(a) Suppose a charge distribution P 1 (r) produces a potential V 1 (r), and some other charge distribution p 2 (r) produces a potential V 2 (r). [The two situations may have nothing in common, for...

The intensity of sunlight hitting the earth is about 1300 W/m2. If sunlight strikes a perfect absorber, what pressure does it exert? How about a perfect reflector? What fraction of atmospheric...

An air rifle shoots a lead pellet by allowing high-pressure air to expand, propelling the pellet down the rifle barrel. Because this process happens very quickly, no appreciable thermal conduction...

Two ropes in a vertical plane exert equal magnitude forces on a hanging weight but pull with an angle of 86.00 between them. What pull does each one exert if their resultant pull is 372 N directly...

In Figure a block is released from rest at height d = 40 cm and slides down a frictionless ramp and onto a first plateau, which has length d and where the coefficient of kinetic friction is 0.50. If...

How far apart must two protons be if the magnitude of the electrostatic force acting on either one due to the other is equal to the magnitude of the gravitational force on a proton at Earth's surf...

A uniform cylinder of mass M and radius R has a string wrapped around it. The string is held fixed, and the cylinder falls vertically as shown in Figure. (a) Show that the acceleration of the...

The wind exerts on a flower the force 0.785 N horizontally to the east. The stem of the flower is 0.450 m long and tilts toward the east, making an angle of 14.0 with the vertical. Find the vector...

Draw a free-body diagram of a block which slides down a frictionless plane having an inclination of θ = 15.0° (Fig. P5.22). The block starts from rest at the top and the length of the...

A bar magnet is spun at constant angular speed w around an axis as shown in Figure P31.38. A stationary flat rectangular conducting loop surrounds the magnet, and at t = 0, the magnet is oriented as...

Consider a column of electric current passing through plasma (ionized gas). Filaments of current within the column are magnetically attracted to one another. They can crowd together to yield a very...

Determine the maximum angle & for which the light rays incident on the end of the pipe in Figure P35.38 are subject to total internal reflection along the walls of the pipe. Assume that the pipe has...

A Gasoline Engine a gasoline engine takes in 1.61 X 104 J of heat and delivers 3700 J of work per cycle. The heat is obtained by burning gasoline with a heat of combustion of 4.60 X 104 J/g. (a) What...

A planet requires 300 (Earth) days to complete its circular orbit around its sun, which has a mass of 6.0 x 1030 kg. What are the planets? (a) Orbital radius and (b) Orbital speed?

The circuit shown in Fig. 19-67 uses a neon-filled tube as in Fig. 19-23a. This neon lamp has a threshold voltage V) for conduction, because no current flows until the neon gas in the tube is ionized...

(a) Show that if two thin lenses of focal lengths f1 and f2 are placed in contact with each other, the focal length of the combination is given by fT = f1 f2 / (f1 + f2). (b) Show that the power P of...

Compute the line integral of v = (r cos2 ) r ?? (r cos sin ) + 3r around the path shown in Fig. 1.50 (the points are labeled by their Cartesian coordinates). Do it either in cylindrical or in...

In Figure, a 1400kg clock kg block of granite is pulled up an incline at a constant speed of 1.34 m/s by a cable and winch. The indicated distances are d 1 = 40 m and d 2 = 30 m. The coefficient of...

Two point charges, q1 = + 20.0 nC and q2 = + 10.0 nC, are located on the x -axis at x = 0 and x = 1.00 m, respectively. Where on the x -axis is the electric field equal to zero?

Compare the minimum thickness needed for an antireflective coating (n = 1.38) applied to a glass lens in order to eliminate. (a) Blue (450nm), or (b) Red (700nm) reflections for light at normal...

A force F in the positive direction of an x axis acts on an object moving along the axis. If the magnitude of the force is F = 10ex/2.0 N, with x in meters, find the work done by F as the object...

During the launch from a board, a diver's angular speed about her center of mass changes from zero to 6.20 rad/s in 220ms. Her rotational inertia about her center of mass is 12.0 kg-m2. During the...

Any device that allows you to increase the force you exert is a kind of machine. Some machines, such as the prybar or the inclined plane, are very simple. Some machines do not even look like...

A rope of total mass m and length L is suspended vertically. Show that a transverse pulse travels the length of the rope in a time interval t = 2Lig. (Suggestion: First find an expression for the...

A solid copper sphere whose radius is 1.0 cm has a very thin surface coating of nickel. Some of the nickel atoms are radioactive, each atom emitting an electron as it decays. Half of these electrons...

A cat rides a merry-go-round turning with uniform circular motion. At time t1 = 2.00 s, the cat's velocity is v1 = (3.00 m/s) i + (4.00 m/s) j, measured on a horizontal xy coordinate system. At t2 =...

Find the Thevenin equivalent of the circuit in Fig. 10.103 as seen from: (a) Terminals a-b (b) Terminals c-d cd O a 2020 V

A quarterback throws a football straight toward a receiver with an initial speed of 20.0 m/s, at an angle of 30.0 above the horizontal. At that instant, the receiver is 20.0 m from the quarterback....

When a certain photoelectric surface is illuminated with light of different wavelengths, the following stopping potentials are observed:Plot the stopping potential on the vertical axis against the...

A curve of radius 30 m is banked so that a 950- kg car traveling 40 km/h can round it even if the road is so icy that the coefficient of static friction is approximately zero. Find the range of...

A vertical cylinder with a heavy piston contains air at a temperature of 300 K. The initial pressure is 200 kPa, and the initial volume is 0.350 m3. Take the molar mass of air as 28.9 g/mol and...

A stone of mass m is thrown upward at an angle above the horizontal and feels no appreciable air resistance. Use conservation of energy to show that at its highest point, it is a distance V02 (sin2...

A bellow, t bin-walled sphere of mass 12.0 kg and diameter 48.0 cm is rotating about an axle through its center. The angle (in radians) through which it turns as a function of time (in seconds) is...

Use the results of Example 12.5 (Section 12.3) to calculate the escape speed for a spacecraft (a) From the surface of Mars; and (b) From the surface of Jupiter. Use the data in Appendix F. (c) Why is...

The potential difference between the cloud and ground in a typical lightning discharge may be up to 100 MV (million volts). What is the gain in kinetic energy of an electron accelerated through this...

A pendulum is made of a uniform solid sphere with mass M and radius R suspended from the end of a light rod. The distance from the pivot at the upper end of the rod to the center of the sphere is L....

A tightly stretched high wire is 46 m long. It sags 2.2m when a 60.0-kg tightrope walker stands at its center. What is the tension in the wire? Is it possible to increase the tension in the wire so...

For a lightly damped oscillator, show that Q w0/w (Equation 3.65).

A high-speed railway car goes around a flat, horizontal circle of radius 470 m at a constant speed. The magnitudes of the horizontal and vertical components of the force of the car on a 51.0 kg...

A 1.00-mol sample of air (a diatomic ideal gas) at 300 K, confined in a cylinder under a heavy piston, occupies a volume of 5.00 L. Compute the final volume of the gas after 4.40 kJ of energy is...

The planet Uranus has a radius of 25,560 km and a surface acceleration due to gravity of11.1 rn/s2 at its poles. Its moon Miranda (discovered by Kniper in 1948) is in a circular orbit about Uranus at...

Don't Miss the Boal While on a visit to Minnesota ("Land of 10,000 Lakes''), you sign up to take an excursion around one of the larger lakes. When you go to the dock where the 1500- kg boat is tied,...

Use conservation of angular momentum to estimate the angular velocity of a neutron star which has collapsed to a diameter of 20km, from a star whose radius was equal to that of our Sun (7 x 108m), of...

A 15 kg block is accelerated at 2.0m/s2 along a horizontal frictionless surface, with the speed increasing from 10 m/s to 30 m/s. What are? (a) The change in the block's mechanical energy and (b) The...

Physicists, mathematicians, and others often deal with large numbers. The number 10100 has been given the whimsical name googol by mathematicians. Let us compare some large numbers in physics with...

Write down the (real) electric and magnetic fields for a monochromatic plane wave of amplitude E0, frequency co, and phase angle zero that is (a) Traveling in the negative x direction and polarized...

A block weighing 10.0 N is attached to the lower end of a vertical spring (k = 200.0 N/m), the other end of which is attached to a ceiling. The block oscillates vertically and has a kinetic energy of...

The chocolate crumb mystery this story begins with Problem 56 in Chapter 23 and continues through Chapters 24 and 25. The chocolate crumb powder moved to the silo through a pipe of radius R with...

Consider a damped oscillator as illustrated in Figures 15.21 and 15.22. Assume the mass is 375 g, the spring constant is 100 N/m, and b = 0.100 N4 s/m. (a) How long does it takes for the amplitude to...

A police car at rest, passed by a speeder traveling at a constant 120km/h takes off in hot pursuit. The police officer catches up to the speeder in 750m, maintaining a constant acceleration. (a)...

Derive the expression for the phase paths of the plane pendulum if the total energy is E > 2mgl. Note that this is just the case of a particle moving in a periodic potential U () = mgl (1 - cos ).

An object lying on Earth's equator is accelerated (a) Toward the center of Earth because Earth rotates, (b) Toward the Sun because Earth revolves around the Sun in an almost circular orbit, and (c)...

A heat engine takes in 360 J of energy from a hot reservoir and performs 25.0 J of work in each cycle. Find (a) The efficiency of the engine and (b) The energy expelled to the cold reservoir in each...

A tuning fork is set into vibration above a vertical open tube filled with water (Fig. 12-35). The water level is allowed to drop slowly. As it does so, the air in the tube above the water level is...

An iceboat has a constant velocity toward the east when a sudden gust of wind causes the iceboat to have a constant acceleration toward the east for a period of 3.0 s. A plot of x versus / is shown...

The car-in-the-garage problem, car man has just purchased the world's longest stretch limo, which has a proper length of Lc = 30.5 m. In Figure a, it is shown parked in front of a garage with a...

The shock waves A, B, C are produced by supersonic aircraft. Rank their speeds from greatest to least. B.

A prismatic bar of diameter d0 = 20 mm is being compared with a stepped bar of the same diameter (d1 = 20 mm) that is enlarged in the middle region to a diameter d2 = 25 mm (see figure). The radius...

A Constant-Volume Gas Thermometer An experimenter using a gas thermometer found the pressure at the triple point of water (0.01C) to be 4.80 X l04Pa and the pressure at the normal boiling point...

Consider a thin disk composed of two homogeneous halves connected along a diameter of the disk. If one half has density p and the other has density 2p, find the expression for the Lagrangian when the...

An atomic spectrum contains a line with a wavelength centered at 488nm. Careful measurements show the line is really spread out between 487and 489 nm. Estimate the lifetime of the excited state that...

The critical density for closure of the universe is pc 10 26 kg/m3 state pc in terms of the average number of nucleons per cubic meter.

(a) Using the Bohr model, calculate the speed of the electron in a hydrogen atom in the n = 1,2 and 3 levels. (b) Calculate the orbital period in each of these levels. (c) The average lifetime of the...

1. A 10.0-kg mass has a potential energy of 10.0 J when it is at what height? 2. A 10.0-lb weight has a potential energy of 20.0 ft lb at what height? 3. At what speed does a 1.00-kg mass have a...

The quarter-car weight of a certain vehicle is 625 lb and the weight of the associated wheel and axle is 190 lb. The suspension stiffness is 8000 lb/ft and the tire stiffness is 10,000 lb/ft. If the...

The hay bale of Problem 11.77 is dragged along a horizontal surface with constant speed by a force F (Fig. 11.58). The coefficient of kinetic friction is 0.35. (a) Find the magnitude of the force F....

A horizontal, uniform, copper rod has an original length 10, cross-sectional area A, Young's modulus Y, and mass m. It is supported by a frictionless pivot at its right end and by a cable at its left...

Two billiard balls of equal mass undergo a perfectly elastic head-on collision. If one balls initial speed was 2.00m/s, and the others was 3.00m/s in the opposite direction, what will be their speeds...

If the air pressure at a particular place in the mountains is 0.72atm, estimate the temperature at which water boils.

A cyclotron with a radius of 1.0m is to accelerate deuterons (2/1H) to an energy of 12MeV. (a) What is the required magnetic field? (b) What frequency is needed for the voltage between the dees? (c)...

Ricardo, of mass 80 kg, and Carmelita, who is lighter, are enjoying Lake Merced at dusk in a 30 kg canoe. When the canoe is at rest in the placid water, they exchange seats, which are 3.0 m apart and...

Air in a thundercloud expands as it rises. If its initial temperature is 300 K and no energy is lost by thermal conduction on expansion, what is its temperature when the initial volume has doubled?

Find the dimension of the parallelepiped of maximum volume circumscribed by (a) A sphere of radius R; (b) An ellipsoid with semi axes a, b, c.

If a particle is projected vertically upward to a height h above a point on Earths surface at a northern latitude , show that it strikes the ground at a point 4/3 w cos 8h3/g to the west (Neglect air...

In Figure, initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of 1 = 2 = 3 = 50? with the direction of the y axis. What percentage of...

The coefficient of static friction between a rubber tire and the road surface is 0.85. What is the maximum acceleration of a 1000-kg four-wheel-drive truck if the road makes an angle of 12 with the...

A solar cooker consists of a curved reflecting surface that concentrates sunlight onto the object to be warmed (Fig. P20.63), the solar power per unit area reaching the Earths surface at the location...

Two points A and B on the surface of the Earth are at the same longitude and 60.0 apart in latitude. Suppose that an earthquake at point A creates a P wave that reaches point B by traveling straight...

An R-C circuit has a time constant RC. (a) If the circuit is discharging, how long will it take for its stored energy to be reduced to 1/e of its initial value? (b) If it is charging, how long will...

A Charged Dielectric Disk. A thin disk of dielectric material with radius a has a total charge + Q distributed uniformly over its surface. It rotates n times per second about an axis perpendicular to...

A mirror at an amusement park shows and upright image of any person who stand 1.4 m in front of it if the image is three times the persons height, what is the radius of curvature?

Accelerometer the system shown in Fig. 5.76 can be used to measure 1he acceleration of 1he system. An observer riding on the platform measures the angle θ that the 1hread supporting the light...

In an experiment, two protons are shot directly toward each other, each moving at half the speed of light relative to the laboratory. (a) What speed does one proton measure for the other proton? (b)...

A 6090 kg space probe moving nose-first toward Jupiter at 105 m/s relative to the Sun fires its rocket engine, ejecting 80.0 kg of exhaust at a speed of 253 m/s relative to the space probe. What is...

A spin 3/2 nucleus situated at the origin is subjected to an external inhomogeneous electric field. The basic electric quadrupole interaction may be taken to be where ? is the electrostatic potential...

Two circular loops are parallel, coaxial, and almost in contact, 1.00 mm apart (Fig. P30.59). Each loop is 10.0 cm in radius. The top loop carries a clockwise current of 140 A. The bottom loop...

(a) Where is the near point of an eye for which a contact lens with a power of + 2.75 diopters is prescribed? (b) Where is the far point of an eye for which a contact lens with a power of -1.30...

In Figure two speakers separated by distance dt = 2.00 m are in phase. Assume the amplitudes of the sound waves from the speakers are approximately the same at the listener's ear at distance d2 =...

Two loudspeakers, A and B, radiate sound uniformly in all directions in air at 20°C. The acoustic power output from A is 8.00 X 10-4 W, and from B it is 6.00 X 10-5 W. Both loudspeakers are...

Suppose a current is given by the equation l = 1.80sin 210r, where l is in amperes and t in seconds. (a) What is the frequency? (b) What is the rms value of the current? (c) If this is the current...

A particle of mass m at the end of a light string wraps itself about a fixed vertical cylinder of radius a (Figure 9-F). All the motion is in the horizontal plane (disregard gravity). The angular...

An L-R-C series circuit is connected to a 120-Hz ac source that has Vrms = 80.0 V. The circuit has a resistance of 75.0 and an impedance at this frequency of 105. What average power is delivered to...

(a) Let F1 = x2 z and F2 = x x + y y + z z. Calculate the divergence and curl of F1 and F2. Which one can be written as the gradient of a scalar? Find a scalar potential that does the job. Which one...

Solve for the axial displacement and stress in the tapered bar shown in Figure P3-12 using one and then two constant-area elements. Evaluate the area at the center of each element length. Use that...

A beat engine takes 0.350 mol of a diatomic ideal gas around the cycle shown in the pV-diagram of fig. 20.24. Process I 2 is at constant volume, process 23 is adiabatic, and process 3 1 is at a...

After being produced in a collision between elementary particles, a positive pion (' +) must travel down a 1.20-km-Iong tube to reach an experimental area. A ' + particle has an average lifetime...

Quantum Effects in Daily Life a 1.25-mg insect flies through a 4.00-mm-diameter hole in an ordinary window screen. The thickness of the screen is 0.500 mm. (a) What should be the approximate...

Show that the standing wave f(z, t) = A sin(kz) cos(kvt) satisfies the wave equation, and express it as the sum of a wave traveling to the left and a wave traveling to the right (Eq. 9.6).

In basketball, hang is an illusion in which a player seems to weaken the gravitational acceleration while in midair. The illusion depends much on a skilled player's ability to rapidly shift the ball...

Switch S has been closed for a long time, and the electric circuit shown in Figure P28.68 carries a constant current. Take C1 = 3.00 μF, C2 = 6.00 μF, R1 = 4.00 kΩ, and R2 = 7.00...