Calculate the three currents I1, I 2, and I3 indicated in the circuit diagram shown in Fig. 5.00 1 ww 8.00 2 1.00 9:00 . 12:00 L00 10.00 1

In Figure, a 10 g bullet moving directly upward at 1000 m/s strikes and passes through the center of mass of a 5.0 kg block initially at rest. The bullet emerges from the block moving directly upward...

A capacitor with square plates of edge length L is being discharged by a current of 0.75 A. Figure is a head-on view of one of the plates from inside the capacitor. A dashed rectangular path is...

A submerged scuba diver Figure 16.39 Exercise 16.1.Hears the sound of a boat horn directly above her on the surface of the lake. At the same time, a friend on dry land 22.0 m from the boat also hears...

If a compressive force of 3.6 X 104 N is exerted on the end of a 22-cm-long bone of cross-sectional area 3.6 cm2, (a) Will the bone break, and (b) If not, by how much does it shorten?

(a) What mass of 235/92U was actually fissioned in the first atomic bomb, whose energy was the equivalent of about 20kilotons of TNT (1 kiloton of TNT releases 5 x 1012J)? (b) What was the actual...

The circuit in Figure consists of switch S, a 12.0 V ideal battery, a 20.0 M? resistor, and an air filled capacitor. The capacitor has parallel circular plates of radius 5.00 cm, separated by 3.00...

Two planets X and Y travel counterclockwise in circular orbits about a star as in Figure P13.18. The radii of their orbits are in the ratio 3:1. At some time, they are aligned as in Figure P13.18a,...

An insulating solid sphere of radius a has a uniform volume charge density and carries a total positive charge Q. A spherical Gaussian surface of radius r, which shares a common center with the...

Old photographic plates were made of glass with a light sensitive emulsion on the front surface. This emulsion was somewhat transparent. When a bright point source is focused on the front of the...

An electron undergoes a one-dimensional elastic collision with an initially stationary hydrogen atom. What percentage of the electron's initial kinetic energy is transferred to kinetic energy of the...

At a beach the light is generally partially polarized due to reflections off sand and water. At a particular beach on a particular day near sundown, the horizontal component of the electric field...

Heat Q flows into a monatomic ideal gas and the volume increases while the pressure is kept constant. What fraction of the heat energy is used to do the expansion work of the gas?

A plastic rod has been bent into a circle of radius R = 8.20 cm. It has a charge Q1 = + 4.20pC uniformly distributed along one-quarter of its circumference and a charge Q2 = ?? 6Q1, uniformly...

A block with mass m = 5.00 kg slides down a surface inclined 36.90 to the horizontal (Fig. 10.55). The coefficient of kinetic friction is 0.25. A string attached to the block is wrapped around a...

A small block with mass 0.250 kg is attached to a string passing through a hole in a frictionless, horizontal surface (see Fig. 10.48). The block is originally revolving in a circle with a radius of...

A parallel-plate air capacitor of capacitance 245 pF has a charge of magnitude 0.148 C on each plate. The plates are 0.328 mm apart. (a) What is the potential difference between the plates? (b) What...

In Figure, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 65.0 N. If m1 = 12.0kg, m2 = 24.0 kg, and m3 = 31.0 kg, calculate (a) The...

A sinusoidal wave travels along a string under tension. Figure gives the slopes along the string at time t = 0. The scale of the x axis is set by xs = 0.80 m. What is the amplitude of thewave? Slope...

A 15.0-kg block is dragged over a rough, horizontal surface by a 70.0-N force acting at 20.0 above the horizontal. The block is displaced 5.00 m, and the coefficient of kinetic friction is 0.300....

Underwater Photography an underwater camera has a lens of focal length 35.0mm and a maximum aperture of f/2.80. The film it uses has an emulsion that is sensitive to light of frequency 6.00 x 1014...

The terminal speed of a sky diver is 160 km/h in the spread-eagle position and 310 km/h in the nosedive position. Assuming that the diver's drag coefficient C does not change from one position to the...

A sinusoidal transverse wave of wavelength 20 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in Figure as a function of...

Two pulses A and B are moving in opposite directions along a taut string with a speed of 2.00 cm/s. The amplitude of A is twice the amplitude of B. The pulses are shown in Figure P18.2 at t = 0....

A parallel beam of light from a He-Ne laser, with a wavelength 656nm, falls on two very narrow slits 0.060mm apart. How far apart are the fringes in the center of the pattern on a screen 3.6m away?

Boxes are transported from one location to another in a warehouse by means of a conveyor belt that moves with a constant speed of 0.50 m/s. At a certain location the conveyor belt moves for 2.0 m up...

Figure shows two charged particles on an x axis; ?? q = ??3.20 x 10-19 C at x = ?? 3.00 m and q = 3.20 x 10-19 C at x = + 3.00m. What are the (a) Magnitude and (b) Direction (relative to the positive...

A light rigid rod 1.00 m in length joins two particles, with masses 4.00 kg and 3.00 kg, at its ends. The combination rotates in the xy plane about a pivot through the center of the rod (Fig....

A diffraction grating has 4 200 rulings/cm. On a screen 2.00 m from the grating, it is found that for a particular order m, the maxima corresponding to two closely spaced wavelengths of sodium (589.0...

A 75-W light source consumes 75 W of electrical power. Assume all this energy goes into emitted light of wavelength 600nm. (a) Calculate the frequency of the emitted light. (b) How many photons per...

(a) What is the uncertainty in the ball's horizontal momentum, in a direction perpendicular to that in which it is being thrown, if the student throwing the ball knows that it is located within a...

(a) Sketch carefully the chemical potential versus the number of particles for a boson gas in volume V at temperature , Include both classical and quantum regimes. (b) Do the same for a system of...

(a) Prove that a ray of light incident on the surface of a sheet of plate glass of thickness t emerges from the opposite face parallel to its initial direction but displaced sideways, as in Figure...

Approximately how many raindrops fall on a one-acre lot during a one-inch rainfall? Explain your reasoning.

(a) Can the reaction p + 7/3Li 4/2He + occur if the incident proton has kinetic energy = 2500keV? (b) If so, what is the total kinetic energy of the products?

Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center (Figure). Also assume we can position an apple anywhere along the tunnel or outside the...

Water falls over a dam of height h with a mass flow rate of R, in units of kg/s. (a) Show that the power available from the water is P = Rgh where g is the free-fall acceleration. (b) Each...

End A of the bar AB in Fig. 11.39 rests on a frictionless horizontal surface, and end B is hinged. A horizontal force F of magnitude 120 N is exerted on end A. You can ignore the weight of the bar....

A cylindrical air capacitor of length 15.0 m stores 3.20 X 10-9 J of energy when the potential difference between the two conductors is 4.00 V. (a) Calculate the magnitude of the charge on each...

A thin film of alcohol (n = 1.36) lies on a flat glass plate (n = 1.51). When monochromatic light, whose wave-length can be changed, is incident normally, the reflected light is a minimum for = 512nm...

(a) Use vector components to prove that two vectors commute for both addition and the scalar product. (b) Prove that two vectors anticommute for the vector product; that is, prove that A x B= -B x A.

A 0.40-kg ball is thrown with a speed of 12 m/s at an angle of 33o. (a) What is its speed at its highest point, and (b) How high does it go? (Use conservation of energy, and ignore air resistance.)

In Fig two isotropic point sources S1 and S2 emit identical light waves in phase at wavelength . The sources lie at separation d on an x axis, and a light detector is moved in a circle of large...

1. Find the period of a wave with frequency 355 kHz. 2. Find the frequency of a wave with period 0.320 s. 3. (a) What is the frequency of a light wave with wavelength 4.50 x 107 m and velocity 3.00 x...

A constant horizontal force F is applied to a lawn roller in the form of a uniform solid cylinder of radius R and mass M (Fig. P10.78). If the roller rolls without slipping on the horizontal surface,...

Ultrasound in Medicine. A 2.00-MHz sound wave travels through a pregnant woman's abdomen and is reflected from the fetal heart wall of her unborn baby. The heart wall is moving toward the sound...

A couple of magnitude M = 80 lbin. and the three forces shown are applied to an angle bracket. (a) Find the resultant of this system of forces. (b) Locate the points where the line of action of the...

A positive point charge Q1 = 2.5 X 10-5 C is fixed at the origin of coordinates, and a negative charge Q2 = 5.0 X 10-6C is fixed to the x axis at x = + 2.0m. Find the location of the place(s) along...

How hot is a metal being welded if it radiates most strongly at 440nm?

Consider Compton scattering of a photon by a moving electron. Before the collision the photon has wavelength ? and is moving in the +x-direction, and the electron is moving in the -x-direction with...

Frank D. Drake, an investigator in the SETI (Search for Extra-Terrestrial Intelligence) program, once said that the large radio telescope in Arecibo, Puerto Rico (Figure), "can detect a signal which...

A woman holds a 2.0-m-long uniform 10.0-kg pole as shown in Fig. 9-83. (a) Determine the forces she must exert with each hand (magnitude and direction). To what position should she move her left hand...

A block with mass M = 5.0kg rests on a frictionless table and is attached by a horizontal spring (k = 130 N/m) to a wall. A second block, of mass m = 1.25 kg, rests on top of M. The coefficient of...

A particle undergoes three successive displacements in a plane, as follows: d1, 4.00m southwest; then d2, 5.00m east; and finally d3, 6.00m in a direction 60.0o north of east. Choose a coordinate...

A 1.00-mol sample of a diatomic ideal gas has pressure P and volume V. When the gas is heated, its pressure triples and its volume doubles. This heating process includes two steps, the first at...

A 72.0-kg man stands on a spring scale in an elevator. Starting from rest, the elevator ascends, attaining its maximum speed of 1.20 m/s in 0.800 s. It travels with this constant speed for the next...

In putting, the force with which a golfer strikes a ball is planned so that the ball will stop within some small distance of the cup, say, 1.0m long or short, in case the putt is missed....

In Problem 59, the length of the string may be adjusted by moving the pulley. If the hanging mass m is fixed at 0.080 kg, how many different standing wave patterns may be achieved by varying L...

Neutrons are placed in a magnetic field with magnitude 2.30 T. (a) What is the energy difference between the states with the nuclear spin angular momentum components parallel and anti parallel to the...

An air column in a glass tube is open at one end and closed at the other by a movable piston. The air in the tube is warmed above room temperature, and a 384-Hz tuning fork is held at the open end....

An entertainer juggles balls while doing other activities. In one act, she throws a ball vertically upward, and while it is in the air, she runs to and from a table 5.50 m away at a constant speed of...

The electric field at a distance of 0.145 m from the surface of a solid insulating sphere with radius 0.355 m is 1750 N/C. (a) Assuming the sphere's charge is uniformly distributed, what is the...

The 19th-century inventor Nikola Tesla proposed to transmit electric power via sinusoidal electromagnetic waves. Suppose power is to be transmitted in a beam of cross-sectional area 100 m2. What...

Figure (a) shows charged particles 1 and 2 that are fixed in place on an x axis. Particle t has a charge with a magnitude of |q1| = 8.00e. Particle 3 of charge q3 = + 8.00e is initially on the x axis...

The front of her sleeper wet from teething, a baby rejoices in the day by crowing and bouncing up and down in her crib. Her mass is 12.5 kg, and the crib mattress can be modeled as a light spring...

A wheel has a constant angular acceleration of 3.0 rad/s2. During a certain 4.0 s interval, it turns through an angle of 120 rad, assuming that the wheel started from rest, how long has it been in...

In Figure current is set up through a truncated right circular cone of resistivity 731 ?? ?? m, left radius a = 2.00 mm, right radius b = 230 mm, and length L = 1.94 cm. Assume that the current...

Redo Example 3.10 using the Hazen-Williams equation and assuming that CHW = 100 for all the pipes. Example 3.10 Pipes AB and CF in Figure 3.20 have a diameter of 4 ft, possess a Darcy-Weisbach...

A shaving/makeup mirror is designed to magnify your face be a factor of 1.33 when your face is placed 20.0 cm in front of it. (a) What type of mirror is it? (b) Describe the type of image that it...

You drop a 2.00 kg book to a friend who stands on the ground at distance D = 10.0 m below. If your friend's outstretched hands are at distance d = 1.50m above the ground (Figure), (a) How much work...

A rectangular building lot is 100 ft by 150 ft. determine the area of this lot in m2.

A 5.00-kg steel ball is dropped onto a copper plate from a height of 10.0 m. If the ball leaves a dent 3.20 mm deep, what is the average force exerted by the plate on the ball during the impact?

One of the weapons being considered for the Star Wars antimissile system is a laser that could destroy ballistic missiles. When a high-power laser is used in the Earths atmosphere, the electric field...

Three parallel wires each carry current I in the directions shown in Fig. If the separation between adjacent wires is d, calculate the magnitude and direction of the net magnetic force per unit...

Calculate the centripetal acceleration of the Earth in its orbit around the Sun, and the net force exerted on the Earth. What exerts this force on the Earth? Assume that the Earths orbit is a circle...

A roller coaster reaches the top of the steepest hill with a speed of 6.0 km/h. It then descends the hill, which is at an average angle of 45o and is 45.0m long. Estimate its speed when it reaches...

A persons left eye is corrected by a -3.50-diopter lens, 2.0 cm from the eye. (a) Is this persons left eye near- or farsighted? (b) What is this eyes far point without glasses?

A 1.00-kg block of copper at 20.0C is dropped into a large vessel of liquid nitrogen at 77.3 K. How many kilograms of nitrogen boil away by the time the copper reaches 77.3 K? (The specific heat of...

A solid cube of silver (density = 10.5 g/cm3) has a mass of 90.0 g. (a) What is the resistance between opposite faces of the cube? (b) Assume each silver atom contributes one conduction electron....

A circuit consists of a series combination of 6.00-k and S.00-k resistors connected across a 50.0-V battery having negligible internal resistance. You want to measure the true potential difference...

Express the following quantities using the prefixes given in Table 1.4: (a) 3 X 104 m (b) 5 X 105 s (c) 72 X 102 g

A runner hopes to complete the 10,000-m run in less than 30.0 min. After exactly 27.0 min, there are still 1100 m to go. The runner must then accelerate at 0.20m/s2 for how many seconds in order to...

A single-turn current loop, carrying a current of 4.00 A, is in the shape of a right triangle with sides 50.0, 120, and 130 cm. The loop is in a uniform magnetic field of magnitude 75.0mT whose...

A manufacturer produces a ferrite material with = 750o, = 5o, and = 106 S/m at 10 MHz. (a) Would you classify the material as lossless, lossy, or conducting? (b) Calculate and . (c) Determine the...

A sinusoidal sound wave is described by the displacement wave function s(x, t) = (2.00 m) cos[(15.7 m-1)x - (858 s-1)t] (a) Find the amplitude, wavelength, and speed of this wave. (b) Determine the...

Hooke's Law for a Wire A wire of length 10 and cross-sectional Area A supports a hanging weight W. (a) Show that if the wire obeys Equation (11.7), it behaves like a spring of force constant AY/lo,...

A hollow copper tube carries a current along its length. Why is B = 0 inside the tube? Is B nonzero outside the tube?

(i). At what angular frequency is the voltage amplitude across the resistor in an L-R-C series circuit at maximum value? (ii). At what angular frequency is the voltage amplitude across the inductor...

A uniform thin film of material of refractive index 1.40 coats a glass plate of refractive index 1.55. This film has the proper thickness to cancel normally incident light of wavelength 525 nm that...

A satellite of mass 200 kg is placed in Earth orbit at a height of 200 km above the surface. (a) With a circular orbit, how long does the satellite take to complete one orbit? (b) What is the...

A non-uniform electric field is given by the expression E = ayi + bzj + cxk, where a, b, and c are constants. Determine the electric flux through a rectangular surface in the xy plane, extending from...

By measurement you determine that sound waves are spreading out equally in all directions from a point source and that the intensity is 0.026 W 1m2 at a distance of 4.3 m from the source. (a) What is...

Magnetic fields are very useful in particle accelerators for beam steering: that is, the magnetic field can be used to changes the beams direction without altering its speed (Fig. 20-69). Show how...

In Alahmadi During a cold winter day, wind at 55 km/h is blowing parallel to a 4-m-high and 10-m-long wall of a house. If the air outside is at 5°C and the surface temperature of the wall is...

As it plows a parking lot, a snowplow pushes an ever-growing pile of snow in front of it. Suppose a car moving through the air is similarly modeled as a cylinder pushing a growing plug of air in...

You are driving home from school steadily at 95 km/h fro 130 km. It then begins to rain and you slow to 65 km/h. You arrive home after driving 3 hours and 20 minutes. (a) How far is your hometown...

A particle moves in an elliptical orbit in an inverse-square-law central-force field. If the ratio of the maximum angular velocity to the minimum angular velocity of the particle in its orbit is n,...

A circular loop of wire is in a region of spatially uniform magnetic field, as shown in Fig. 29.31. The magnetic field is directed into the plane of the figure. Determine the direction (clockwise or...

Diatomic chain Consider the normal modes of a linear chain in which the force constants between nearest-neighbor atoms are alternately C and 10C. Let the masses he equal, and let the nearest-neighbor...

A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-30 m/s)i and a second piece, also of mass...