potential energy of the...
Figure shows a thin rod, of length L = 2.00 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A ball of mass m = 5.00 kg is attached to the other end. The rod is...
An automobile accident causes both the driver and passenger front airbags to deploy. (a) If the vehicle was traveling at a speed of 88.6 km/h and is now at rest, find the change in momentum for both...
The distance between two telephone poles is 50.0 m. When a 1.00-kg bird lands on the telephone wire midway between the poles, the wire sags 0.200 m. Draw a free-body diagram of the bird. How much...
A straight cylindrical wire lying along the x axis has a length L and a diameter d. It is made of a material that obeys Ohms law with a resistivity %. Assume that potential V is maintained at x = 0,...
An electromagnetic wave has a magnetic field given by B(x, t) = (8.25 x 10-9 T)j sin[(1.38 x 104rad/m)x + wt]. (a) In which direction is the wave traveling? (b) What is the frequency f of the wave?...
The flywheel of an engine is rotating at 25-A rad/s. When the engine is turned off, the flywheel slows at a constant rate and stops in 20.0 s. Calculate (a) The angular acceleration of the flywheel,...
The radius Rh and mass Mh of a black hole are related by Rh = 2GMh/c2, where c is the speed of light. Assume that the gravitational acceleration ar of an object at a distance ro = 1.001Rh, from the...
A beam contains 2.0 x 108 doubly charged positive ions per cubic centimeter, all of which are moving north with a speed of 1.0 x 105 m/s. What are the (a) Magnitude and (b) Direction of the current...
A certain electric dipole is placed in a uniform electric field E of magnitude 40 N/C. Figure gives the magnitude of the torque on the dipole not versus the angle between field E and the dipole...
Course AB of a five-sided traverse runs due north. From the given balanced interior angles to the right, compute and tabulate the bearings and azimuths from north for each side of the traverses in...
Consider the sleeve made from two copper tubes joined by tin-lead solder over distance s. The sleeve has brass caps at both ends, which are held in place by a steel bolt and washer with the nut...
A borosilicate glass (82% SiO2, 2% Al2O3, 4% Na2O, 12% B2O3) has a density of 2.23 g/cm3, while a fused silica glass (assume 100% SiO2) has a density of g/cm3. Explain why the density of the...
In a stunt being filmed for a movie, a sports car overtakes a truck towing a ramp, drives up and off the ramp, soars into the air, and then lands on top of a flat trailer being towed by a second...
Batteries are rated in terms of ampere-hours (A h). For example, a battery that can produce a current of 2.00 A for 3.00 h is rated at 6.00 A h. (a) What is the total energy, in kilowatt-hours,...
(a) Derive Eq. (9.12) by combining Eqs. (9.7) and (9.11) to eliminate f (b) The angular velocity of an airplane propeller increases from 12.0 rad/s to 16.0 rad/s while turning through 7.00 rad. What...
Two friends are carrying a 200-kg crate up a flight of stairs. The crate is 1.25 m long and 0.500 m high, and its center of gravity is at its center. The stairs make a 45.0° angle with respect to...
Doppler Radar. A giant thunderstorm is moving toward a weather station at 45.0mi/h (20.1 m/s). If the station sends a radar beam of frequency 200.0 MHz toward the storm, what is the difference in...
A point charge of mass 0.210kg, and net charge + 0.340μC hangs at rest at the end of an insulating string above a large sheet of charge. The horizontal sheet of uniform charge creates a uniform...
The capacity of a storage battery, such as those used in automobile electrical systems, is rated in ampere-hours (A h). A 50- A h battery can supply a current of 50 A for 1.0 h, or 25 A for 2.0 h,...
An Earth satellite has a perigee of 300 km and an apogee of 3,500 km above Earths surface. How far is the satellite above Earth when (a) It has rotated 90o around Earth from perigee and (b) It has...
Estimate the binding energy of the H2 molecule, assuming the two H nuclei are 0.074nm apart and the two electrons spend 33% of their time midway between them.
A ladder of length L and mass M has its bottom end attached to the ground by a pivot. It makes an angle ? with the horizontal, and is held up by a massless stick of length ? which is also attached to...
A crate of eggs is located in the middle of the flat bed of a pickup truck as the truck negotiates an un-banked curve in the road. The curve may be regarded as an arc of a circle of radius 35.0 m. If...
A cube is placed so that one comer is at the origin and three edges are along the x-, y-, and z-axes of a coordinate system (Fig. 1.43). Use vectors to compute (a) The angle between the edge along...
Hexagonal emit-packed structure Consider first Brillouin zone of a crystal with a simple hexagonal lattice in three dimensions with lattice constants a and c. Let G c denote the shortest reciprocal...
(a) Explain what happens to the balls of Problem 54 if one of them is discharged (loses its charge q to, say, the ground).(b) Find the new equilibrium separation x, using the given values of L and m...
The radar system of a navy cruiser transmits at a wavelength of 1.6 cm, from a circular antenna with a diameter of 2.3 m. At a range of 6.2 km, what is the smallest distance that two speedboats can...
A charge + q is at the origin. A charge -2q is at x = 2.00 m on the x axis. For what finite value(s) of x is (a) The electric field zero? (b) The electric potential zero?
A uniformly charged disk like the disk in Fig. 21.26 has radius 2.50 cm and carries a total charge of 4.0 X 10-12 C. (a) Find the electric field (magnitude and direction) on the x-axis at x = 20.0...
An alien spacecraft is flying overhead at a great distance as you stand in your backyard. You see its searchlight blink on for 0.190 s. The first officer on the spacecraft measures that the...
The potential energy of a diatomic molecule (a two-atom system like H2 or O) is given by where r is the separation of the two atoms of the molecule and A and B are positive constants. This potential...
In her hand a softball pitcher swings a ball of mass 0.250 kg around a vertical circular path of radius 60.0 cm before releasing it from her hand. The pitcher maintains a component of force on the...
Falling Baseball You drop a baseball from the roof of a tall building. As the ball falls, the air exerts a drag force proportional to the square of the ball's speed (f= Dv2). (a) In a diagram, show...
Using the definition of the scalar product, find the angles between (a) A = 3i 2j and B = 4i 4j; (b) A = 2i + 4j and B = 3i + 4j + 2k; (c) A = i 2j + 2k and B = 3j + 4 k.
A rocket is launched vertically from rest with a constant upward acceleration of 1.75 m/s'. Suddenly 220 s after launch, an unneeded fuel tank is jettisoned by shooting it away from the rocket. A...
A parallel-plate capacitor has plates with area 0.0225 m2 separated by 1.00 mm of Teflon. (a) Calculate the charge on the plates when they are charged to a potential difference of 12.0 V. (b) Use...
A block of mass M, supported by a string, rests on an incline making an angle θ with the horizontal. The string's length is L and its mass is m
A particle is projected with an initial velocity v0 up a slope that makes an angle a with the horizontal. Assume frictionless motion and find the time required for the particle to return to its...
An automobile drag racer drives a car with acceleration a and instantaneous velocity v. The tires (of radius r0) are not slipping Find which point on the tire has the greatest acceleration relative...
Red light with wavelength 700 nm is passed through a two slit apparatus. At the same time, monochromatic visible light with another wavelength passes through the same apparatus. As a result, most of...