In Fig. 6-63, a block weighing 22 N is held at rest against a vertical wall by a horizontal force F of magnitude 60 N. The coefficient of static friction between the wall and the block is 0.55, and...
You push a 2.0 kg block against a horizontal spring, compressing the spring by 15 cm. Then you release the block, and the spring sends it sliding across a tabletop. It stops 75 cm from where you...
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...
A coating is applied to a lens to minimize reflections. The index of refraction of the coating is 1.55, and that of the lens is 1.48. If the coating is 177.4 nm thick, what wavelength is minimally...
The volume charge density of a solid nonconducting sphere of radius R = 5.60 cm varies with radial distance r as given by = (14.1 pC/m3)r/R. (a) What is the sphere's total charge? What is the field...
Mass M is distributed uniformly along a line of length 2L. A particle with mass m is at a point that is a distance a above the center of the line on its perpendicular bisector (point P in a Fig....
A 9.6-cm-diameter circular loop of wire is in a 1.10-T magnetic field. The loop is removed from the field in 0.15 s. What is the average induced emf?
A 0.100-g speck of dust is accelerated from rest to a speed of 0.900c by a constant 1.00 x 106 N force. (a) If the non-relativistic form of Newton's second law (F = mal is used, how far does the...
A particle moving in one dimension (the x-axis) is described by the wave function where b = 2.00 m-1,A > 0, and the +x-axis points toward the right(a) Determine A so that the wave function is...
A particle is acted on by two torques about the origin r1 has a magnitude of 2.0 N m and is directed in the positive direction of the x axis, and r2 has a magnitude of 4.0 N m and is directed in the...
We know that for an adiabatic process pV = a constant. Evaluate "a constant" for an adiabatic process involving exactly 2.0 mol of an ideal gas passing through the state having exactly p = 1.0 atm...
The circuit in the drawing contains five identical resistors. The 45-V battery delivers 58 W of power to the circuit. What is the resistance R of eachresistor? 45 V
A 5.5-kW water heater operates at 240 V. (a) Should the heater circuit have a 20-A or a 30-A circuit breaker? (A circuit breaker is a safety device that opens the circuit at its rated current.) (b)...
Assume in problem 50 that the speeders speed is not known. It the police car accelerates uniformly as given above, and overtakes the speeder after 7.00s, what was the speeders speed?
In Figure positive charge q = 7 .81pC is spread uniformly along a thin non-conducting rod of length L = 14.5 cm. What are the (a) Magnitude and (b) Direction (relative to the positive direction of...
Consider the gas-solid equilibrium under the extreme assumption that the entropy of the solid may be neglected over the temperature range of interest. Let 0 be the cohesive energy of the solid, per...
Refer to Conceptual Example as an aid in solving this problem. An intergalactic cruiser has two types of guns: a photon cannon that fires a beam of laser light and an ion gun that shoots ions at a...
Plot a velocity resonance curve for a driven, damped oscillator with Q = 6, and show that the full width of the curve between the points corresponding to xmax/2 is approximately equal to w0/6.
Find the center of mass of a uniformly solid cone of base diameter 2a and height h.
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) In 1964, the temperature in the Siberian village of Oymyakon reached 71oC. What temperature is this on the Fahrenheit scale? (b) The highest officially recorded temperature in the continental...
The rigid L-shaped member ABC is supported by a ball-and-socket joint at A and by three cables. If a 1.8-kN load is applied at F, determine the tension in each cable. 420 mm 420 mm 240 mm 210 mm 320...
A series RLC circuit has components with following values: L = 20.0 mH, C = 100 nF, R = 20.0 , and Vmax = 100 V, with v = Vmax sin wt. Find (a) The resonant frequency, (b) The amplitude of the...
A radio tower rises to height h above flat horizontal ground. At the top is a magnetic dipole antenna, of radius b, with its axis vertical. FM station KRUD broadcasts from this antenna at angular...
A single pulse, given by h(x ?? 5.0t), is shown in Figure for t = 0.The scale of the vertical axis is set by hs = 2.Herex is in centimeters and r is in seconds. What are the(a) Speed and(b) Direction...
A 150 g copper bowl contains 220 g of water, both at 20.0oC. A very hot 300 g copper cylinder is dropped into the water, causing the water to boil, with 5.00 g being converted to steam. The final...
Physicist S. A. Goudsmit devised a method for measuring the mass of heavy ions by timing their period of revolution in a known magnetic field. A singly charged ion of iodine makes 7.00 rev in a...
Two isolated, concentric, conducting spherical shells have radii R1 = 0.500 m and R2 = 1.00 m, uniform charges q1 = + 2.00C and q2 = +1.00C, and negligible thicknesses. What is the magnitude of the...
A regional airline flight consists of two legs with an intermediate stop. The airplane flies 400 km due north from airport A to airport B. From there, it flies 300 km due east to its final...
Use phasors to find the resultant (magnitude and phase angle) of two fields represented by E1 = 12 sin wt and E2 = 18 sin (wt + 60). (Note that in this case the amplitudes of the two fields are...
What are Eo and Bo 2.00 m from a 95- W light source? Assume the bulb emits radiation of a single frequency uniformly in all directions.
Determine the terminal voltage of each battery in Fig. 19-44. r= 1.02 E = 18 V R 6.6 2 r= 2.0 2 8 = 12 V
In an L-R-C series circuit the magnitude of the phase angle is 54.0", with the source voltage lagging the current. The reactance of the capacitor is 350 , and the resistor resistance is 180 . The...
What is the kinetic energy of a proton moving at? (a) 0.100c; (b) 0.500c; (c) 0.900c? How much work must he done to (d) Increase the proton's speed from 0.l00c to 0.500c and (e) Increase the proton's...
In the Blackhawk landslide in California, a mass of rock and mud fell 460 m down a mountain and then traveled 8 km across a level plain on a cushion of compressed air. Assume that the mud dropped...
A prismatic bar of diameter d0 = 20 mm is being compared with a stepped bar of the same diameter (d1 = 20 mm) that is enlarged in the middle region to a diameter d2 = 25 mm (see figure). The radius...
A cylindrical piece of 8640 steel is to be austenitized and quenched in moderately agitated oil. If the hardness at the surface of the piece must be at least 49 HRC, what is the maximum allowable...
Figure P14.54 shows a water tank with a valve at the bottom. If this valve is opened, what is the maximum height attained by the water stream coming out of the right side of the tank? Assume that h =...
On an essentially frictionless, horizontal ice rink, a skater moving at 3.0 m/s encounters a rough patch that reduces her speed by 4S% due to a friction force that is 25% of her weight. Use the...
A baby's mouth is 30 cm from her father's ear and 1.50 m from her mother's ear. What is the difference between the sound intensity levels heard by the father and by the mother?
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 sinusoidal electromagnetic wave emitted by a cellular phone has a wavelength of 35A cm and an electric-field amplitude of 5.40 x 10-2 V/m at a distance of 250 m from the antenna. Calculate (a) The...
What parameters affect the inductance of a coil? Does the inductance of a coil depend on the current in the coil?
Materials such as ordinary concrete and stone are very weak under tension or shear. Would it be wise to use such a material for either of the supports of the cantilever shown in Fig 9-9? If so, which...
The oscillator of Problem 3-1 is set into motion by giving it an initial velocity of 1 cm/s at its equilibrium position. Calculate (a) The maximum displacement and (b) The maximum potential energy.
Estimate the speed of a galaxy, and its distance from us. If the wavelength for the hydrogen line at 434nm is measured on Earth as being 610nm.
If a diffraction grating produces a third-order bright spot for red light (of wavelength 700 nm) at 65.0o from the central maximum, at what angle will the second-order bright spot be for violet light...
Calculate the volume integral of the function T = z2 over the tetrahedron with comers at (0,0,0), (1,0,0), (0,1,0), and (0,0,1).
The masses and coordinates of three spheres are as follows: 20kg, x = 0.50 m, y = 1.0 m; 40 kg, x = 1.0 m, y = 1.0 m; 60 kg, x = 0m, y = 0.50 m. What is the magnitude of the gravitational force on...
A slab of copper of thickness b = 2.00 mm is thrust into a parallel plate capacitor of plate area A = 2.40 cm2 and plate separation d = 5.00 mm, as shown in Figure the slab is exactly between the...
Find the order of magnitude of the density of the nucleus of an atom. What does this result suggest concerning the structure of matter? Model a nucleus as protons and neutrons closely packed...
A particle with a charge of '60.0 nC is placed at the center of a non-conducting spherical shell of inner radius 20.0 cm and outer radius 25.0 cm. The spherical shell carries charge with a uniform...
A triangular glass prism with apex angle Φ has index of refraction n. What is the smallest angle of incidence θ1 for which a light ray can emerge from the other side?
Suppose the elevator in Problem 3.82 starts from rest and maintains a constant upward acceleration of 4.00 m/s2, and the bolt falls out the instant the elevator begins to move. (a) How long does it...
Five moles of an ideal monatomic gas with an initial temperature of 127C expand and, in the process, absorb 1200 J of heat and do 2100 J of work. What is the final temperature of the gas?
A small immersion heater is rated at 350 W. Estimate how long it will take to heat a cup of soup (assume this is 250mL of water) from 20oC to 60oC.
If the humidity in a room of volume 680 m3 at 25oC is 80%, what mass of water can still evaporate from an open pan?
(a) What is the temperature of the peak of a blackbody spectrum is at 18.0nm? (b) What is the wavelength at the peak of a blackbody spectrum if the body is at a temperature of 2000K?
Use the result of Example 28-6 to estimate the X-ray wavelength emitted when a Co (Z = 27) atom jumps from n = 2 to n = 1.
Check Corollary I by using the same function and boundary line as in Ex. 1.11, but integrating over the five sides of the cube in Fig. 1.35. The back of the cube is open. (iv) (i) 4 (v) (ii) 1 (iii)
Models of torpedoes are sometimes tested in a horizontal pipe of flowing water, much as a wind tunnel is used to test model airplanes. Consider a circular pipe of internal diameter 25.0 cm and a...
Figure shows a cross section of an infinite conducting sheet carrying a current per unit x length of ; the current emerges perpendicularly out of the page.? (a) Use the Biot-Savart law and symmetry...
Each vertical steel column of an office building supports 1.30 x 105 N and is compressed 5.90 x 103 cm. (a) Find the compression in each column if a weight of 5.50 x 105 N is supported. (b) If the...
Light traveling in a material of refractive index n, is incident at angle , with respect to the normal at the interface with a slab of material that has parallel faces and refractive index n2. After...
An electromagnetic standing wave in a certain material has frequency 1.20 x 1010 Hz and speed of propagation 210 x 108 m/s. (a) What is the distance between a nodal plane of B and the closest...
A freight train is moving at a constant speed of 10 m/s. A ma n standing on a flatcar throws a ball into the air and catches it as it falls. Relative to the flatcar, the initial velocity of the ball...
1. The final velocity of a truck is 74.0 ft/s. If it accelerates at a rate of 2.00 ft/s2 from an initial velocity of 5.00 ft/s, how long will it take for it to attain its final velocity? 2. A truck...
Find the Thevenin equivalent of the circuit in Fig. 10.103 as seen from: (a) Terminals a-b (b) Terminals c-d cd O a 2020 V
The ball is dropped from rest and falls a distance of 4 ft before striking the smooth plane at A. If it rebounds and in t = 0.5 s again strikes the plane at B, determine the coefficient of...
How much work is required to assemble eight identical point charges, each of magnitude q, at the corners of a cube of side s?
A laser beam (A = 632.8 nm) is incident on two slits 0.200 mm apart. How far apart are the bright interference fringes on a screen 5.00 m away from the double slits?
A uniform cylindrical steel wire, 55.0 cm long and 1.14 mm in diameter, is fixed at both ends. To what tension must it be adjusted so that, when vibrating in its first overtone, it produces the note...
To heat 1 cup of water (250 cm3) to make coffee, you place an electric heating element in the cup. As the water temperature increases from 20C to 65C, the temperature of the heating element remains...
Four very long, current carrying wires in the same plane intersect to form a square 40.0 cm on each side, as shown in Fig. Find the magnitude and direction of the current I so that the magnetic field...
The wings of tiger beetles (Figure) are colored by interference due to thin cuticle-like layers. In addition, these layers are arranged in patches that are 60m across and produce different colors....
A man stands on a frictionless platform that is rotating with an angular speed of 1.5 rev/s. His arms are outstretched, and he holds a heavy weight in each hand. The moment of inertia of the man, the...
1. Using 1/f = 1/so+1/st , so = 3.50 cm, and st = 7.25 cm, find f. 2. Using 1/f = 1/so+1/st , so = 8.50 cm, and f = 25.0 cm, find st 3. Using M = ht/ho = st/so, ho = 6.50 cm, st = 7.50 cm, and so =...
Two coils are close to each other. The first coil carries a time varying current given by I (t) = (5.00 A) e-0.025 0t sin (377t). At t = 0.800 s, the emf measured across the second coil is -3.20 V....
If you have ever taken a ride in an express elevator of a high-rise building, you may have experienced a nauseating sensation of heaviness or lightness depending on the direction of the acceleration....
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 60-kg block slides along the top of a 100-kg block with an acceleration of 3 m/s 2 when a horizontal force of 320 N is applied, as in figure. The 100-kg block sits on a horizontal frictionless...
Obtain Zin for the circuit in Fig. 9.67. 25 jl5 Zin
Gauss's Law for Gravitation The gravitational force between two point masses separated by a distance r is proportional to l/r2, just like the electric force between two point charges. Because of this...
An elementary particle produced in a laboratory experiment travels 0.230 mm through the lab at a relative speed of 0.960c before it decays (becomes another particle). (a) What is the proper lifetime...
A transparent cylinder of radius R = 2.00 m has a mirrored surface on its right half, as shown in Figure P35.67. A light ray traveling in air is incident on the left side of the cylinder. The...
Molecules Condensed Matter How many protons and how many neutrons are there in a nucleus of the most common isotope of (a) Silicon 2814Si; (b) Rubidium 8537Rb; (c) Thallium 20581?
A 1200 kg airplane is flying in a straight line at 80 m/s, 1.3 km above the ground. What is the magnitude of its angular momentum with respect to a point on the ground directly under the path of the...
A sample of gas is taken through cycle abca shown in the p-V diagram of Figure. The net work done is + 1.2J. Along path ab, the change in the internal energy is + 3.0 J and the magnitude of the work...
A glass window pane is exactly 20 cm by 30 cm at 10oC. By how much has its area increased when its temperature is 40oC, assuming that it can expand freely?
In Figure, ? = 100 V, R l = 10.0? R2 = 20.0?, R3 = 30.0?, and L = 2.00 H. Immediately after switch S is closed, what are(a) i1 and(b) i2? (Let currents in the indicated directions have positive...
A typical light dimmer used to dim the stage lights in a theater consists of a variable inductor L (whose inductance is adjustable between zero and L max) connected in series with a lightbulb B, as...
A bungee jumper with mass 65.0 kg jumps from a high bridge. After reaching his lowest point, he oscillates up and down, hitting a low point eight more times in 38.0s. he finally comes to rest 25.0m...
A three-way lightbulb can produce 50 W, 100 W, or 150 W, at 120 V. Such a bulb contains two filaments what can be connected to the 120V individually or in parallel. (a) Describe how the connections...
A 7.50-nF capacitor is charged op to 12.0 V, then disconnected from the power supply and connected in series through a coil. The period of oscillation of the circuit is then measured to be 8.60 X...
A beam of electrons is accelerated from rest through a potential difference of 0.100 kV and then passes through a thin slit the diffracted beam shows its first diffraction minima at 11.5 from the...
Figure shows a 300 kg cylinder that is horizontal. Three steel wires support the cylinder from a ceiling. Wires 1 and 3 are attached at the ends of the cylinder, and wire 2 is attached at the center....
Container A in Figure holds an ideal gas at a pressure of 5.0 x 105 Pa and a temperature of 300 K. It is connected by a thin tube (and a closed valve) to container B, with four times the volume of A....
Light of wavelength 600 nm is used to illuminate normally two glass plates 22 cm in length that touch at one end and are separated at the other end by a wire of radius 0.025 mm. How many bright...
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...
A Nuclear Reaction Fission, the process that supplies energy in nuclear power plants, occurs when a heavy nucleus is split into two medium-sized nuclei. One such reaction occurs when a neutron...