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...

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...

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)...

What is the acceleration experienced by the tip of the 1.5-cm-long sweep second hand on your wrist watch?

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...

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...

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...

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...

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...

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.

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).

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...

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 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 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...

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...

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...

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.

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

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...

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 bucket of water is set spinning about its symmetry axis. Determine the shape of the water in the bucket.

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...

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...

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...

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)...

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...

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).

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...

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 =...

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?

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...

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...

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...

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...

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...

Find the center of mass of a uniformly solid cone of base diameter 2a and height h.

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...

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...

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...

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.

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,...

Triplet excited states some organic molecules have a triplet (S = 1) excited state at an energy k B above a singlet (S = 0) ground state. (a) Find an expression for the magnetic moment () in a field...

(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...

Solve for the axial displacement and stress in the tapered bar shown in Figure P3-12 using one and then two constant-area elements. Evaluate the area at the center of each element length. Use that...

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...

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...

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?

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...

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

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...

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...

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.

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...

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...

Marshall pushes crates starting from rest across the floor of his classroom for 3 S with a net force as shown. For each crate, rank the following from greatest to least. a. Impulse delivered b....

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 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?

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.

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.

(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?

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...

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)

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...

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....

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.

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....

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...

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...

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...

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...

A structural member 100 mm (4 in.) long must be able to support a load of 50,000 N (11,250 lbf) without experiencing any plastic deformation. Given the following data for brass, steel, aluminum, and...

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...

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...

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...

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...

Two point charges, Q1 = - 25μC and Q2 = + 50μC, are separated by a distance of 12cm. The electric field at the point P (See Fig. 16-55) is zero. How far from Q1 is P? 12 cm -25 Q2 P. +50

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...

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 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...

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...

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?

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.

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...

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 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...

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...

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...

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 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...