A fugitive tries to hop on a freight train traveling at a constant speed of 6.0m/s. Just as an empty box car passes him, the fugitive starts from rest and accelerates at a = 4.0m/s2 to his maximum...

In a certain cyclotron a proton moves in a circle of radius 0.500 m. The magnitude of the magnetic field is 1.20 T. (a) What is the oscillator frequency? (b) What is the kinetic energy of the proton,...

A Styrofoam slab has thickness h and density ps. When a swimmer of mass m is resting on it, the slab floats in fresh water with its top at the same level as the water surface. Find the area of the...

A spring with Mass We usually ignores the kinetic energy of the moving coils of a spring, but lets tries to get a reasonable approximation to this. Consider a spring of mass M, equilibrium length Lo,...

The three small spheres shown in Fig. carry charges q1 = 4.00 nC, q2 = -7.80 nC, and q3 = 2.40 nC. Find the net electric flux through each of the following closed surfaces shown in cross section in...

Two blocks, of weights 3.6 N and 7.2 N, are connected by a mass less string and slide down a 30 o inclined plane. The coefficient of kinetic friction between the lighter block and the plane is 0.10;...

Determine RTh and VTh at terminals 1-2 of each of the circuits of Fig. 4.101? (a) (b) 10 20 V 40 o 2 60 2 A 30

An object is undergoing SHM with period 1.200 s and amplitude 0.600 m. At t = 0 the object is at x = O. How far is the object from the equilibrium position when t = 0.480 s?

A wave on a string is described by y(x, t) =Acos(kx - wt). (a) Graph y, vy' and ay as functions of x for time t = 0. (b) Consider the following points on the string: (i) x = 0; (ii) x = /4k; (iii) x...

A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a mass of 150 kg, a radius of 2.0 m, and...

(a) Estimate the force with which a karate master strikes a board if the hands speed at time of impact is 10.0 m/s, decreasing to 1.00 m/s during a 0.002 00-s time-of-contact with the board. The mass...

A ball is dropped from a height of 1.50 and rebounds to a height of 1.20m. Approximately how many rebounds will be ball make before losing 90% of its energy?

The image of a tree just covers the length of a plane mirror 4.00 cm tall when the mirror is held 35.0 cm from the eye. The tree is 28.0 m from the mirror. What is its height?

Figure shows an electric dipole. What are the (a) Magnitude and (b) Direction (relative to the positive direction of the x axis) of the dipole's electric field at point P, located at distance r >>d?...

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 water pipe is connected to a double-U manometer as shown in Fig. P1-111E at a location where the local atmospheric pressure is 14.2 psia. Determine the absolute pressure at the center of the pipe....

A sound wave in air at 20C has a frequency of 150 Hz and displacement amplitude of 5.00 X 10-3 mm. For this sound wave calculate the (a) Pressure amplitude (in Pa); (b) Intensity fm W/m2); (c) Sound...

A 62-kg bungee jumper jumps from a bride, she is tied to a bungee cord whose unstretched length is 12 m, and falls a total of 31m. (a) Calculate the spring stiffness constant k of the bungee cord,...

Consider two particles of equal mass m. The forces on the particles are F1 = 0 and F2 = F0i. If the particles are initially at rest at the origin, what is the position, velocity, and acceleration of...

A spaceship of rest length 130 m races past a timing station at a speed of 0.740c. (a) What is the length of the spaceship as measured by the timing station? (b) What time interval will the station...

White light is sent downward onto a horizontal thin film that is sandwiched between two materials. The indexes of refraction are 1.80 for the top material, 1.70 for the thin film, and 1.50 for the...

A cubical block of wood, 10.0cmon aside floats at the interface between oil and water with its lower surface 1.50 cm below the interface (Fig. 14.35). The density of the oil is 790 kg/m3. (a) What is...

Before the advent of solid-state electronics, vacuum tubes were widely used in radios and other devices. A simple type of vacuum tube known as a diode consists essentially of two electrodes within a...

A 920-kg sports car collides into the rear end of a 2300-kg SUV stopped at a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 2.8m before stopping. The police...

(a) use Amperes law to show that the magnetic field between the conductors of a coaxial cable (Fig. 20-63) is B = μol/2πr if r is greater than the radius of the inner wire and less than the...

A crate, in the form of a cube with edge lengths of 1.2 m, contains a piece of machinery; the center of mass of the crate and its contents is located 0.30 m above the crate's geometrical center. The...

A wooden block with mass 1.50 kg is placed against a compressed spring at the bottom of an incline of slope 30.00 (point A). When the spring is released, it projects the block up the incline. At...

A 9.60-C point charge is at the center of a cube with sides of length 0.500 m. (a) What is the electric flux through one of the six faces of the cube? (b) How would your answer to part (a) change if...

A person jogs eight complete laps around a quarter mile track in a total time of 12.5 min. Calculate (a) The average speed and (b) The average velocity, in m/s.

(a) What is the rms current in an RL circuit when a 60.0-Hz 120-V rms ac voltage is applied, where R = 1.80 k, and L = 350 mH? (b) What is the phase angle between voltage and current? (c) What are...

By what potential difference must (a) A proton (m = 1.67 x 1027 kg) and (b) An electron (m = 9.11 x 10 31 kg), be accelerated to have a wavelength = 5.0 x 10 12m?

A cave rescue team lifts an injured spelunker directly upward and out of a sinkhole by means of a motor-driven cable. The lift is performed in three stages, each requiring a vertical distance of 10.0...

In a series of decays, the nuclide 235/92U becomes 207/82Pb. How many and particles are emitted in this series?

Rainbows from square drops suppose that, on some surreal world, raindrops had a square cross section and always fell with one face horizontal. Figure shows such a falling drop, with a white beam of...

International Space Station the International Space Station makes 15.65 revolutions per day in its orbit around the earth. Assuming a circular orbit, how high is this satellite above the surface of...

Two balls with masses M and m are connected by a rigid rod of length L and negligible mass as in Figure P10.22. For an axis perpendicular to the rod, show that the system has the minimum moment of...

A positively charged disk has a uniform charge per unit area as described in Example 23.9. Sketch the electric field lines in a plane perpendicular to the plane of the disk passing through its center.

A wire in the shape of semicircle with radius a is oriented in the yz-plane with its center of curvature at the origin (Fig. 28.67). If the current in the wire is I, calculate the magnetic-field...

Sketch a PV diagram of the following process::2.0L of ideal gas at atmospheric pressure are cooled at constant pressure to a volume of 1.0L, and then expanded isothermally back to 2.0L, whereupon the...

An Ionic Bond (a) Calculate the electric potential energy for a K+ ion and a Br ion separated by a distance of 0.29nm, the equilibrium separation in the KBr molecule. Treat the ions as point charges....

Energy is transmitted at rate P1 by a wave of frequency f1 on a string under tension 1. What is the new energy transmission rate P2 in terms of P1 (a) If the tension is increased to 2 = 41 and (b) If...

(a) For 1.0 mol of a monatomic ideal gas taken through the cycle in Figure, where V1 = 4.00V0, what is W/p0V0 as the gas goes from state a to state c along path abc what is Eint/p0V0 in going? (b)...

A thin film of acetone (n = 1.25) coats a thick glass plate (n = 1.50). White light is incident normal to the film. In the reflections, fully destructive interference occurs at 600 nm and fully...

A 50.0-g copper calorimeter contains 250 g of water at 20.0C. How much steam must be condensed into the water if the final temperature of the system is to reach 50.0C?

The electric field everywhere on the surface of a thin spherical shell of radius 0.750 m is measured to be 890 N/C and points radially toward the center of the sphere. (a) What is the net charge...

A material having an index of refraction of 1.30 is used as an antireflective coating on a piece of glass (n = 1.50). What should be the minimum thickness of this film in order to minimize reflection...

In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 X 10 cm in cross ... sectional area. On the bottom of the sphere he...

A carpenter builds an exterior house wall with a layer of wood 3.0 cm thick on the outside and a layer of Styrofoam insulation 2.2 cm thick on the inside wall surface. The wood has k = 0.080W/mK and...

(a) Calculate the total force of the atmosphere acting in the top of a table that measure 1.6m X 2.9m. (b) What is the total force acting upward on the underside of the table?

A 15-cm-long tendon was found to stretch 3.7 mm by a force of 13.4 N. The tendon was approximately round with an average diameter of 8.5 mm. Calculate the Youngs modulus of this tendon.

A thin layer of ice (n = 1.309) floats on the surface of water (n = 1.333) in a bucket. A ray of light from the bottom of the bucket travels upward through the water. (a) What is the largest angle...

Suppose the loop in Fig. 29.45 is(a) Rotated about the y-axis;(b) Rotated about the x-axis;(c) Rotated about an edge parallel to the z-axis. What is the maximum induced emf in each case if A = 600...

Why Are We Bombarded by Muons? Muons are unstable subatomic particles that decay to electrons with a mean lifetime of 22p.s. They are produced when cosmic rays bombard the upper atmosphere about 10km...

In Figure particles 1 and 2 are fixed in place on an x axis, at a separation of L = 8.00cm. Their charges are q1 = + e and q2 = ?? 27e.Particle 3 with charge q3 = + 4e is to be placed on the line...

Certain theories predict that the proton is unstable, with a half-life of about 1032 years. Assuming that this is true, calculate the number of proton decays you would expect to occur one year in the...

A car weighing 130 kN when fully loaded is pulled slowly up a steep inclined track by a steel cable (see figure). The cable has an effective cross-sectional area of 490 mm2, and the angle...

A point charge q1 = -4.00 nC is at the point x = 0.600 m, y = 0.800 m, and a second point charge q2 = +6.00 nC is at the point x = 0.600 m, y = 0. Calculate the magnitude and direction of the net...

A golf ball rolls off the top of a flight of concrete steps of total vertical height 4.00m. The ball hits four times on the way down, each time striking the horizontal part of a different step 1.0m...

In Ex. 3.2 we assumed that the conducting sphere was grounded (V = 0). But with the addition of a second image charge, the same basic model will handle the case of a sphere at any potential V 0...

Curtain of death, a large metallic asteroid strikes Earth and quickly digs a crater into the rocky material below ground level by launching rocks upward and outward. The following table gives five...

Figure 9-35 shows a three-particle system, with masses m1 = 3.0 kg, m2 = 4.0 kg, and m3 = 8.0 kg. The scales on the axes are set by xs = 2.0 m and ys = 2.0 m. What are (a) The x coordinate and (b)...

An interstellar space probe is launched from the Earth. After a brief period of acceleration it moves with a constant velocity, with a magnitude of 70.0% of the speed of light. Its nuclear-powered...

Use information from Table 16.2 to answer the following questions about sound in air. At 20oC the bulk modulus for air is 1.42 X 105 Pa and its density is 1.20 kg/m3. At this temperature, what are...

The graph in Figure 38.34 shows the stopping potential as a function of the frequency of the incident light falling on a metal surface,(a) Find the photoelectric work function for this metal.(b) What...

A soprano and a bass are singing a duet. While the soprano sings an A# at 932 Hz, the bass sings an A# but three octaves lower. In this concert hall, the density of air is 1.20 kg/m3 and its bulk...

A moderate wind accelerates a pebble over a horizontal xy plane with a constant acceleration a = (5.00 m/s 2 )i + (7.00m/s 2 )j. At time t = 0, the velocity is (4.00m/s)i. What are the (a) Magnitude...

A particle P travels with constant speed on a circle of radius r = 3.00m (Figure) and completes one revolution in 20.0 s. The particle passes through O at time t = 0. State the following vectors in...

A diving bell in the shape of a cylinder with a height of 2.50 m is closed at the upper end and opens at the lower end. The bell is lowered from air into sea water (p =| 1.025 g/cm3). The air in the...

A spherical conductor has a radius of 14.0 cm and charge of 26.0 C. Calculate the electric field and the electric potential (a) r = 10.0 cm, (b) r = 20.0 cm, and (c) r = 14.0 cm from the center.

Entopic halos if someone looks at a bright outdoor lamp in otherwise dark surroundings, the lamp appears to be surrounded by bright and dark rings (hence halos) that are actually a circular...

A Geiger counter detects radiation such as alpha particles by using the fact that the radiation ionizes the air along its path. A thin wire lies on the axis of a hollow metal cylinder and is...

The initial position, velocity, and acceleration of an object moving in simple harmonic motion are xi, vi, and ai; the angular frequency of oscillation is w. (a) Show that the position and velocity...

The log has a mass of 500 kg and rests on the ground for which the coefficients of static and kinetic friction are s = 0.5 and k = 0.4 respectively. The winch delivers a horizontal towing force T to...

A bathysphere used for deep-sea exploration has a radius of 1.50 m and a mass of 1.20 X 104 kg. To dive, this submarine takes on mass in the form of seawater. Determine the amount of mass the...

The hull of an experimental boat is to be lifted above the water by a hydrofoil mounted below its keel, as shown in Figure P14.75. The hydrofoil has a shape like that of an airplane wing. Its area...

A pendulum with a length of 1.00 m is released from an initial angle of 15.0. After 1 000 s, its amplitude has been reduced by friction to 5.50. What is the value of b/2m?

An alien civilization occupies a brown dwarf, nearly stationary relative to the Sun, several light years away. The extraterrestrials have come to love original broadcasts of I Love Lucy, on our...

A beam of light enters the end of an optic fiber as shown in Fig. 23-52. Show that we can guarantee total internal reflection at the side surface of the material (at point a), if the index of...

A skier is pulled by a towrope up a frictionless ski slope that makes an angle of 12o with the horizontal. The rope moves parallel to the slope with a constant speed of 1.0 m/s. The force of the rope...

A ball is dropped from rest from a height h above the ground. Another ball is thrown vertically upwards from the ground at the instant the first ball is released. Determine the speed of the second...

A square plate of copper with 50.0-cm sides has no net charge and is placed in a region of uniform electric field of 80.0 kN/C directed perpendicularly to the plate. Find (a) The charge density of...

For each of the following arrangements of two point charges, find all the points along the line passing through both charges for which the electric potential V is zero (take V = 0 infinitely far from...

A .2.36-.F capacitor that is initially uncharged is connected in series with a 4.26- resistor and an emf source with E = 120 V and negligible internal resistance. (a) Just after the connection is...

A sphere of mass 3.0 x 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 37o with the vertical. Find (a) The push magnitude and...

A 1.0 kg copper rod rests on two horizontal rails 1.0 m apart and carries a current of 50 A from one rail to the other. The coefficient of static friction between rod and rails is 0.60. What are the...

An Earth satellite moves in a circular orbit 640 km above Earth's surface with a period of 98.0 min. What are the (a) Speed and (b) Magnitude of the centripetal acceleration of the satellite?

A child of mass m swings in a swing supported by two chains, each of length R. If the tension in each chain at the lowest point is T, find (a) The childs speed at the lowest point and (b) The force...

Adjacent antinodes of a standing wave on a string are I5.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.850 cm and period 0.0750 s. The string lies along...

In about 7915, Henry Sincosky of Philadelphia suspended himself from a rafter by gripping the rafter with the thumb of each hand on one side and the fingers on the opposite side (Figure). Sincosky's...

The bottle rests at a distance of 3 ft from the center of the horizontal platform. If the coefficient of static friction between the bottle and the platform is s = 0.3m determine the maximum speed...

The long, straight wire shown in Fig. 29.51a carries constant current 1. A metal bar with length L is moving at constant velocity V, as shown in the figure. Point a is a distance d from the wire.(a)...

Cubic ZnS structure using and p from Table 7 and the Madelung constants given in the text, calculate the cohesive energy of KCI in the cubic ZnS structure described in Chapter 1. Compare with the...

Mercury is poured into a U-tube as in Figure P14.18a. The left arm of the tube has cross-sectional area A1 of 10.0 cm2, and the right arm has a cross-sectional area A2 of 5.00 cm2. One hundred grams...

The following charges are located inside a submarine: 5.00 C, - 9.00 C, 27.0 C, and -84.0 C. (a) Calculate the net electric flux through the hull of the submarine. (b) Is the number of electric field...

In a ballistic pendulum experiment, projectile 1 results in maximum height h of the pendulum equal to 2.6cm. A second projectile causes the pendulum to swing twice as high h2 = 5.2cm. The second...

Check the divergence theorem for the function v = r2 sin r + 4r2 cos = r2 tan . using the volume of the "ice-cream cone" shown in Fig. 1.52 (the top surface is spherical, with radius R and centered...

The rear hatch of a van [BDCF in figure part (a)] is supported by two hinges at B1 and B2 and by two struts A1B1 and A2B2 (diameter ds = 10 mm) as shown in figure part (b). The struts are supported...

Five infinite-impedance voltmeters, calibrated to read rms values, are connected as shown in Fig 31.25. Let R = 200 ?, L = 0.400 H, C = 6.00?F, and V = 30.0 V. What is the reading of each voltmeter...

Singularity in density of states (a) From the dispersion relation derived for a monatomic linear lattice of N atoms with nearest-neighbor interactions, show the density of modes is D(w) = 2N/ 1 /(w 2...

A solid circular bar ABCD with fixed supports is acted upon by torques T0 and 2T0 at the locations shown in the figure. Obtain a formula for the maximum angle of twist (max of the bar. (Use Eqs. 3-46...