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...

(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...

A 1500 kg car starts from rest on a horizontal road and gains a speed of 72 km/h in 30 s. (a) What is its kinetic energy at the end of the 30 s? (b) What is the average power required of the car...

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 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...

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) If a photon and an electron each have the same energy of 20.0eV, find the wavelength of each. (b) If a photon and an electron each have the same wavelength of 250 run, find the energy' of each....

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...

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...

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?

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 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) 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...

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...

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...

A wagon wheel is constructed as shown in Fig. 9.30. The radius of the wheel is 0.300 m, and the rim has mass 1.40 kg. Each of the eight spokes that lie along a diameter and are 0.300 m long has mass...

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...

The press shown is used to emboss a small seal at E. Knowing that the coefficient of static friction between the vertical guide and the embossing die D is 0.30, determine the force exerted by the die...

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 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....

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...

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 =...

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...

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...

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 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...

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 museum of modem art is displaying an irregular 358-N sculpture by hanging it from two thin vertical wires, A and B, that are 1.25 m apart (Fig. 11.40). The center of gravity of this piece of art 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...

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...

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...

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...

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...

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

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...

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...

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,...

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 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...

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...

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)...

The rigid L-shaped member ABC is supported by a ball-and-socket joint at A and by three cables. If a 1.8-kN load is applied at F, determine the tension in each cable. 420 mm 420 mm 240 mm 210 mm 320...

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...

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 ).

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...

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...

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...

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)...

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...

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.

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...

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 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....

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...

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)...

(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...

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

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.

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...

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...

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...

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?

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...

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?

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 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...

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...

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...

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 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) 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...

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...

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...

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...

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...

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).

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) Show that the lens equation can be written in the Newtonian form xx` = f2, where x is the distance of the object from the focal point on the front side of the lens, and x` is the distance of the...

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...

Calculate the wavelength of a 0.23-kg ball traveling at 0.10m/s.

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 =...

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 brass lid screws tightly onto a glass jar at 20oC. To help open the jar, it can be placed into a bath of hot water. After this treatment, the temperatures of the lid and the jar are both 60oC. The...

Stars located in a certain cluster are assumed to be about the same distance from us. Two such stars have spectra that peak at 1 = 500 nm and 2 = 700nm, and the ratio of their apparent brightness is...

Figure shows a spherical shell with uniform volume charge density p = 1.84nC/m3, inner radius a = 10.0 cm, and outer radius b = 2.00a.What is the magnitude of the electric field at radial distances...

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...

A U-tube contains liquid of unknown specific gravity. An oil of density 800 kg/m3 is poured into one arm of the tube until the oil column is 12 cm high. The oilair interface is then 5.0 cm above the...