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...
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...
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...
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.
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 shock waves A, B, C are produced by supersonic aircraft. Rank their speeds from greatest to least. B.
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...
Switch S has been closed for a long time, and the electric circuit shown in Figure P28.68 carries a constant current. Take C1 = 3.00 μF, C2 = 6.00 μF, R1 = 4.00 kΩ, and R2 = 7.00...
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 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...
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...
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?
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...
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...
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...
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...
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 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...
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...
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...
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)
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...
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 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...
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 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...
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
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...
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?
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...
Find the output voltage vo(t) in the circuit of Fig. 8.94. t=0 10 512
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...
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...
If a galaxy is traveling away from us at 1.0% of the speed of light, roughly how far away is it?
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 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;...
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...
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...
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,...
Calculate the cyclotron frequency of a proton in a magnetic field of magnitude 5.20 T.
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...
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.
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)...
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...
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...
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...
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
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...
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...
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...
A square steel tube of length L = 20 ft and width b2 = 10.0 in. is hoisted by a crane (see figure). The tube hangs from a pin of diameter d that is held by the cables at points A and B. The cross...
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...
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...
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...
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...
After being produced in a collision between elementary particles, a positive pion (' +) must travel down a 1.20-km-Iong tube to reach an experimental area. A ' + particle has an average lifetime...
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...
Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. 240 lb 20 in 16 in -15 in.-
A spin 3/2 nucleus situated at the origin is subjected to an external inhomogeneous electric field. The basic electric quadrupole interaction may be taken to be where ? is the electrostatic potential...
The press shown is used to emboss a small seal at E. Knowing that the coefficient of static friction between the vertical guide and the embossing die D is 0.30, determine the force exerted by the die...
A section of land has an area of 1 square mile and contains 640 acres. Determine the number of square meters in 1 acre.
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...
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...
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?
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?
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...
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...
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...
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?
The magnetic field inside a superconducting solenoid is 4.50 T. The solenoid has an inner diameter of 6.20 cm and a length of 26.0 cm. Determine (a) The magnetic energy density in the field and (b)...
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...
In Figure P5.58 the incline has mass M and is fastened to the stationary horizontal tabletop. The block of mass m is placed near the bottom of the incline and is released with a quick push that sets...
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 Glass Rod Both ends of a glass rod with index of refraction 1.60 are ground and polished to convex hemispherical surfaces. The radius of curvature at the left end is 6.00 cm, and the radius of...
A steel trolley-car rail has a cross-sectional area of 56.0 cm2. What is the resistance of 10.0 km of rail? The resistivity of the steel is 3.00 x 10-7 m
Global warming is a cause for concern because even small changes in the Earths temperature can have significant consequences. For example, if the Earths polar ice caps were to melt entirely, the...
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...
You look directly overhead and see a plane exactly 1.5km above the ground flying faster than the speed of sound. By the time you hear the sonic boom, the plane has traveled a horizontal distance of...
List the quantum numbers for each electron in the ground state of nitrogen (Z = 7).
Find the potential outside an infinitely long metal pipe, of radius R, placed at right angles to an otherwise uniform electric field E0. Find the surface charge induced on the pipe.
An infinitely long cylinder, of radius R, carries a "frozen-in" magnetization. Parallel to the axis, M = ksz, where k is a constant and s is the distance from the axis; there is no free current...
Check that the potentials of a point charge moving at constant velocity (Eqs. 10.42 and 10.43) satisfy the Lorentz gauge condition (Eq. 10.12).
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...
Rail guns have been suggested for launching projectiles into space without chemical rockets, and for ground-to-air antimissile weapons of war. A tabletop model rail gun (Fig. P30.61) consists of two...
A thin, uniform rod has length L and mass M. Calculate the magnitude of the gravitational force the rod exerts on a particle with mass m that is at a point along the axis of the rod a distance x from...
A rubber ball is dropped from rest onto a linoleum floor a distance h1 away. The rubber ball bounces up to a height h2. What is the coefficient of restitution? What fraction of the original kinetic...
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...
A proton of charge +e and mass m enters a uniform magnetic field B = Bi with an initial velocity v = v0xi + v0yi. Find an expression in unit-vector notation for its velocity v at any later time t.
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...
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...
What is the acceleration experienced by the tip of the 1.5-cm-long sweep second hand on your wrist watch?
A 10.0-m length of wire consists of 5.0 m of copper followed by 5.0 m of aluminum, both of diameters 1.0mm. A voltage difference of 85 mV is placed across the composite wire. (a) What is the total...
A bucket of water is set spinning about its symmetry axis. Determine the shape of the water in the bucket.
The isotope 90Sr undergoes decay with a half-life of 28 years. (a) What nucleus is produced by this decay? (b) If a nuclear power plant is contaminated with 90Sr, how long will it take for the...