(a) Determine the amount of work (in joules) that must be done on a 100-kg payload to elevate it to a height of 1 000 km above the Earths surface. (b) Determine the amount of additional work that is...

A proton moving in the plane of the page has a kinetic energy of 6.00 MeV. A magnetic field of magnitude B = 1.00 T is directed into the page. The proton enters the magnetic field with its velocity...

A small pond has a layer of ice 1 cm thick floating on its surface. (a) If the air temperature is 10oC, find the rate in centimeters per hour at which ice is added to the bottom of the layer. The...

A bar AB of length L is held between rigid supports and heated nonuniformly in such a manner that the temperature increase ÎT at distance x from end A is given by the expression ÎT =...

A dockworker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 11.0 m in 5.00 s....

The intake in Figure has cross-sectional area of 0.74 m2 and water flow at 0.40 m/s. At the outlet, distance D = 180 m below the intake, the cross-sectional area is smaller than at the intake and the...

Force and Torque on a Dam. A dam has the shape of a rectangular solid. The side facing the lake has area A and height H. The surface of the freshwater lake behind the dam is at the top of the dam....

The roller-coaster car shown in Fig. 6-41 is dragged up to point 1 where it is released from rest. Assuming no friction, calculate the speed at points 2, 3, and 4. 28 m 15 m 35 m

The Red Giant Betelgeuse The red giant Betelgeuse has a surface temperature of 3000 K and is 600 times the diameter of our sun. (If our sun were that large, we would be inside it!) Assume that it...

Three mountain climbers who are roped together are ascending an ice field inclined at 21.0o to the horizontal. The lat climber slips, pulling the second climber off his feet. The first climber is...

A helium-filled balloon escapes a childs hand at sea level and 20.0oC. When it reaches an altitude of 3000m, where the temperature is 5.0oC and the pressure is only 0.70atm, how will its volume...

Consider the electric field at points A, B, and C in Fig. 16-48. First draw an arrow at each point indicating the direction of the net force that a positive test charge would experience if placed at...

Light of wavelength 585 urn falls on a slit 0.0666mm wide (a) On a very large distant screen, how many totally dark fringes (indicating complete cancellation) will there be, including both sides of...

Pure germanium has a band gap of 0.67eV. The Fermi energy is in the middle of the gap. (a) For temperatures of 250 K, 300 K, and 350 K, calculate the probability f(E) that a state at the bottom of...

Transverse wave velocity show that the velocity of transverse waves in the [111] direction of a cubic crystal is given by v s = [1/3(C 11 C 12 + C 44 /p] 1/2 .

A car traveling 56.0 km/h rs 24.0 m from a barrier when the driver slams on the brakes, the car hits the barrier 2.00 s later. (a) What is the magnitude of the car's constant acceleration before...

A bridge truss extends 200 m across a river (Fig. P12.68). The structure is free to slide horizontally to permit thermal expansion. The structural components are connected by pin joints, and the...

A standing-wave pattern is observed in a thin wire with a length of 3.00 m. The equation of the wave is where x is in meters and t is in seconds. y = (0.002 m) sin (x) cos (100t) (a) How many loops...

Self-Energy of a Sphere of Charge A solid sphere of radius R contains a total charge Q distributed uniformly throughout its volume. Find the energy needed to assemble this charge by bringing...

A 0.65-mm-diameter copper wire carries a tiny current of 2.3 A. What is the electron drift speed in the wire?

1. An object 30.0 cm tall is located 10.5 cm from a concave mirror with focal length 16.0 cm. (a) Where is the image located? (b) How high is it? 2. An object and its image in a concave mirror are...

A cylinder with moment of inertia I1 rotates about a vertical, frictionless axle with angular speed i. A second cylinder, this one having moment of inertia I2 and initially not rotating, drops onto...

A cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected to a post by a large spring, initially unstretched and with force constant k = 2.00 X 104 N/m, as in...

Exploring Venus the surface pressure on Venus is 92 am, and the acceleration due to gravity there is 0.894g. In a future exploratory mission, an upright cylindrical tank of benzene is sealed at the...

A worker pushes horizontally on a 35 kg crate with a force of magnitude 110 N. The coefficient of static friction between the crate and the floor is 0.37. (a) What is the value of fs,max under the...

In Figure a, a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.20 kg) and embeds itself in block 2 (mass 1.80 kg). The...

Traffic shock wave, an abrupt slowdown in concentrated traffic can travel as a pulse, termed a shock wave, along the line of cars, either downstream (in the traffic direction) or upstream, or it can...

George of the Jungle, with mass m, swings on a light vine hanging from a stationary tree branch. A second vine of equal length hangs from the same point, and a gorilla of larger mass M swings in the...

At t = 0 the current to a de electric motor is reversed, resulting in an angular displacement of the motor shaft given by Ii(t) = (250rad/s)t - (20.0rad/s2)t2 - (1.50rad/s)t. (a) At what time is the...

A 0.150-kg block of ice is placed against a horizontal, compressed spring mounted on a horizontal tabletop that is 1.20 m above the floor. The spring has force constant 1900 N/m and is initially...

A laminated plastic beam of square cross section is built up by gluing together three strips, each 10 mm x 30 mm in cross section (see figure). The beam has a total weight of 3.6 N and is simply...

A solid sphere (radius = R) rolls without slipping in a cylindrical trough (radius = 5R) as shown in Figure P15.56. Show that, for small displacements from equilibrium perpendicular to the length of...

A Carnot refrigerator (the reverse of a Carnot engine) absorbs heat from the freezer compartment at a temperature of 17oC and exhausts it into the room at 25oC. (a) How much work must be done by the...

Relativistic reversal of events figures a and b show the (usual) situation in which a primed reference frame passes an unprimed reference frame, in the common positive direction of the x and x' axes,...

A 1.50-rn-long rope is stretched between two supports with a tension that makes the speed of transverse waves 48.0 m/s. What are the wavelength and frequency of? (a) The fundamental; (b) The second...

A certain pipe produces a fundamental frequency of 262 Hz in air. (a) If the pipe is filled with helium at the same temperature, what fundamental frequency does it produce? (The molar mass of air is...

If 61.5 L of oxygen at 18.0oC and an absolute pressure of 2.45 atm are compressed to 48.8L and at the same time the temperature is raised to 50.0oC, what will new pressure be?

Derive P3 (x) from the Rodrigues formula, and check that P3 (cos ) satisfies the angular equation (3.60) for l = 3. Check that P3 and P1 are orthogonal by explicit integration.

Consider two conducting spheres with radii R1 and R2. They are separated by a distance much greater than either radius. A total charge Q is shared between the spheres, subject to the condition that...

A wooden ring whose mean diameter is 14.0 cm is wound with a closely spaced toroidal winding of 600 turns. Compute the magnitude of the magnetic field at the center of the cross section of the...

In Figure a solid sphere of radius a = 2.00 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = + 5.00fC;...

1. Find the amount of heat in cal generated by 95 J of work. 2. Find the amount of heat in kcal generated by 7510 J of work. 3. Find the amount of work that is equivalent to 1550 Btu. 4. Find the...

A particle with mass m is acted on by a conservative force and moves along a path given by x = xo cos w0t and y = yosinwot, where x, yo, and wo are constants. (a) Find the components of the force...

When a 360-nF air capacitor (1 nF = 10-9 F) is connected to a power supply, the energy stored in the capacitor is 1.85 X 10-5 J. While the capacitor is kept connected to the power supply, a slab of...

Measurements indicate that there is an electric field surrounding the Earth. Its magnitude is about 150N/C at the Earths surface and points inward toward the Earths center. What is the magnitude of...

The Z0 boson, discovered in 1985, is the mediator of the weal nuclear force, and it typically decays very quickly. Its average rest energy is 91.19GeV, but its short lifetime shows up as an intrinsic...

As seen in Figure, a square loop of wire has sides of length 2.0 cm. A magnetic field is directed out of the page; its magnitude is given by B = 4.0t2y, where B is in teslas, t is in seconds, and y...

The tallest building in the world, according to some architectural standards, is the Taipei l01 in Taiwan, at a height of 1671 feet. Assume that this height was measured on a cool spring day when the...

A point charge q1 = 4.00 nC is located on the x-axis at x = 2.00 m, and a second point charge q2 = -6.00 nC is on the y-axis at y = 1.00 m. What is the total electric flux due to these two point...

The isotope 218/84Po can decay by either or emission. What is the energy release in each case? The mass of 218/84Po is 218.008965u.

A machine carries a 4.0 kg package from an initial position of d1= (0.50m)i + (0.75m)j + (0.20 m)k at t = 0 to a final position of df = (7.50 m)i + (12.0 m)j + (7 .20 m)k at t = 12s. The constant...

A coin placed 30.0 cm from the center of a rotating horizontal turntable slips when its speed is 50.0 cm/s. (a) What force causes the centripetal acceleration when the coin is stationary relative to...

You drop a ball from a height of 2.0m, and it bounces back to a height of 1.5m. (a) What fraction of its initial energy is lost during the bounce? (b) What is the balls speed just as it leaves the...

A homogeneous cube, each edge of which has a length l, is initially in a position of unstable equilibrium with one edge is contact with a horizontal plane. The cube is then given a small displacement...

The high-speed winds around a tornado can drive projectiles into trees, building walls, and even metal traffic signs. In a laboratory simulation, a standard wood toothpick was shot by pneumatic gun...

A police siren of frequency fsiren is attached to a vibrating platform. The platform and siren oscillate up and down in simple harmonic motion with amplitude Ap and frequency fp. (a) Find the maximum...

Given two systems of N1 N2 = 1022 spins with multiplicity functions g1(N1, S1) an g2(N2, s s1) and g2(N2, s s1), the product g1g2 as a function of s1 is relatively sharply peaked at s1 = 1. For s1...

A thin rod of mass 0.630 kg and length 1.24 m is at rest, hanging vertically from a strong fixed hinge at its top end. Suddenly a horizontal impulsive force (14.7i) N is applied to it. (a) Suppose...

An egg is thrown nearly vertically upward from a point near the cornice of a tall building. It just misses the cornice on the way down and passes a point 50.0 m below its starting point 5.00 s after...

A cylinder with radius R and mass M has density that increases linearly with distance r from the cylinder axis, p = ar, where a is a positive constant (a) Calculate the moment of inertia of the...

In 1654 Otto von Guericke, inventor of the air pump gave a demonstration before the noblemen of the Holy Roman Empire in which two teams of eight horses could not pull apart two evacuated brass...

An 8.0 g ice cube at 10oC is put into a Thermos flask containing 100 cm3 of water at 20oC. By how much has the entropy of the cube-water system changed when equilibrium is reached the specific heat...

The four particles in Figure P10.21 are connected by rigid rods of negligible mass. The origin is at the center of the rectangle. If the system rotates in the xy plane about the z axis with an...

Two small spheres, each of mass 2.00 g, are suspended by light strings 10.0 cm in length (Fig. P23.62). A uniform electric field is applied in the x direction. The spheres have charges equal to -5.00...

A coil of Nichrome wire is 25.0 m long. The wire has a diameter of 0.400 mm and is at 20.0C. If it carries a current of 0.500 A, what are (a) The magnitude of the electric field in the wire, and (b)...

A construction worker attempts to lift a uniform beam off the floor and raise it to a vertical position. The beam is 2.50 m long and weighs 500 N. At a certain instant the worker holds the beam...

Calculate the dimensions of an air-filled rectangular waveguide for which the cutoff frequencies for TM11 and TE03 modes are both equal to 12 GHz. At 8 GHz, determine whether the dominant mode will...

In the 1968 Olympic Games, University of Oregon jumper Dick Fosbury introduced a new technique of high jumping called the Fosbury flop. It contributed to raising the world record by about 30 cm and...

A horizontal plywood disk with mass 7.00 kg and diameter 1.00 m pivots on frictionless bearings about a vertical axis through its center. You attach a circular model-railroad track of negligible mass...

A monatomic ideal gas expands slowly to twice its original volume, doing 300 J of work in the process. Find the heat added to the gas and the change in internal energy of the gas if the process is...

One solenoid is centered inside another. The outer one has a length of 50.0 cm and contains 6750 coils, while the coaxial inner solenoid is 3.0 cm long and 0.120 cm in diameter and contains 15 coils....

Two blocks (A and B) remain stuck together as they are pulled to the right by a force F = 200 N (Fig. 4.47). B is on a rough horizontal tabletop (coefficient of kinetic friction of 0.800). (a) What...

The unit cell for MgFe2O4 (MgO-Fe2O3) has cubic symmetry with a unit cell edge length of 0.836 nm. If the density of this material is 4.52 g/cm3, compute its atomic packing factor. For this...

Two marbles are launched at t = 0 in the experiment illustrated in FIGURE 4-29. Marble 1 is launched horizontally with a speed of 4.20 m/s from a height h = 0.950 m. Marble 2 is launched from ground...

A 1.50-kg iron horseshoe initially at 600C is dropped into a bucket containing 20.0 kg of water at 25.0C. What is the final temperature? (Ignore the heat capacity of the container, and assume that a...

Energy is conventionally measured in Calories as well as in joules. One Calorie in nutrition is one kilocalorie defined as 1 kcal = 4 186 J. Metabolizing one gram of fat can release 9.00 kcal. A...

An experiment is performed in deep space with two uniform spheres, one with mass 25.0 kg and the other with mass 100.0 kg. They have equal radii, r = 0.20 In. The spheres are released from rest with...

There is a maximum depth at which Figure 14.33 a diver can breathe through a snorkel tube Exercise 14.17. (Fig. 14.33) because as the depth increases, so does the pressure difference, which tends to...

(a) A horizontal string tied at both ends is vibrating in its fundamental mode. The traveling waves have speed v, frequency f, amplitude A, and wavelength A. Calculate the maximum transverse velocity...

Two loudspeakers are at opposite ends of a railroad car as it moves past a stationary observer at 10.0 m/s, as shown in Fig. 12-37. If the speakers have identical sound frequencies of 212 Hz, what is...

Consider point a which is 72cm north of a 3.8μC point charge, and point b which is 88cm west of the charge (Fig. 17-26). Determine. (a) Vba = Vb Va and. (b) Eb = Ea (magnitude and direction). 72...

A 5.00 kg object is released from rest while fully submerged in a liquid. The liquid displaced by the submerged object has a mass of 3.00 kg. How far and in what direction does the object move in...

A horizontal pipe 10.0 cm in diameter has a smooth reduction to a pipe 5.00 cm in diameter. If the pressure of the water in the larger pipe is 8.00 X 104 Pa and the pressure in the smaller pipe is...

A motorcycle racer traveling at 145 km/h loses control in a corner of the track and slides across the concrete surface. The combined mass of the rider and bike is 243 kg. The steel of the motorcycle...

An air-conditioning duct has a cross section of 45 cm by 90 cm. Air flows in the duct at a velocity of 7.5 m/s at conditions of 1 atm and 300 K. Calculate the heat-transfer coefficient for this...

A long uniform rod of length L and mass M is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest in a vertical position, as shown in Figure P10.61. At the...

A solid conducting sphere of radius 2.00 cm has a charge of 8.00 %C. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total...

Two charged dust particles exert a force of 3.2 X 10-2N on each other. What will be the force if they are moved so they are only one-eight as far apart?

A sharp image is located 78.0 mm behind a 65.0-mm-focal-length converging lens. Find the object distance (a) Using a ray diagram. (b) By calculation.

Two polarizers are oriented at 38.0o to one another. Light polarized at a 19.0o angle to each polarizer passes through both. What percent reduction in intensity takes place?

Consider a unit cube with one corner at the origin and three adjacent sides lying along the three axes of a rectangular coordinate system. Find the vectors describing the diagonals of the cube. What...

Two very narrow slits are spaced 1.80m apart and are placed 35.0 cm from a screen. What is the distance between the first and second dark lines of the interference pattern when the slits are...

A plane flies 483 km east from city A to city B in 45.0 min and then 966 km south from city B to city C in 1.50 h. For the total trip, what are the (a) Magnitude and (b) Direction of the plane's...

A 4-lb ball B is traveling around in a circle of radius r1 = 3 ft with a speed (vB)1 = 6 ft/s. If the attached cord is pulled down through the hole with a constant speed vr = 2ft/s, determine how...

While redesigning a rocket engine, you want to reduce its weight by replacing a solid spherical part with a hollow spherical shell of the same size. The parts rotate about an axis through their...

A particle with mass 1.81 X l0-3 kg and a charge of 1.22 X l0-8 C has, at a given instant, a velocity u = (3.00 X l04 m/s )j. What are the magnitude and direction of the particle's acceleration...

A car traveling 85 km/h strikes a tree/ The front end of the car compresses and the driver comes to rest after traveling 0.80m. What was the average acceleration of the driver during the collision?...

The intensity of the Suns light in the vicinity of the Earth is about 1000 W/m2. Imagine a spacecraft with a mirrored square sail of dimension 1.0km. Estimate how much thrust (in newtons) this craft...

In Figure block 1 of mass m1 slides from rest along a frictionless ramp from height h = 2.50 m and then collides with stationary block 2, which has mass m2 = 00m1. After the collision, block 2 slides...

Assume that Youngs modulus is 1.50 - 1010 N/m2 for bone and that the bone will fracture if stress greater than 1.50 - 108 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on...