Two long, parallel conductors, separated by 10.0 cm, carry currents in the same direction. The first wire carries current I1 = 5.00 A and the second carries I 2 = 8.00 A. (a) What is the magnitude of...

A brass lid screws tightly onto a glass jar at 20oC. To help open the jar, it can be placed into a bath of hot water. After this treatment, the temperatures of the lid and the jar are both 60oC. The...

(a) Show that the lens equation can be written in the Newtonian form xx` = f2, where x is the distance of the object from the focal point on the front side of the lens, and x` is the distance of the...

Calculate the wavelength of a 0.23-kg ball traveling at 0.10m/s.

Stars located in a certain cluster are assumed to be about the same distance from us. Two such stars have spectra that peak at 1 = 500 nm and 2 = 700nm, and the ratio of their apparent brightness is...

Figure shows a spherical shell with uniform volume charge density p = 1.84nC/m3, inner radius a = 10.0 cm, and outer radius b = 2.00a.What is the magnitude of the electric field at radial distances...

A U-tube contains liquid of unknown specific gravity. An oil of density 800 kg/m3 is poured into one arm of the tube until the oil column is 12 cm high. The oilair interface is then 5.0 cm above the...

The interface 2x + y = 8 between two media carries no current. If medium 1 (2x + y > 8) is nonmagnetic with H1 = 4ax + 3ay az A/m. Find: (a) The magnetic energy density in medium 1, (b) M2 and B2...

Over a certain region of space, the electric potential is V = 5x - 3x2y + 2yz2. Find the expressions for the x, y, and z components of the electric field over this region. What is the magnitude of...

A person is working near the secondary of a transformer, as shown in Figure P33.25. The primary voltage is 120 V at 60.0 Hz. The capacitance Cs, which is the stray capacitance between the hand and...

A uniform, solid metal disk of mass 6.50 kg and diameter 24.0 cm bangs in a horizontal plane, supported at its center by a vertical metal wire. You find that it requires a horizontal force of 4.23 N...

Hydraulic Lift L the hydraulic lift shown in Fig. 14.8, what must be the ratio of the diameter of the vessel at the car to the diameter of the vessel where the force F, is applied so that a 1520-kg...

The wire semicircles shown in Fig. have radii a and b. Calculate the net magnetic field (magnitude and direction) that the current in the wires produces at point P. b' Ca

Samples of copper, aluminum, and water experience the same temperature rise when they absorb the same amount of heat. What is the ratio of their masses?

The temperature and pressure in the Sun's atmosphere are 2.00 x 106 K and 0.0300 Pa. Calculate the rms speed of free electrons (mass 9.11 x 10-31 kg) there, assuming they are an ideal gas.

Suppose 200 J of work is done on a system and 70.0 cal is extracted from the system as heat. In the sense of the first law of thermodynamics, what are the values (including algebraic signs) of (a) W,...

Obtain Zin for the circuit in Fig. 9.67. 25 jl5 Zin

At what temperature would the average speed of helium atoms equal? (a) The escape speed from Earth, 1.12 X 104 m/s and (b) The escape speed from the Moon, 2.37 X 103 m/s? (See Chapter 13 for a...

A block of mass 0.450 kg is attached to one end of a cord of mass 0.003 20 kg; the other end of the cord is attached to a fixed point. The block rotates with constant angular speed in a circle on a...

In Bohrs 1913 model of the hydrogen atom, the electron is in a circular orbit of radius 5.29 x 10-11 m and its speed is 2.19 x 106 m/s. (a) What is the magnitude of the magnetic moment due to the...

A magnetic field of 1.30 T is to be set up in an iron-core toroid. The toroid has a mean radius of 10.0 cm, and magnetic permeability of 5 000 0. What current is required if the winding has 470 turns...

Estimate the total mass of the Earths atmosphere, using the known value of atmospheric pressure at sea level.

Electrons are accelerated by 6.0 kV in a CRT. The screen is 30 cm wide and is 34 cm from the 2.6-cm-long deflection plates. Over what range must the horizontally deflecting electric field vary to...

Consider a hot automotive engine, which can be approximated as a 0.5-m-high, 0.40-m-wide, and 0.8-m-long rectangular block. The bottom surface of the block is at a temperature of 80C and has an...

Suppose that the electric average power consumption, day and night, in a typical house is 950W. What initial mass of 235/92U would have to undergo fission to supply the electrical needs of such a...

Find the field inside a sphere of linear dielectric material in an otherwise uniform electric field E 0 (Ex. 4.7) by the following method of successive approximations: First pretend the field inside...

Find the pressure increase in the fluid in a syringe when a nurse applies a force of 42 N to the syringe's circular piston, which has a radius of 1.1 cm.

In the vertical jump, an athlete starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat the...

Consider the system shown in Fig. 6.37. The rope and pulley have negligible mass, and the pulley is frictionless. The coefficient of kinetic friction between the 8.00-kg block and the table-top is...

Balancing Act Attached to one end of a long, then, uniform rod of length L and mass M is a small blob of clay of the same mass M. (a) Locate the position of the center of mass of the system of rod...

A beat pump is a beat engine run in reverse. In winter it pumps heal from the cold air outside into the warmer air inside the building, maintaining the building at a comfortable temperature. In...

Two Polaroids are aligned so that the light passing through them is a maximum. At what angle should one of them be placed so that the intensity is subsequently reduced by half?

Calculate the wavelength of 35-GeV electrons.

It may have occurred to you that since parallel currents attract, the current within a single wire should contract into a tiny concentrated stream along the axis. Yet in practice the current...

Figure shows a 12.0V battery and four uncharged capacitors of capacitances C1 = 1.00F, C2 = 2.00F, C3 = 3.00F, and C4 = 4.00F, If only switch S1 is closed, what is the charge on (a) Capacitor 1, (b)...

The nonprismatic cantilever circular bar shown has an internal cylindrical hole from 0 to x, so the net polar moment of inertia of the cross section for segment 1 is (7/8)Ip. Torque T is applied at x...

The plane of a square loop of wire with edge length a = 0.200 m is perpendicular to the Earths magnetic field at a point where B = 15.0 /T, as shown in Figure P31.55. The total resistance of the loop...

A Carnot engine is operated between two heat reservoirs at temperatures of 520 K and 300 K (a) If the engine receives 6.45 k J f heat energy from the reservoir at 520 K in each cycle, how many joules...

A typical banana contains 400mg of potassium, of which a small fraction is the radioactive isotope 40/19K (see Appendix B). Estimate the activity of an average banana due to 40/19K.

Astronomers detect a distant meteoroid moving along a straight line that, if extended, would pass at a distance 3RE from the center of the Earth, where RE is the radius of the Earth. What minimum...

A uniform ladder of length L and mass m1 rests against a frictionless wall. The ladder makes an angle) with the horizontal. (a) Find the horizontal and vertical forces the ground exerts on the base...

A 6.0-kg block is pushed 8.0 m up a rough 37o inclined plane by a horizontal force of 75 N. If the initial speed of the block is 2.2m/s up the plane and a constant kinetic friction force of 25 M...

A room has dimensions 3.00m (height) x 3.70 x 4.30m. A fly starting at one corner flies around, ending up at the diagonally opposite corner. (a) What is the magnitude of its displacement? (b) Could...

If you take the model in Ex. 4.1 at face value, what natural frequency do you get? Put in the actual numbers. Where, in the electromagnetic spectrum, does this lie, assuming the radius of the atom is...

Four charges are located at the corners of a square, as illustrated in Fig. 15.27. What are the magnitude and the direction of the force (a) On charge q2 and (b) On charge q4? q1 =-10pC 0.10 m 0.10 m...

The position of a particle between t = 0 and t = 2.00 s is given by x(t) = (3.00m/S3)t3 - (10.0m/s2 )t2 + (9.00m/s)t. (a) Draw the x-t, v.-t, and az-f graphs of this particle. (b) At what time(s)...

A physics student playing with an air hockey table (a frictionless surface) finds that if she gives the puck a velocity of 3.80rn}s along the length (1.75 m) of the table at one end, by the time it...

In Figure a proton is a distance d/2 directly above the center of a square of side d. What is the magnitude of the electric flux through the square? d/2

A cylindrical rod 24.0 cm long with mass 1.20 kg and radius 1.50 cm has a ball of diameter 8.00 cm and mass 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with...

In the circuit of Figure P32.48, the battery emf is 50.0 V, the resistance is 250 Ω, and the capacitance is 0.500 μF. The switch S is closed for a long time and no voltage is measured across...

Human Hearing. The auditory canal of the human ear (see Fig. 16.4) extends about 2.5 cm from the outside ear to the eardrum. (a) Explain why the human ear is especially sensitive to sounds at...

While two forces act on it, a particle is to move at the constant velocity v = (3 m/s)i (4 m/s)j. One of the forces is F1 = (2 N)i + ( 6 N)j. What is the other force?

The drawing that accompanies Problem 60 shows a graph of a set of equipotential surfaces in cross section. The grid lines are 2.0 cm apart. Determine the magnitude and direction of the electric field...

The fastest commercially available rifle bullet claims a muzzle velocity of 4225 ft/s. (a) What is this speed in miles per hour? (b) How far (in meters) can this bullet travel in 5.0 ms?

A section of land has an area of 1 square mile and contains 640 acres. Determine the number of square meters in 1 acre.

The rectangle shown in Figure P3.57 has sides parallel to the x and y axes. The position vectors of two corners are A = 10.0 m at 50.0° and B = 12.0 m at 30.0°. (a) Find the perimeter of the...

Determine the direction of B for each case in Fig 20-52, where F represents the maximum magnetic forces on a positively charged particle moving with velocity v. (b) (a) (c)

If a galaxy is traveling away from us at 1.0% of the speed of light, roughly how far away is it?

A 3-kg box resting on a horizontal shelf is attached to a 2-kg box by a light string as in figure. (a) What is the minimum coefficient of static friction such that the objects remain at rest? (b) If...

A uniform, 1.00-m stick hangs from a horizontal axis at one end and oscillates as a physical pendulum. An object of small dimensions and with mass equal to that of the meter stick can be clamped to...

A laser used to weld detached retinas emits light with a wavelength of 652nm in pulses that are 20.0 ms in duration. The average power during each pulse is 0.600 W. (a) How much energy is in each...

A sphere of linear dielectric material has embedded in it a uniform free charge density p. Find the potential at the center of the sphere (relative to infinity), if its radius is R and its dielectric...

A biology laboratory is maintained at a constant temperature of 7.00C by an air conditioner, which is vented to the air outside. On a typical hot summer day the outside temperature is 27.0C and the...

Starting from rest, a constant force F = 100 N is applied to the free end of a 50-m cable wrapped around the outer rim of a uniform solid cylinder, similar to the situation shown in Fig. 10.9(a). The...

A beam of x rays with wavelength 0.0500nm is Compton scattered by the electrons in a sample. At what angle from the incident beam should you look to find x rays with a wavelength of? (a) 0.0542nm;...

A sound source A and a reflecting surface B move directly toward each other. Relative to the air, the speed of source A is 29.9 m/s, the speed of surface B is 65.8 m/s, and the speed of sound is 329...

Figure shows a parallel-plate capacitor of plate area A = 10.5 cm2 and plate separation 2d = 7 .12 mm. The left half of the gap is filled with material of dielectric constant K1 = 21.0; the top of...

In a mass spectrometer, a beam of protons enters a magnetic field. Some protons make exactly a one-quarter circular arc of radius 0.50 m. If the field is always perpendicular to the protons velocity,...

A thermodynamic system undergoes a process in which its internal energy decreases by 500 J. At the same time, 220 J of work is done on the system. Find the energy transferred to or from it by heat.

Calculate the cyclotron frequency of a proton in a magnetic field of magnitude 5.20 T.

Two springs, each with unscratched length 0.200 m, but with different force constants k, and k2 are attached to opposite ends of a block with mass m on a level, frictionless surface. The outer ends...

Figure 3-B illustrates a mass m1 driven by a sinusoidal force whose frequency is w. The mass m1 is attached to a rigid support by a spring of force constant k and slides on a second mass m2. The...

In one form of cataract surgery the person's natural lens, which has become cloudy, is replaced by an artificial lens. The refracting properties of the replacement lens can be chosen so that the...

A very long cylinder of linear dielectric material is placed in an otherwise uniform electric field E 0. Find the resulting field within the cylinder. (The radius is a, the susceptibility Xe, and the...

Two metal disks, one with radius R, = 2.50 cm and mass M, = O.SO kg and the other with radius R2 = 5.00 cm and mass M2 = 1.60 kg, are welded toge1her and mounted on a frictionless axis through their...

Resilience in a Mechanical System a mass m is attached to one end of a massless spring with a force constant k and an unscratched length 10 the other end of the spring is free to turn about a nail...

A concave mirror has a radius of curvature of 34.0cm. (a) What is its focal length? (b) If the mirror is immersed in water (refractive index 1.33), what is its focal length?

The water level in a vertical glass tube 1.00 m long can be adjusted to any position in the tube. A tuning fork vibrating at 686 Hz is held just over the open top end of the tube, to set up a...

Suppose the prism of Figure has apex angle ? = 60.0? and index of refraction n = 1.60.(a) What is the smallest angle of incidence ? for which a ray can enter the left face of the prism and exit the...

A parallel-plate capacitor has the space between the plates filled with two slabs of dielectric, one with constant K1 and one with constant K2 (Fig). The thickness of each slab is the same as the...

In the circuit shown in Fig. find (a) The current in each branch and (b) The potential difference Vab of point a relative to point b. 2.00n 10.00 V, a 3.000 1.00N 5.00 V, 4.00 10.00 0

A hydraulic lift is used to jack a 970-kgcar 12cm off the floor. The diameter of the output piston is 18cm, and the input force is 250N. (a) What is the area of the input piston? (b) What is the work...

Estimate what neutrino rest mass (in eV) would provide the critical density to close the universe. Assume the neutrino density is, like photons, about 109 times that of nucleons, and that nucleons...

Figure shows two isotropic point sources of light (S1 and S2) that emit in phase at wavelength 400 nm and at the same amplitude. A detection point P is shown on an x axis that extends through source...

As a person moves about in a dry environment, electric charge accumulates on his body. Once it is at high voltage, either positive or negative, the body can discharge via sometimes noticeable sparks...

For the situation described in part (a) of Example 13.5, what should be the value of the putty mass m so that the amplitude after the collision is one-half the original amplitude? For this value of...

A block of balsa wood placed in one scale pan of an equal-arm balance is exactly balanced by a 0.0950-kg brass mass in the other scale pan. Find the true mass of the balsa wood if its density is 150...

Calculate the potential due to a thin circular ring of radius a and mass M for points lying in the plane of the ring and exterior to it. The result can be expressed as an elliptic integral. Assume...

Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rotational inertia...

A particle starts from the origin at t = 0 with a velocity of 8.0j m/s and moves in the xy plane with constant acceleration (4.0i + 2.0j) m/s2. When the particle's x coordinate is 29 m, what are its...

Two loudspeakers, A and B (Fig. 16.40), are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 2.00 m to the right of speaker A. The frequency of the sound waves produced...

Four particles (one of charge q, one of charge 3q, and two of charge 2q) are placed as shown in Fig. 3.31, each a distance a from the origin. Find a simple approximate formula for the potential,...

A circular rod has a radius of curvature R = 9.00 cm and a uniformly distributed positive charge Q = 6.25pC and subtends an angle = 2.40 rad. What is the magnitude of the electric field that Q...

Instead of using the x- and y-axes of Fig. 4.8 to analyze the situation of Example 4.1, use axes rotated 37.0 counterclockwise, so the y-axis is parallel to the 250-N force. (a) For these axes find...

Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. The frequency of the waves emitted by each speaker is 860 Hz. Point P is 12.0 m from A and 13.4 m from...

Two particles having charges q1 = 0.500 nC and q2 = 8.00 nC are separated by a distance of 1.20 m. At what point along the line connecting the two charges is the total electric field due to the two...

An electric dipole consists of charges + 2e and 2e separated by 0.78 nm. It is in an electric field of strength 3.4 x 106N/C. Calculate the magnitude of the torque on the dipole when the dipole...

An experiment is conducted to measure the electrical resistivity of Nichrome in the form of wires with different lengths and cross-sectional areas. For one set of measurements, a student uses...

A neophyte magnet designer tells you that he can produce a magnetic field B in vacuum that points everywhere in the x-direction and that increases in magnitude with increasing x. That is, B = B0 (x/a...

A mass m at the end of a spring vibrates with a frequency of 0.88 Hz. When an additional 680-g mass is added to m, the frequency is 0.60Hz. What is the valued of m?