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)...
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...
Why are drag- racing tires wide and smooth, whereas passenger- car tires are narrower and have tread (Fig. 4.32)? Are there frictional and/ or safety considerations? Does this difference between the...
(a) Prove that the average magnetic field, over a sphere of radius R, due to steady currents within the sphere, is where m is the total dipole moment of the sphere. Contrast the electrostatic result,...
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...
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.
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 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?
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)
If a car is traveling westward with a constant speed of 20 m/s, what is the resultant force acting on it?
What voltage is needed to produce electron wavelengths of 0.20nm? (Assume that the electron is non-relativistic).
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...
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...
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 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...
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 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?
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...
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...
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...
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
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...
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 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)...
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?...
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
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...
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...
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...
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?
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...
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...
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...
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...
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.
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...
Find the tension in the two wires supporting the traffic light shown in Fig 9-46. 37 53 33 kg
How much energy is released when 238/92U absorbs a slow neutron (KE 0) and becomes 238/92U?
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.
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...
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...
A triangular highway gutter (Figure P6.2.7) is designed to carry a discharge of 52 m3/min on a channel slope of 0.0016. The gutter is 0.8 m deep with one side vertical and one side sloped at m: I (H:...
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...
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...
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...
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...
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...
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...
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?
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...
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...
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...
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?
How many photons per second are emitted by a 7.50-mW CO2 laser that bas a wavelength of 10.6m?
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...
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 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...
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 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...
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...
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...
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...
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...
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...
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...
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...
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 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...
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 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...
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...
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.
(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...
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...
In Figure a block is released from rest at height d = 40 cm and slides down a frictionless ramp and onto a first plateau, which has length d and where the coefficient of kinetic friction is 0.50. If...
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 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?
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...
(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....
(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...
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...
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...
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 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...
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 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...
(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...
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 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?
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...
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 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...
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...