The spherical dome of a Van de Graaff generator can be raised to a maximum potential of 600 kV; then additional charge leaks off in sparks, by producing dielectric breakdown of the surrounding dry...

A solid, uniform cylinder with mass 8.25 kg and diameter IS.0 cm is spinning at 220 rpm on a thin, frictionless axle that passes along the cylinder axis. You design a simple friction brake to stop...

A 50-story building is being planned. It is to be 200.0m high with a base 40.0m by 70.0m. Its total mass will be about 1.8 X 107 kg and its weight therefore about 1.8 X 108 N suppose a 200-km/h wind...

Figure gives spring force Fx versus position x for the spring-block arrangement of Fig. 7 -11 The scale is set by F = 160.0 N. We release the block at x = 12 cm. How much work does the spring do on...

1. A bicycle wheel turns 25p rad during 45 s. Find the angular velocity of the wheel. 2. A lawn tractor tire turns at 65.0 rpm and has a radius of 13.0 cm. Find the linear speed of the tractor in...

A 6 12-in. plate is subjected to four loads as shown. Find the resultant of the four loads and the two points at which the line of action of the resultant intersects the edge of the plate. 50 lb 20...

A TS-Diagram (a) Graph a Carnot cycle, plotting Kelvin temperature vertically and entropy horizontally. This is called a temperature-entropy diagram, or TS-diagram. (b) Show that the area under any...

Confirm that the retarded potentials satisfy the Lorentz gauge condition. - C C -j. (Vr), V'.J= p -j. (V'r). V J J) V. ( - ). ) ^ - ^ , ^) + ( ^) = ( ) AA) A V.

In introductory physics laboratories, a typical Cavendish balance for measuring the gravitational constant G uses lead spheres with masses of 1.50 kg and 15.0 g whose centers are separated by about...

A bag of cement of weight Fg hangs from three wires as shown in Figure P5.18. Two of the wires make angles 1 and 2 with the horizontal. If the system is in equilibrium, show that the tension in the...

An object to the left of a lens is imaged by the lens on a screen 30.0 cm to the right of the lens. When the lens is moved 4.00 cm to the right the screen must be moved 4.00 cm to the left to refocus...

(a) From the expression for E obtained in Example 22.9 (Section 22.4), find the expression for the electric potential V as a function of r both inside and outside the uniformly charged sphere. Assume...

As shown in Fig. 34.61 the candle is at the center of curvature of the concave mirror, whose focal length is 10.0cm. The converging lens has a focal length of 32.0 cm and is 85.0 cm to the right of...

In a set of experiments on a hypothetical one-electron atom, you measure the wavelengths of the photons emitted from transitions ending in the ground state (n = I), as shown in the energy level...

(a) Show by direct substitution in the Schrodinger equation for the one-dimensional harmonic oscillator that the wave function 1 (x) = A1xe a2x2/2, where a2 = mw/h, is a solution with energy...

A block is projected up a frictionless inclined plane with initial speed v0: 3.50 m/s. The angle of incline is = 32.0o. (a) How far up the plane does the block go? (b) How long does it take to get...

In Figure horizontal scaffold 2, with uniform mass m2 = 30.0 kg and length L2 = 2.00 m, hangs from horizontal scaffold 1, with uniform mass m1 = 50.0 kg. A 20.0 kg box of nails lies on scaffold Z,...

It has been suggested that rotating cylinders about 10 mi in length and 5 mi in diameter be placed in space and used as colonies. The purpose of the rotation is to simulate gravity for the...

In the past, most experiments in particle physics involved stationary targets: one particle (usually a proton or an electron) was accelerated to a high energy E, and collided with a target particle...

The Millikan Oil-Drop Experiment The charge of an electron was first measured by the American physicist Robert Millikan during 1909-1913. In his experiment, oil is sprayed in very fine drops (around...

The string on a violin has a fundamental frequency of 440 Hz. The length of the vibrating portion is 32cm, and it has a mass of 0.35g. Under what tension the string must be placed?

(a) Suppose the potential is a constant V 0 over the surface of the sphere. Use the results of Ex. 3.6 and Ex. 3.7 to find the potential inside and outside the sphere. (Of course, you know the...

A lamp hangs vertically from a cord in a descending elevator that decelerates at 2.4 m/s2. (a) If the tension in the cord is 89 N what is the lamp's mass? (b) What is the cord's tension when the...

In Figure, a solid cylinder of radius 10 cm and mass 12 kg starts from rest and rolls without slipping a distance L = 6.0 m down a roof that is inclined at the angle = 30?. (a) What is the angular...

A goldfish in a spherical fish bowl of radius R is at the level of the center C of the bowl and at distance R=L from the glass (Figure). What magnification of the fish is produced by the water in the...

A 2.5 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 6.0 N and a vertical force P are then applied to the block (Figure). The coefficients of friction for...

In Figure, particle 1 of charge q 1 = 5.00 q and particle 2 of charge q 2 = + 2.00 q are fixed to an x axis, (a) As a multiple of distance L, at what coordinate on the axis is the net electric field...

Two capacitors, C1 = 5.00 F and C2 = 12.0 F, are connected in parallel, and the resulting combination is connected to a 9.00-V battery. (a) What is the equivalent capacitance of the combination? What...

A circular loop of wire 50 mm in radius carries a current of 100 A. Find the (i) Magnetic field strength and (ii) Energy density at the center of the loop.

A Thermodynamic Process in an Insect the African bombardier beetle Stenaptinus insignis can emit a jet of defensive spray from the movable tip of its abdomen (Fig. 19.32). The beetle's body has...

An LRC circuit has L = 14.8 mH and R =4.40 . (a) What value must C have to produce resonance at 3600 Hz? (b) What will be the maximum current at resonance if the peak external voltage is 150 V?

(a) Across which circuit element (coil or resistor) is the oscilloscope connected? How do you know this?(b) Find the inductance and the intemal resistance of the coil.(c) Carefully make a...

Determine Vo and Io in the circuit of Fig. 10.80 using mesh analysis. j4 4-30 A

A pulse moving along the x axis is described by y(x, t) = 5.00e - (x +5.00t) 2 where x is in meters and t is in seconds. Determine (a) The direction of the wave motion, and (b) The speed of the pulse.

Two speakers are driven by the same oscillator whose frequency is f. They are located a distance d from each other on a vertical pole. A man walks straight toward the lower speaker in a direction...

A pair of point charges, q = + 8.00µC and q' = - 5.00 µC, are moving as shown in Fig with speeds u = 9.00 X 104 m/s and u' = 6.50 X 104 m/s. When the charges are at the locations shown in...

Three long parallel wires are 3.9cm from one another. (Looking along them, they are at three corners of an equilateral triangle.) The current in each wire is 8.00A, but its direction in wire M is...

A friend speeds by you in her Ferrari spacecraft at a speed of 0.660c. It is measured in your frame to be 4.80m long and 1.25m high. (a) What will be its length and height at rest? (b) How many...

In the circuit shown in Fig. 30.27, ? = 60.0 V, R1 = 40.0 n, R2 = 25.0 ?, and L = 0.300 H. Switch S is closed at r = 0. Just after the switch is closed,(a) What is the potential difference vab across...

In a photoelectric-effect experiment, the maximum kinetic energy of the ejected photoelectrons is measured for various wavelengths of the incident light. Figure 38.35 shows a graph of this maximum...

In Figure particles 1 and 2 of charge q1 = q2 = +3.20 x 10-19 C are on a y axis at distance d = 17.0 cm from the origin. Particle 3 of charge q3 = + 6.40 x 10-19 C is moved gradually along the x axis...

As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g, where g = 9.80 m/s2.In their training, astronauts ride in a device where they experience such an...

A ball on the end of a string is whirled around in a horizontal circle of radius 0.300 m. The plane of the circle is 1.20 m above the ground. The string breaks and the ball lands 2.00 m...

There are (one can say) three coequal theories of motion: Newtons second law, stating that the total force on an object causes its acceleration; the workkinetic energy theorem, stating that the total...

A slit 0.360mm wide is illuminated by parallel rays of light that have a wavelength of 540nm. The diffraction pattern is observed on a screen that is 1.20 m from the alit. The intensity at the center...

Figure shows a hypothetical speed distribution for particles of a certain gas: P(v) = Cv2 for 0 < v < v0 and P(r) 0 for v > v0. Find (a) An expression for C in terms of v0, (b) The average speed of...

From the top of a tall building, a gun is fired. The bullet leaves the gun at a speed of 340 m/s, parallel to the ground. As the drawing shows, the bullet puts a hole in a window of another building...

(a) Derive an expression for the buoyant force on a spherical balloon, submerged in water, as a function of the depth below the surface, the volume of the balloon at the surface, the pressure at the...

Two identical, flat, circular coils of wire each have 100 turns and a radius of 0.500 m. The coils are arranged as a set of Helmholtz coils (see Fig. P30.55), parallel and with separation 0.500 m....

An inductor is connected to a 20.0-Hz power supply that produces a 50.0-V rms voltage. What inductance is needed to keep the instantaneous current in the circuit below 80.0 mA?

A monochromatic light source emits 100 W of electromagnetic power uniformly in all directions. (a) Calculate the average electric-field energy density 1.00 m from the source. (b) Calculate the...

Modern vacuum pumps make it easy to attain pressures of the order of 10-13 atm in the laboratory. (a) At a pressure of 9.00 X 10-14 atm and an ordinary temperature of 300.0 K, how many molecules are...

Find the Coriolis force on an automobile of mass 1300 kg driving north near Fairbanks, Alaska (latitude 65oN) at a speed of 100 km/h.

Figure gives an overhead view of the path taken by a 0.1-65 kg cue ball as it bounces from a rail of a pool table. The ball's initial speed is 2.00 m/s, and the angle ?1 is 30.0o. The bounce reverses...

A pressurized steel tank is constructed with a helical weld that makes an angle a = 55° with the longitudinal axis (see figure). The tank has radius r = 0.6 m, wall thickness t = 18 mm, and...

A fireworks rocket explodes at height h, the peak of its vertical trajectory. It throws out burning fragments in all directions, but all at the same speed v. Pellets of solidified metal fall to the...

If the restoring spring of a galvanometer weakens by 25% over the years, what current will give full-scale deflection if it originally required 36 A?

Three point charges are located as shown in Fig. 3.38, each a distance a from the origin. Find the approximate electric field at points far from the origin. Express your answer in spherical...

Dispersion in a window pane in Figure a beam of white light is incident at angle = 50? on a common window pane (shown in cross section) For the pane's type of glass, the index of refraction for...

A section of an electromagnet with a plate below it carrying a load is shown in figure. The electromagnet has a contact area of 200 cm2 per pole with the middle pole having a winding of 1000 turns...

If the magnitude of the drift velocity of free electrons in a copper wire is 7.84 x 10-4 m/s, what is the electric field in the conductor?

Consider the circuit shown in Fig. The terminal voltage of the 24.0-V battery is 21.2 V. What are? (a) The internal resistance r of the battery and (b) The resistance R of the circuit resistor?

An 80 kg man drops to a concrete patio from a window 0.50 m above the patio. He neglects to bend his knees on landing, taking 2.0 cm to stop. (a) What is his average acceleration from when his feet...

1. A volume of 1120 L of helium at 4000 Pa is heated from 45C to 77C increasing the pressure to 6000 Pa. What is the resulting volume of the gas? 2. In a 47-cm-tall cylinder of radius 7.0 cm,...

In the Atwood machine shown in Figure 5.14a, m1 = 2.00 kg and m2 = 7.00 kg. The masses of the pulley and string are negligible by comparison. The pulley turns without friction and the string does not...

Projectile Motion on an inline I, a baseball is given an initial velocity with magnitude Vo at an angle Φ above the surface of an incline, which is in turn inclined at an angle e above the...

T rex Model the leg of the T. rex in Example 13.10 (Section 13.6) as two uniform rods, each 1.55 m long, joined rigidly end to end. Let the lower rod have mass M and the upper rod mass 2M. The...

Oceans on Mars scientists have found evidence that Mars may once have had an ocean 0.500 km deep. The acceleration due to gravity on Mars is 3.71 mls'. (a) What would be the gauge pressure at the...

A shelf bracket is mounted on a vertical wall by a single screw, as shown in Figure P12.59. Neglecting the weight of the bracket, find the horizontal component of the force that the screw exerts on...

A large church has a niche in one wall. On the floor plan it appears as a semicircular indentation of radius 2.50 m. A worshiper stands on the center line of the niche, 2.00 m out from its deepest...

Crossing the River II (a) In which direction should the motorboat in Exercise 3.41 head in order to reach a point on the opposite bank directly east from the starting point? (The boat's speed...

What is the capacitance of two square parallel plates 5.5cm on a side that are separated by 1.8mm of paraffin?

Coherent light with wavelength 450nm falls on a double slit. On a screen 1.80 m away, the distance between dark fringes is 4.20 mm. What is the separation of the slits?

A light rigid rod is 77.0 cm long. Its top end is pivoted on a low-friction horizontal axle. The rod hangs straight down at rest with a small massive ball attached to its bottom end. You strike the...

A 70.0-kg diver steps off a 10.0-m tower and drops straight down into the water. If he comes to rest 5.00 m beneath the surface of the water, determine the average resistance force exerted by the...

A Fast Pitch the fastest measured pitched baseball left the pitcher's hand at a speed of 45.0 m/s. If the pitcher was in contact with the ball over a distance of 1.50 m and produced constant...

A uniform 8.40-kg, spherical shell SO.O cm m diameter has four small 2.00-kg masses attached to its outer surface and equally spaced around it. This combination is spinning about an axis running...

Figure shows a 70 kg climber hanging by only the crimp hold of one hand on the edge of a shallow horizontal ledge in a rock wall. (The fingers are pressed down to gain purchase.) Her feet touch the...

A beam of vertically polarized light encounters two polarizing filters, as shown in FIGURE 25-45. In Figure 25-45 (a) Rank the three cases, A, B, and C, in order of increasing transmitted intensity....

A particular heat engine has a useful power output of 5.00 kW and an efficiency of 25.0%. The engine expels 8 000 J of exhaust energy in each cycle. Find (a) The energy taken in during each cycle and...

Hearing rattles from a snake you make two rapid displacements of magnitude 1.8 m and 2.4 m. In sketches (roughly to scale), show how your two displacements might add up to give a resultant of...

A cat dozes on a stationary merry-go-round, at a radius of 5 .4 m from the center of the ride. Then the operator turns on the ride and brings it up to its proper turning rate of one complete rotation...

Consider the quenching process discussed in Problem 7.57. Suppose the oil bath volume is 0.1 m3 Neglect any heat loss to the surroundings and develop a dynamic model of the sphere's temperature and...

One strategy in a snowball fight is to throw a snowball at a high angle over level ground. While your opponent is watching the first one, a second snowball is thrown at a low angle timed to arrive...

(a) For the L-R-C circuit of Exercise 31.19, graph v, vR, vL, and vC versus t for t = 0 to t = 50.0 ms. The current is given byi = lcoswt, so V = Vcos(wt + ). (b) What are v, vR, vL,and vC at t =...

A moving rod is observed to have a length of 2.00 m and to be oriented at an angle of 30.0° with respect to the direction of motion, as shown in Figure P39.23. The rod has a speed of 0.995c. (a)...

The H2+ Ion. The H2+ ion is composed of two protons, each of charge +e = 1.60 X 10-19 C, and an electron of charge -e and mass 9.11 X 10-31 kg. The separation between the protons is 1.07 X 10-10 m....

Suppose that a deep shaft were drilled in Earth's crust near one of the poles, where the surface temperature is 40 o C, to a depth where the temperature is 800 o C. (a) What is the theoretical limit...

Figure ??a?? is a one-axis graph along which two of the allowed energy values (levels) of an atom are plotted. When the atom is placed in a magnetic field of 0.500 T, the graph changes to that of...

When a 0.80-kg crown is submerged in water, its apparent weight is measured to be 7.3 N. Is the crown pure gold?

A woman with mass 50 kg is standing on the rim of a large disk that is rotating at O.50rev/s about an axis through its center. The disk bas mass no kg and radius 4.0 m. calculate the magnitude of the...

A uniform meter stick supported at the 25-cm mark is in equilibrium when a 1-kg rock is suspended at the 0-cm end (as shown in Fig. 9-37). Is the mass of the meter stick greater than, equal to, or...

Figure shows a Gaussian surface in the shape of a cube with edge length 1.40 m. What are? (a) The net flux through the surface and (b) The net charge qenc enclosed by the surface if E = (3.00yj)...

A system consists of three particles, each of mass 5.00 g, located at the corners of an equilateral triangle with sides of 30.0 cm. (a) Calculate the potential energy of the system. (b) If the...

Eight point charges, each of magnitude q, are located on the corners of a cube of edge s, as shown in Figure P23.69. (a) Determine the x, y, and z components of the resultant force exerted by the...

A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is...

A passenger bus in Zurich, Switzerland, derived its motive power from the energy stored in a large flywheel. The wheel was brought up to speed periodically, when the bus stopped at a station, by an...

An elastic cord is 65 cm long when a weight of 75 N hangs from it but is 85 cm long when a weight of 180N hangs from it. What is the spring constant k of this elastic cord?

A point mass m slides without friction on a horizontal table at one end of a mass less spring of natural length a and spring constant k as shown in Figure 3-C. The spring is attached to the table so...

Consider a sinusoidal electromagnetic wave with fields E = Emax j sin (kx wt) and B = Bmax k sin (kx wt + Ф), with < Ф < . Show that if E and B are to satisfy Eqs. (32.12) and (32.14),...