A 7.50-nF capacitor is charged op to 12.0 V, then disconnected from the power supply and connected in series through a coil. The period of oscillation of the circuit is then measured to be 8.60 X...

A typical light dimmer used to dim the stage lights in a theater consists of a variable inductor L (whose inductance is adjustable between zero and L max) connected in series with a lightbulb B, as...

A three-way lightbulb can produce 50 W, 100 W, or 150 W, at 120 V. Such a bulb contains two filaments what can be connected to the 120V individually or in parallel. (a) Describe how the connections...

A beam of electrons is accelerated from rest through a potential difference of 0.100 kV and then passes through a thin slit the diffracted beam shows its first diffraction minima at 11.5 from the...

Molecules Condensed Matter How many protons and how many neutrons are there in a nucleus of the most common isotope of (a) Silicon 2814Si; (b) Rubidium 8537Rb; (c) Thallium 20581?

A glass window pane is exactly 20 cm by 30 cm at 10oC. By how much has its area increased when its temperature is 40oC, assuming that it can expand freely?

An electron is trapped in a one-dimensional infinite well of width 250 pm and is in its ground state. What are the (a) Longest, (b) Second longest, and (c) Third longest wavelengths of light that can...

A Nuclear Reaction Fission, the process that supplies energy in nuclear power plants, occurs when a heavy nucleus is split into two medium-sized nuclei. One such reaction occurs when a neutron...

The magnetic field perpendicular to a circular wire loop 12.0 cm in diameter is changed from +0.52 T to -0.45 T in 180 ms, where +means the field points away from an observer and toward the observer....

A bungee jumper with mass 65.0 kg jumps from a high bridge. After reaching his lowest point, he oscillates up and down, hitting a low point eight more times in 38.0s. he finally comes to rest 25.0m...

A 1200 kg airplane is flying in a straight line at 80 m/s, 1.3 km above the ground. What is the magnitude of its angular momentum with respect to a point on the ground directly under the path of the...

An elementary particle produced in a laboratory experiment travels 0.230 mm through the lab at a relative speed of 0.960c before it decays (becomes another particle). (a) What is the proper lifetime...

A vertical parallel-plate capacitor is half filled with a dielectric for which the dielectric constant is 2.00 (Fig. P26.70a). When this capacitor is positioned horizontally, what fraction of it...

A transparent cylinder of radius R = 2.00 m has a mirrored surface on its right half, as shown in Figure P35.67. A light ray traveling in air is incident on the left side of the cylinder. The...

A common demonstration involves charging a rubber balloon, which is an insulator, by rubbing it on your hair, and touching the balloon to a ceiling or wall, which is also an insulator. The electrical...

Water being diverted during a flood in Helsinki, Finland (latitude 60oN) flows along a diversion channel of width 47 m in the south direction at a speed of 3.4m/s. On which side is the water the...

A completely inelastic collision occurs between two balls of wet putty that move directly toward each other along a vertical axis. Just before the collision, one ball, of mass 3.0 kg, is moving...

A sample of gas is taken through cycle abca shown in the p-V diagram of Figure. The net work done is + 1.2J. Along path ab, the change in the internal energy is + 3.0 J and the magnitude of the work...

Figure shows a 300 kg cylinder that is horizontal. Three steel wires support the cylinder from a ceiling. Wires 1 and 3 are attached at the ends of the cylinder, and wire 2 is attached at the center....

A tire having a volume of 2.5 ft 3 contains air at a gage pressure of 30 psi and a temperature of 70F. Determine the density of the weight of the air contained in the tire.

Knowing that the pulley has a radius of 0.5 m, draw the free-body diagram(s) needed to determine the components of the reactions at A and E. 700 N

A 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. (a) What is the final pressure of the gas?...

The center of gravity of an irregular object is shown in Fig. H.20. You need to move the center of gravity 2.20 cm to the left by gluing on a tiny l.50-kg mass, which will then be considered as part...

Two particles moving under the influence of their mutual gravitational force describe circular orbits about one another with a period . If they are suddenly stopped in their orbits and allowed to...

Determining the Masses of Stars many of the stars in the sky are actually binary stars, in which two stars orbit about their common center of mass. If the orbital speeds of the stars are high enough,...

(a) Is the decay n p + - + vc energetically possible? If not, explain why not. If so, calculate the total energy released. (b) Is the decay p n + + + vc energetically possible? If not, explain why...

Given the circuit in Fig. 2.78, use KVL to find the branch voltages V1 to V4. 5 V

Mars Landing In January 2004, NASA landed exploration vehicles on Mars. Part of the descent consisted of the following stages: Stage A: Friction with the atmosphere reduced the speed from 19,300 km/h...

Two mirrors meet at a 135o angle, Fig. 23-47. If light rays strike one mirror at 40o as shown, at what angle Ф do they leave the second mirror? 407

Use the method of Lagrange undetermined multipliers to find the tensions in both strings of the double Atwood machine of Example 7.8.

A certain dc motor has the following parameter values: L = 2 10-3 HR = 0.6 KT = 0.04 N m/Ac = 0 I = 6 10-5 kg m2 Figure P11.61 Figure P11.61 shows an integral controller using state-variable...

An automobile tire is inflated with air originally at 10.0C and normal atmospheric pressure. During the process, the air is compressed to 28.0% of its original volume and the temperature is increased...

Example 23.9 derives the exact expression for the electric field at a point on the axis of a uniformly charged disk. Consider a disk, of radius R = 3.00 cm, having a uniformly distributed charge of +...

Three capacitors having capacitances of 8.4, 8.4, and 4.2F are connected in series across a 36-V potential difference. (a) What is the charge on the 4.2-F capacitor? (b) What is the total energy...

The circuit shown in Fig. contains two batteries, each with an emf and an internal resistance, and two resistors. Find (a) The current in the circuit (magnitude and direction); (b) The terminal...

If a slit diffracts 650.nm light so that the diffraction maximum is 4.0cm wide on a screen 1.50m away, what will be the width of the diffraction maximum for light of wavelength 420nm?

In Figure two identical containers of sugar are connected by a cord that passes over a frictionless pulley. The cord and pulley have negligible mass, each container and its sugar together have a mass...

Figure shows two sections of an old pipe system that runs through a hill, with distances dA = dB = 30 m and D = 110 m. On each side of the hill, the pipe radius is 2.00 cm. However, the radius of the...

An automobile accident investigator needs to determine the initial westerly velocity of a Jeep (m = 1720kg) that may have been speeding before colliding head-on with a Volkswagen (m = 1510 kg) that...

The device shown in the figure consists of a pointer ABC supported by a spring of stiffness k = 800 N/m. The spring is positioned at distance b = 150 mm from the pinned end A of the pointer. The...

Assume that in Atlanta, Georgia, the Earths magnetic field is 52.0 +T northward at 60.0 below the horizontal. A tube in a neon sign carries current 35.0 mA, between two diagonally opposite corners of...

A bowling ball weighing 71.2 N (16.0 Ib) is attached to the ceiling by a 3.80-m rope. The ball is pulled to one side and released; it then swings back and forth as a pendulum. As the rope swings...

Capacitors in networks cannot always be grouped into simple series or parallel combinations. As an example, Fig .a shows three capacitors Cx, Cy, and Cz in a delta network, so called because of its...

A grating has 600rulings/mm and is 5.0 mm wide. (a) What is the smallest wavelength interval it can resolve in the third order at = 500 nm? (b) How many higher orders of maxima can be seen?

A cannon is mounted on a railroad car. The cannon shoots a 1.75-kg ball with a muzzle velocity of 300 m/s. The cannon and the railroad car together have a mass of 4500 kg. If the ball, cannon, and...

An object (mass 10.0 kg) slides upward on a slippery vertical wall. A force F of 60 N acts at an angle of as shown in Fig. 4.36. (a) Determine the normal force exerted on the object by the wall. (b)...

An inductor in the form of a solenoid contains 420 turns, is 16.0 cm in length, and has a cross-sectional area of 3.00 cm2. What uniform rate of decrease of current through the inductor induces an...

(a) Show that for a wave on a string, the kinetic energy per unit length of string is Where /L is the mass per unit length. (b) Calculate Uk(X, t) for a sinusoidal wave given by Eq. (15.7). (c) There...

A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. 3.0J of work is required to compress the spring by 0.12 m. If the mass is...

(a) Find the height at which a billiard ball should be struck so that it will roll with no initial slipping. (b) Calculate the optimum height of the rail of a billiard table. On what basis is the...

What is the minimum photon energy needed to produce a pair? The mass of each (muon) is 207 times the mass of the electron. What is the wavelength of such a photon?

(a) In Problem 4, what is the speed of the car at (a) point A, (b) Point B, and (c) Point C? (d) How high will the car go on the last hill, which is too high for it to cross? (e) If we substitute a...

A locomotive with a power capability of 1.5 MW can accelerate a train from a speed of 10 m/s to 25 m/s in 6.0 min. (a) Calculate the mass of the train. Find (b) The speed of the train and (c) The...

What are the magnitudes of? (a) The angular velocity, (b) The radial acceleration, and (c) The tangential acceleration of a spaceship taking a circular turn of radius 3220 km at a speed of 29 000...

In Figure a uniform upward electric field E of magnitude 2.00 x 103 N/C has been set up between two horizontal plates by charging the lower plate positively and the upper plate negatively. The plates...

An infinite nonconducting sheet has a surface charge density = 0.10 C/m2 on one side. How far apart are equipotential surfaces whose potentials differ by 50 V?

In a period of 1.00 s, 5.00 X 1023 nitrogen molecules strike a wall with an area of 8.00 cm2. If the molecules move with a speed of 300 m/s and strike the wall head-on in elastic collisions, what is...

Suppose a meteor of mass 3.00 X 1013 kg, moving at 30.0 km/s relative to the center of the Earth, strikes the Earth. What is the order of magnitude of the maximum possible decrease in the angular...

(a) In Example 5.19 (Section 5.3), what value of D is required to make Vt = 42 m/s for the skydiver? (b) If the skydiver's daughter, whose mass is 45 kg, is falling through the air and has the same D...

You observe a 1350-kg sports car rolling along flat pavement in a straight line. The only horizontal forces acting on it are a constant rolling friction and air resistance (proportional to the square...

A Plane passes through the three points (x, y, z) = (1, 0, 0), (0, 2, 0), (0, 0, 3). (a) Find a unit vector perpendicular to the plane. (b) Find the distance from the point (1, 1, 1) to the closest...

A thin disk of mass M and radius R lies in the (x, y) plane with the z-axis passing through the center of the disk. Calculate the gravitational potential Ф (z) and the gravitational field g(z)...

An Earth satellite moves in an elliptical orbit with a period , eccentricity , and semi major axis a. Show that the maximum radial velocity of the satellite is 2a/1 2).

Tsunami! On December 26, 2004, a violent magnitude-9.1 earthquake occurred off the coast of Sumatra. This quake triggered a huge tsunami (similar to a tidal wave) that killed more than 150,000...

Two point charges, 3q and -q, are separated by a distance a. For each of the arrangements in Fig. 3.35, find (i) the monopole moment, (ii) the dipole moment, and (iii) the approximate potential (in...

A two-slit Fraunhofer interferencediffraction pattern is observed with light of wavelength 700 nm. The slits have widths of 0.01 mm and are separated by 0.2 mm. How many bright fringes will be seen...

A person is traveling 75.0 km/h in an automobile and throws a bottle of mass 0.500 kg out the window. (a) With what momentum does the bottle hit a roadway sign? (b) With what momentum does the bottle...

A truck with mass 950 slugs is driven 55.0 mi/h. (a) What is its velocity in ft/s? (b) What is its kinetic energy?

A heat pump is used to maintain a house at a constant temperature of 23°C. The house is losing heat to the outside air through the walls and the windows at a rate of 85,000 kJ/h while the energy...

A videotape cassette contains two spools, each of radius rs, on which the tape is wound. As the tape unwinds from the first spool, it winds around the second spool. The tape moves at constant linear...

European Light Bulb in Europe the standard voltage in homes is 220 V instead of the 120 V used in the United States. Therefore a 100-W European bulb would be intended for use with a 220-V potential...

A 10.0-g marble is gently placed on a horizontal tabletop that is 1.75 m wide. (a) What is the maximum uncertainty in the horizontal position of the marble? (b) According to the Heisenberg...

Show that the interaction energy of two dipoles separated by a displacement r is [pI P2 - 3(P1 f)(p2 f)]. (4.7) 4T 0 r3

An object is tracked by a radar station and found to have a position vector given by r = (3500 160t)i + 2700j + 300k, with r in meters and t in seconds, the radar station's x axis points east, its y...

In the double-slit experiment of Figure the electric fields of the waves arriving at point P are given by E1 = (2.00V/m) sin [(l .26 x 1015)t] E2 = (2.00V/m) sin [(l .26 x 1015)t + 39.6 rad], where...

A sphere consists of a solid wooden ball of uniform density 800 kg/m' and radius 0.20 m and is covered with a thin coating of lead foil with area density 20 kg/m2. Calculate the moment of inertia of...

Electric Field in the Nucleus Protons in the nucleus are of the order of 10-15 m (1 fin) apart. (a) What is the magnitude of the electric field produced by a proton at a distance of 1.50 fm from it?...

An unmagnetized nail will not attract an unmagnetized paper clip. However, if one end of the nail is contact with a magnet, the other end will attract a paper clip. Explain.

Charge is distributed uniformly throughout the volume of an infinitely long solid cylinder of radius R. (a) Show that, at a distance r < R from the cylinder axis, E = pr/20, where p is the volume...

Assume that Rayleigh's criterion gives the limit of resolution of an astronaut's eye looking down on Earth's surface from a typical space shuttle altitude of 400 km. (a) Under that that idealized...

Suppose that the light bulb in Figure (b) is a 60.0-W bulb with a resistance of 240 Ω. The magnetic field has a magnitude of 0.40 T, and the length of the rod is 0.60 m. The only...

Doubly ionized lithium Li2+ (Z = 3) and triply ionized beryllium Be3+ (Z = 4) each emit a line spectrum. For a certain series of lines in the lithium spectrum, the shortest wavelength is 40.5 nm. For...

A loudspeaker is placed between two observers who are 110 m apart, along the line connecting them. If one observer records a sound level of 60.0 dB and the other records a sound level of 80.0 dB, how...

One suing of a certain musical instrument is 75.0 cm long and has a mass of 8.75 g. It is being played in a room where the speed of sound is 344 m/s. (a) To what tension must you adjust the string so...

The conditions of standard temperature and pressure (STP) are a temperature of 0.00C and a pressure of 1.00 atm. (a) How many liters does 1.00 mol of any ideal gas occupy at STP? (b) For a scientist...

If global warming occurs over the next century, it is likely that some polar ice will melt and the water will be distributed closer to the Equator. How would this change the moment of inertia of the...

Transverse waves travel with a speed of 20.0 m/s in a string under a tension of 6.00 N. What tension is required for a wave speed of 30.0 m/s in the same string?

If cholesterol build-up reduces the diameter of an artery by 15%, what will be the effect on blood flow?

By extremely careful measurement, you determine the x-coordinate of a car's center of mass with an uncertainty of only 1.00m. The car has a mass of 1200 kg. (a) What is the minimum uncertainty in the...

A civil engineer is asked to design a curved section of roadway that meets the following conditions: With ice on the road, when the coefficient of static friction between the road and rubber is 0.08,...

The area of a typical eardrum is about 5.00 X 105 m2. Calculate the sound power incident on an eardrum at (a) the threshold of hearing and (b) The threshold of pain.

A steel cable with cross-sectional area 3.00 cm has an elastic limit of 2.40 X 108 Pa. Find the maximum upward acceleration that can be given a 1200-kg elevator supported by the cable if the stress...

Reading glasses use converging lenses. A simple magnifier is also a converging lens. Are reading glasses therefore magnifiers? Discuss the similarities and differences between converging lenses and...

A 12.5- resistor is made from a coil of copper wire whose total mass is 18.0g. What is the diameter of the wire, and how long is it?

A standing wave pattern on a string is described by y(x, t) = 0.040 (sin 5x) (cos 40t), where x and y are in meters and r is in seconds. For x > 0, what is the location of the node with the (a)...

Suppose 0.825 mol of an ideal gas undergoes an isothermal expansion as energy is added to it as heat Q. It Figure 19-20 shows the final volume V1versus Q, what is the gas temperature? The scale of...

A charge of 6.0C is to be split into two parts that are then separated by 3.0 mm. What is the maximum possible magnitude of the electrostatic force between those two parts?

1. A force of 175 N is needed to keep a 640-N stationary engine on wooden skids from sliding on a wooden floor. What is the coefficient of static friction? 2. A crated garden tractor weighs 375 N....

A particle is moving at a speed less than c/2. If the speed of the particle is doubled, what happens to its momentum?

Two sinusoidal waves, identical except for phase, travel in the same direction along a string, producing a net wave y'(x, t) = (3.0 mm) sin (20x 4.0t + 0.820 rad), with x in meters and t in seconds....