Express the following points in Cartesian coordinates: (a) P(1, 60, 2) (b) Q(2, 90, 4) (c)R(, 45, 210) (d) T(4, /2, /6)

A 1.00-mH inductor and a 1.00-F capacitor are connected in series. The current in the circuit is described by I = 20.0t, where t is in seconds and I is in amperes. The capacitor initially has no...

You hold a spherical salad bowl 90cm in front of your face with the bottom of the bowl facing you. The salad bowl is made of polished metal with a 35-cm radius of curvature. (a) Where is the image of...

A 100-W incandescent light bulb bas a cylindrical tungsten filament 30.0cm long, 0.40 mm in diameter, and with an emissivity of 0.26. (a) What is the temperature of the filament? (b) For what...

A 15 000 kg helicopter lifts a 4500 kg truck with an upward acceleration of 1.4 m/s 2 . Calculate (a) The net upward force on the helicopter blades from the air and (b) The tension in the cable...

The polar ice caps contain about 2.3 x 1019 kg of ice. This mass contributes negligibly to the moment of inertia of the earth because it is located at the poles, close to the axis of rotation....

The drawing refers to one mole of a monatomic ideal gas and shows a process that has four steps, two isobaric (A to B, C to D) and two isochoric (B to C, D to A). Complete the following table by...

For diatomic carbon dioxide gas ( CO2, molar mass 44.0 g/mol) at T = 300 K, calculate (a) The most probable speed Ump; (b) The average speed Uav (c) The root-mean-square speed Urms.

A person wants to push a lam (mass 7.2 kg) across the floor, for which the coefficient of friction is 0.020. Calculate the maximum height x above the floor at which the person the lamp so that it...

A teenager pushed tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 15 rpm in 10.0s. Assume the merry-go-round is a uniform disk of radius...

Kitchen Capacitance. The wiring for a refrigerator contains a starter capacitor. A voltage of amplitude 170 V and frequency 60.0 Hz applied across the capacitor is to produce a currentamplitude of...

A 0.1-kg yo-yo consists of two solid disks of radius 10 cm joined together by a massless rod of radius 1 cm and a string wrapped around the rod. One end of the string is held fixed and is under...

A spring is suspended vertically from the ceiling of a room. When a mass is attached to the bottom of the spring, the amount of stretch is recorded. A plot of stretch versus mass is given in FIGURE...

A galvanometer needle deflects full scale for a 53.0-A current. What current will give full-scale deflection if the magnetic field weakens to 0.860 of its original value?

A 50.0 g stone is attached to the bottom of a vertical spring and set vibrating. If the maximum speed of the stone is 15.0 cm/s and the period is 0.500 s, find the (a) Spring constant of the spring,...

A cantilever beam of rectangular cross section is subjected to a concentrated load P = 17 k acting at the free end (see figure). The beam has width b = 3 in. and height h = 12 in. Point A is located...

A 30-k resistor is in series with a 45-mH inductor and an ac source. Calculate the impedance of the circuit if the source frequency is. (a) 50 Hz, and. (b) 3.0 x 104 Hz.

Two sound waves have equal displacement amplitudes, but one has twice the frequency of the other. What is the 4ratio of their intensities?

Check Stokes' theorem using the function v = ay x + bx y (a and b are ,constants) and the circular path of radius R, centered at the origin in the xy plane.

A 9.40 kg projectile is fired vertically upward. Air drag decreases the mechanical energy of the projectile-Earth system by 68.0 kJ during the projectile's ascent. How much higher would the...

A 10.0-V battery, a 5.00-. resistor, and a 10.0-H inductor are connected in series. After the current in the circuit has reached its maximum value, calculate (a) The power being supplied by the...

If a car is traveling westward with a constant speed of 20 m/s, what is the resultant force acting on it?

A train traveling at a constant speed rounds a curve of radius 235m. A lamp suspended from the ceiling swings out to an angle of 17.5o throughout the curve. What is the speed of the train?

Four waves are to be sent along the same string, in the same direction: y1(x, t) = (4.00 mm) sin (2x 400t) y2(x, t) = (4.00 mm) sin (2x 400t + 0.7) y3(x, t) = (4.00 mm) sin (2x 400t + ) y4(x, t) =...

In 1887 in Bridgeport, Connecticut, C. J. Belknap built the water slide shown in Figure P8.74. A rider on a small sled, of total mass 80.0 kg, pushed off to start at the top of the slide (point C)...

A jet aircraft is accelerating at 3.5 m/s2 at an angle of 45o above the horizontal. What is the total force the cockpit seat exerts on the 75-kg pilot?

The armature of a small generator consists of a flat, square coil with 120 turns and sides with a length of 1.60 cm. The coil rotates in a magnetic field of 0.0750 T. What is the angular speed of the...

Laser light of wavelength 500.0 nm illuminates two identical slits, producing an interference pattern on a screen 90.0cm from the slits. The bright bands are 1.00 cm apart, and the third bright bands...

Natural gas burned in a gas turbine has a heating value of 1.10 x 105 cal/g. If the turbine is 24.0% efficient and 2.50 g of gas is burned each second, find (a) How many joules of work are obtained?...

A student obtains the following data in a calorimetry experiment designed to measure the specific heat of aluminum: Initial temperature of Water and calorimeter: 70C Mass of water: 0.400 kg Mass of...

A parallel-plate capacitor is constructed by filling the space between two square plates with blocks of three dielectric materials, as in Figure P26.61. You may assume that , d. (a) Find an...

Assrune that the earth's orbit around the sun is circular use the earth's orbital radius and orbital period given in Appendix F to calculate the mass of the sun.

When a massive aluminum sculpture is hung from a steel wire, the fundamental frequency for transverse standing waves on the wire is 250.0 Hz. The sculpture (but not the wire) is then completely...

In Figure a wire forms a semicircle of radius R = 9.26 cm and two (radial) straight segments each of length L = 13.1 cm. The wire carries current i = 34.8 mA. What are the (a) Magnitude and (b)...

1. A pile driver falls a distance of 2.50 m before hitting a pile. Find its velocity as it hits the pile. 2. A sky diver jumps out of a plane at a height of 5000 ft. If her parachute does not open...

During a hot summer day when the air temperature is 35oC and the relative humidity is 70 percent, you buy a supposedly "cold" canned drink from a store. The store owner claims that the temperature of...

In 2013 Airbus announced a contract to deliver 50 A380 airplanes to Emirates for $20 billion to be delivered between 2016 and 2018. Required: Outline the fivestep revenue recognition process for this...

Two springs are in parallel if they are parallel to each other and are connected at their ends (Figure 6.33). We can think of this combination as being equivalent to a single spring. The force...

A thermodynamic system undergoes a cyclic process as shown in Fig. 19.24. The cycle consists of two closed loops: I and II. (a) Over one complete cycle, does the system do positive or negative work?...

A mass m is connected to two springs, with spring stiffness constants k1 and k2, as shown in Fig. 11-51. Ignore friction. Show that the period is give by

A light beam coming from an underwater spotlight exits the water at an angle of 66.0o to the vertical. At what angle of incidence does it hit the air-water interface from below the surface?

How much energy is released when 238/92U absorbs a slow neutron (KE 0) and becomes 238/92U?

After a long day of driving you take a late-night swim in a motel swimming pool when you go to your room you realize that you have lost your room key in the pool. You borrow a powerful flashlight and...

Response of the Eye the human eye is most sensitive to green light of wavelength 505nm. Experiments have found that when people are kept in a dark room until their eyes adapt to the darkness, a...

Consider the current-carrying loop shown in Figure P30.12, formed of radial lines and segments of circles whose centers are at point P. Find the magnitude and direction of B at P. 60

Rolling Friction two bicycle tires are set rolling with the same initial speed of 3.50 m/s on a long, straight road, and the distance each travels before its speed is reduced by half is measured. One...

A uniform 165-N bar is supported horizontally by two identical wires A and B (Fig. 16.43).Asmall185-N cube of lead is placed 3/4 of the way from A toB. The wires are each 75.0 cm long and have a mass...

In a certain region of space, the electric potential is V(x, y, z) = Axy Bx2 + Cy, where A, B, and C are positive constants. (a) Calculate the x-, y-, and z-components of the electric field. (b) At...

Find the tension in the two wires supporting the traffic light shown in Fig 9-46. 37 53 33 kg

What voltage is needed to produce electron wavelengths of 0.20nm? (Assume that the electron is non-relativistic).

Quasars, an abbreviation for quasi-stellar radio sources, are distant objects that look like stars through a telescope but that emit far more electromagnetic radiation than an entire normal galaxy of...

Given that the intensity of solar radiation incident on the upper atmosphere of the Earth is 1 340 W/m2, determine (a) The intensity of solar radiation incident on Mars, (b) The total power incident...

A Youngs interference experiment is performed with monochromatic light. The separation between the slits is 0.500 mm, and the interference pattern on a screen 3.30 m away shows the first side maximum...

Light is incident on a diffraction grating with 8600 lines/cm, and the pattern is viewed on a screen 2.5m from the grating. The incident light beam consists of two wavelengths, 1 = 4.6 x 10-7 m and 2...

The rotor of an electric motor has rotational inertia Im = 2.0 x 10 3 kg m2 about its central axis. The motor is used to change the orientation of the space probe in which it is mounted. The motor...

An electron enters a region of uniform electric field with an initial velocity of 40 km/s in the same direction as the electric field, which has magnitude E 50 N/C. (a) What is the speed of the...

Generally, more massive nuclides tend to be more unstable to alpha decay. For example, the most stable isotope of uranium, 238U, has an alpha decay half-life of 4.5 x 109 y. The most stable isotope...

A 0.100-kg ball is thrown straight up into the air with an initial speed of 15.0 m/s. Find the momentum of the ball (a) At its maximum height and (b) Halfway up to its maximum height.

An air conditioner operates on 800 W of power and has a performance coefficient of 2.80 with a room temperature of 21.0oC and an outside temperature of 35.0oC. (a) Calculate the rate of heat removal...

A long, straight, solid cy1inder, oriented with its axis in the z-direction, carries a current whose current density is J. The current density, although symmetrical about the cylinder axis, is not...

How many photons per second are emitted by a 7.50-mW CO2 laser that bas a wavelength of 10.6m?

When a block of mass M, connected to the end of a spring of mass ms = 7.40 g and force constant k, is set into simple harmonic motion, the period of its motion is T = 2π √M + (ms/3)/k A...

Why it is dangerous to touch the terminals of a high voltage capacitor even after the applied potential difference has been turned off? What can be done to make the capacitor safe to handle after the...

Two parallel wires are 5.00 cm apart and carry currents in opposite directions, as shown in Fig. Find the magnitude and direction of the magnetic field at point P due to two 1.50-mm segments of wire...

Estimate the total path length traveled by a deuteron in the cyclotron of Sample Problem 28-5 during the (entire) acceleration process. Assume that the accelerating potential between the Dees is 80...

At t = 0, a battery is connected to a series arrangement of a resistor and an inductor. If the inductive time constant is 37 .0 ms, at what time is the rate at which energy is dissipated in the...

A signal in air (z ? 0) with the electric field component E = 10 sin ( w t +?3z) a x V/m hits normally the ocean surface at z =?0 as in figure. Assuming that the ocean surface is smooth and that ? =...

Find the output voltage vo(t) in the circuit of Fig. 8.94. t=0 10 512

A long thin solenoid of length l and cross-sectional area A contains N1 closely packed turns of wire. Wrapped tightly around it is an insulated coil of N2 turns, Fig.21-52. Assume all the flux from...

A converging lens 7.20 cm in diameter bas a focal length of 300mm. If the resolution is diffraction limited, how far away can an object be if points on it 4.00mm apart are to be resolved (according...

Determine the Lienard-Wiechert potentials for a charge in hyperbolic motion (Eq. 10.45). Assume the point r is on the x axis and to the right of the charge.

At an airport, luggage is unloaded from a plane into the three cars of a luggage carrier, as the drawing shows. The acceleration of the carrier is 0.12 m/s2, and friction is negligible. The coupling...

A 670-kg meteorite happens to be composed of aluminum. When it is far from the Earth, its temperature is -15C and it moves with a speed of 14.0 km/s relative to the Earth. As it crashes into the...

Knowing Magnetic Fields Inside and Out. You are given a hollow copper cylinder with inner radius a and outer radius 3a. The cylinder's length is 200a and its electrical resistance to current flowing...

A curve of radius 67m is banked for a design speed of 95km/h. If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely handle the curve?

Two waves are generated on a string of length 3.0m to produce a three-loop standing wave with an amplitude of 1.0 cm. The wave speed is 100 m/s. Let the equation for one of the waves be of the form...

A certain brand of hotdog cooker works by applying a potential difference of 120 V across opposite ends of a hot dog and allowing it to cook by means of the thermal energy produced. The current is...

A certain quaternary star system consists of three stars, each of mass m, moving in the same circular orbit of radius r about a central star of mass M. The stars orbit in the same sense, and are...

Calculate the magnetic flux through the area enclosed by a 300-turn, 7.20-mH coil when the current in the coil is 10.0 mA.

Visible Light is a wave, but not a mechanical wave. The quantities that oscillate are electric and magnetic fields. Light visible to humans has wavelengths between 400 urn (violet) and 700 urn (red),...

A Capacitor Burglar Alarm The capacitance of a capacitor can be affected by dielectric material that, although not inside the capacitor, is near enough to the capacitor to be polarized by the...

A falling sky diver reaches terminal speed with her parachute closed. After the parachute is opened, what parameters change to decrease this terminal speed?

Suppose you adjust your garden hose nozzle for a hard stream of water. You point the nozzle vertically upward at a height of 1.5m above the ground (Fig 2-33). When you quickly move the nozzle away...

An automobile driver traveling down and 8% grade slams on his brakes and skids 30 m before hitting a parked car. A lawyer hires an expert who measures the coefficient of kinetic friction between the...

Three horizontal forces (the only horizontal ones) act on a box sitting on a floor. One (call it F1) acts due east and has a magnitude of 150 lb. A second force (call it F2) has an easterly component...

A copper bar AB of length 25 in. and diameter 2 in. is placed in position at room temperature with a gap of 0.008 in. between end A and a rigid restraint (see figure). The bar is supported at end B...

A neutral pion 0 moving at speed v = 0.98c decays in flight into two photons. If the two photons emerge on each side of the pions direction with equal angles find the angle and energies of the...

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...

(a) An ideal gas initially at pressure ps undergoes a free expansion until its volume is 3.00 times its initial volume. What then is the ratio of its pressure to p0? (b) The gas is next slowly and...

The force that accelerates a car along a flat road is the frictional force exerted by the road on the car's tires. (a) Explain why the acceleration can be greater when the wheels do not spin. (b) If...

The circuit in Figure P28.37 has been connected for a long time. (a) What is the voltage across the capacitor? (b) If the battery is disconnected, how long does it take the capacitor to discharge to...

An 80.0- resistor and a 200-mH inductor are connected in parallel across a 100-V (rms), 60.0-Hz source. (a) What is the rms current in the resistor? (b) By what angle does the total current lead or...

Two horizontal, infinite, plane sheets of charge are separated by a distance d. The lower sheet has negative charge with uniform surface charge density - < 0. The upper sheet has positive charge with...

(a) If a spherical raindrop of radius 0.650 mm carries a charge of -1.20 C uniformly distributed over its volume, what is the potential at its surface? (Take the potential to be zero at an infinite...

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...

Two transmission belts pass over a double-sheaved pulley that is attached to an axle supported by bearings at A and D. The radius of the inner sheave is 125 mm and the radius of the outer sheave is...

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...

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...

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...

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...