You propose a new temperature scale with temperatures given in oM. You define 0.0oM to be the normal melting point of mercury and 100.0o to be the normal boiling point of mercury. (a) What is the...
Use Coulombs law to determine the magnitude and direction of the electric field at points A and B in Fig. 16-57 due to the two positive charges (Q = 7.0μC) shown. Are your results consistent with...
You sight along the rim of a glass with vertical sides so that the top rim is lined up with the opposite edge of the bottom (Fig. 33.48a). The glass is a thin-walled, hollow cylinder 16.0cm high with...
An L-C circuit containing an 80.0-mH inductor and a 1.25-nF capacitor oscillates with a maximum current of 0.750 A. Calculate: (a) The maximum charge on the capacitor and (b) The oscillation...
How many joules of heat need to be removed from 1.25 kg of steam at 115C to condense it to water and cool the water to 50C?
A propped cantilever beam of length 2L with support at B is loaded by a uniformly distributed load with intensity q. Use the method of superposition to solve for all reactions. Also draw shear-force...
An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in...
An object of mass m1 specific heat capacity C1 and temperature T1 is placed in contact with a second object of mass m2, specific heat capacity C2, and temperature T2 > T1 . As a result, the...
(a) Compute the charge on the capacitor just before the switch is thrown from position 2 back to position 1. (b) Compute the voltage drops across the resistor and across the capacitor at the instant...
In Figure a chain is held on a frictionless table with one-fourth of its length hanging over the edge. If the chain has length L = 28 cm and mass m = 0.012 kg, how much work is required to pull the...
A rotating fan completes 1200 revolutions every minute. Consider the tip of a blade, at a radius of 0.15m. (a) Through what distance does the tip move in one revolution? What are? (b) The tip's speed...
A car travels at 120 km/hr. If the earth's magnetic field is 4.3 X 105 Wb/m2, find the induced voltage in the car bumper of length 1.6 m. Assume that the angle between the earth magnetic field and...
An archer shoots an arrow toward a target that is sliding toward her with a speed of 2.50 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of 35.0 m/s and passes through the...
A long cylindrical conductor of radius a has two cylindrical cavities of diameter a through its entire length, as shown in Figure P30.73. A current I is directed out of the page and is uniform...
After how many time constants does the current in Fig 21-33 reach within? (a) 10%, (b) 1.0%, (c) 0.1% of its maximum value?
To get an idea how big a farad is, suppose you want to make a 1-F air-filled parallel-plate capacitor for a circuit you are building. To make it a reasonable size, suppose you limit the plate area to...
White light strikes? (a) A diffraction grating, and (b) A Prism, A rainbow appears on a wall just below the direction of the horizontal incident beam in each case. What is the color of the top of the...
A simple harmonic oscillator consists of a block of mass 2.00 kg attached to a spring of spring constant 100 N/m. When t = 1.00 s, the position and velocity of the block are x = 0.129 m and v = 3.415...
When you cough, you expel air at high speed through the trachea and upper bronchi so that the air will remove excess mucus lining the pathway. You produce the high speed by this procedure: You...
The magnitude of the electrostatic force between two identical ions that are separated by u distance of 5.0 x 1010 m is 3.7 x 109 N. (a) What is the charge of each ion? (b) How many electrons are...
A coil C of N turns is placed around a long solenoid S of radius R and n turns per unit length, as in Figure. (a) Show that the mutual inductance for the coil-solenoid combination is given by M =...
Fig. 13.27a shows a snapshot of a wave traveling on a rope, and Fig. 13.27b describes the position as a function of time of a point on the rope. (a) What is the amplitude of the traveling wave? (b)...
Opening champagne In a bottle of champagne, the pocket of gas (primarily carbon dioxide) between the liquid and the cork is at pressure of pi = 5.00 atm. When the cork is pulled from the bottle, the...
Two capacitors, C1 = 25.0 F and C2 = 5.00F, are connected in parallel and charged with a 100-V power supply. (a) Draw a circuit diagram and calculate the total energy stored in the two capacitors....
(a) How much charge does a battery have to supply to a 5.0-F capacitor to create a potential difference of 1.5 V across its plates? How much energy is stored in the capacitor in this case? (b) How...
The negative pion (-) is an unstable particle with an average lifetime of 2.60 x 10-8 s (measured in the rest frame of the pion). (a) If the pion is made to travel at very high speed relative to a...
Figure gives the lateral magnification m of an object versus the object distance p from a lens as the object is moved along the central axis of the lens through a range of values f or p out to ps =...
What is the sound intensity level in a car when the sound intensity is 0.500 w/m2? What is the sound intensity level in the air near a jackhammer when the pressure amplitude of the sound is 0.150 Pa...
A Galilean telescope adjusted for a relaxed eye is 32.8 cm long. If the objective lens has a focal length of 36.0 cm, what is the magnification?
Oasis B is 25 km due east of oasis A. Starting from oasis A, a camel walks 24km in a direction 15o south of east and then walks 8.0 km due north. How far from oasis B?
A pulse traveling along a string of linear mass density is described by the wave function y = [A0ebx] sin (kx wt) Where the factor in brackets before the sine function is said to be the amplitude (a)...
(a) Derive an expression for d as a function of L, the inductance corresponding tu a certain fluidheight, Lo, L1 and D.(c) Repeat part (b) for mercury. The magnetic susceptibility of mercury is given...
A 5.0-m-long rod is stretched 0.10 m by a force. What is the strain in the rod?
A 2.00-L container has a center partition that divides it into two equal parts, as shown in Figure P22.46. The left side contains H2 gas, and the right side contains O2 gas. Both gases are at room...
Express the sine of 30.0o with the correct number of significant figures.
A block of mass M, supported by a string, rests on an incline making an angle θ with the horizontal (Fig. P16.52). The length of the string is L, and its mass is m m, L Figure P16.52
Gravity inside the Earth finds the gravitational force that the earth exerts on a 10.0-kg mass if it is placed at the following locations. Consult Fig. 12.9, and assume a constant density through...
A Radio 'l\ming Circuit. The minimum capacitance of a variable capacitor in a radio is 4.18 pF. (a) What is the inductance of a coil connected ro this capacitor if the oscillation frequency of the...
In Figure, light initially in material 1 refracts into material 2, crosses that material, and is then incident at the critical angle on the interface between materials 2 and 3. The indexes of...
Given the vectors A = 2.00i + 6.00j and B = 3.00i 2.00j, (a) draw the vector sum C = A + B and the vector difference D = A B. (b) Calculate C and D, first in terms of unit vectors and then in terms...
A 3-kg particle starts from rest at x = 0 and moves under the influence of a single force F x = 6 + 4x 3x 2 where F x is in Newtons and x is in meters. (a) Find the work done by the force as the...
A shallow glass dish is 4.00 cm wide at the bottom, as shown in Figure P35.63. When an observers eye is placed as shown, the observer sees the edge of the bottom of the empty dish. When this dish is...
In a spring gun, a spring of force constant 400 N/m is compressed 0.15 m. When fired, 80.0% of the elastic potential energy stored in the spring is eventually converted into the kinetic energy of a...
A vertical, solid steel post 25 cm in diameter and 2.50 m long is required to support a load of 8000 kg. You can ignore the weight of the post. What are? (a) The stress in the post; (b) The strain in...
A 10.00kg mass is traveling to the right with a speed of 2.00 m/s on a smooth horizontal surface when it collides with and sticks to a second 1O.00kg mass that is initially at rest but is attached to...
(a) What is the fraction of the hydrogen atoms mass that is in the nucleus? (b) What is the fraction of the hydrogen atoms volume that is occupied by the nucleus?
In an L-C circuit, L = 85.0 mH and C = 3.20 ",F. During the oscillations the maximum current in the inductor is 0.850 mA. (a) What is the maximum charge on the capaciror? (b) What is the magnitude of...
A steel bar 8.0 ft long has a circular cross section of diameter d1 = 0.75 in. over one-half of its length and diameter d2 = 0.5 in. over the other half (see figure). The modulus of elasticity E = 30...
In Fig, C1 = C5 = 8.4µF and C2 = C3 = C6 = 4.2µF. The applied potential is Vab = 220 V. (a) What is the equivalent capacitance of the network between points a and b? (b) Calculate the...
A 100-W lightbulb has a resistance of about 12 when cold (20oC) and 140 when on (hot). Estimate the temperature of the filament when hot assuming an average temperature coefficient of resistivity a =...
In an oscillating series RLC circuit, show that U/U, the fraction of the energy lost per cycle of oscillation, is given to a close approximation by 2R/w L The quantity w L/R is often called the Q of...
As a result of friction, the angular speed of a wheel changes with time according to where 0 and / are constants. The angular speed changes from 3.50 rad/s at t = 0 to 2.00 rad/s at t = 9.30 s. Use...
Suppose that a steel hoop could be constructed to fit just around the earth's equator at a temperature of 20.0oC. What would be the thickness of space between the hoop and the earth if the...
As an astronaut, you observe a small planet to be spherical. After landing on the planet, you set off, walking always straight ahead, and find yourself returning to your spacecraft from the opposite...
An ideal gas is taken Figure from a to b on the pV-diagram shown in Fig. 19.22. During This process, 400 J of heat is added and the pressure doubles. (a) How much work is done by or on the gas?...
A Hat sheet of paper of area 0.250 m2 is oriented so that the normal to the sheet is at an angle of 60 to 8 uniform electric field of magnitude 14 N/C. (a) Find the magnitude of the electric flux...
Consider 5.00 mol of liquid water. (a) What volume is occupied by this amount of water? The molar mass of water is 18.0 g/mol (b) Imagine the molecules to be, on average, uniformly spaced, with each...
Two waves traveling along a stretched string have the same frequency, but one transports three times the power of the other. What is the ratio of the amplitudes of the two waves?
An unstable particle is created in the upper atmosphere from a cosmic ray and travels straight down toward the surface of the earth with a speed of 0.99540c relative to the earth. A scientist at rest...
Cerenkov radiation the Russian physicist P A Cerenkov discovered that a charged particle traveling in a solid with a speed exceeding the speed of light in that material radiates electromagnetic...
Determination of the density of a fluid has many important applications. A car battery contains sulfuric acid, for which density is a measure of concentration. For the battery to function properly,...
A compass needle points 230 E of N outdoors. However, when it is placed 12.0cm to the east of a vertical wire inside a building, it points 550 E of N. what are the magnitude and direction of the...
Find the center of mass of a hemispherical shell of constant density and inner radius r1 and outer radius r2.
(a) A long metal pipe of square cross-section (side a) is grounded on three sides, while the fourth (which is insulated from the rest) is maintained at constant potential V0. Find the net charge per...
An iceboat is at rest on a frictionless frozen lake when a sudden wind exerts a constant force of 200 N, toward the east, on the boat. Due to the angle of the sail, the wind causes the boat to slide...
A satellite orbits a planet of unknown mass in a circle of radius 2.0 x l07 m. The magnitude of the gravitational force on the satellite from the planet is F = 80 N. (a) What is the kinetic energy of...
An electron moves in a circle of radius r = 5.29 x 10-11 m with speed 2.19 x 106 m/s. Treat the circular path as a current loop with a constant current equal to the ratio of the electron's charge...
An ideal gas is taken through a Carnot cycle. The isothermal expansion occurs at 250C, and the isothermal compression takes place at 50.0C. The gas takes in 1 200 J of energy from the hot reservoir...
A rod of length L (Fig P25.43) lies along the x axis with its left end at the origin. It has a non-uniform charge density 1 = 5x, where 5 is a positive constant. (a) What are the units of 5? (b)...
Free-Body Diagrams the first two steps in the solution of Newton's second-law problems are to select an object for analysis and then to draw free-body diagrams for that object. Draw free-body...
An unmanned spacecraft is it a circular orbit around the moon, observing the lunar surface from an altitude of 50.0 k/n (see Appendix F). To the dismay of scientists on earth, an electrical fault...
List several similarities and differences between electric and magnetic forces.
A large cube of glass has a metal reflector on one face and water on an adjoining face (Fig. 33.52). A light beam strikes the reflector, as shown. You observe that as you gradually increase the angle...
A pendulum is formed by pivoting a long thin rod about a point on the rod. In a series of experiments, the period is measured as a function of the distance x between the pivot point and the rod's...
A certain sprinter has a top speed of 11.0 m/s. If the sprinter starts from rest and accelerates at a constant rate, he is able to reach his top speed in a distance of 12.0 m. He is then able to...
Suppose the 2.0-kg model car in Exercise 6.37 is initially at rest at x = 0 and F is the net force acting on it. Use the work-energy theorem to find the speed of the car at (a) x = 3.0 m; (b) x =...
A zoom lens system is a combination of lenses that produces a variable magnification while maintaining fixed object and image positions. The magnification is varied by moving one or more lenses along...
Stopping Distance (a) If the coefficient of kinetic friction between tires and dry pavement is 0.80, what is the shortest distance in which you can stop an automobile by locking the brakes when...
A vertical spring (ignore its mass). Whose spring stiffness constant is 950 N/m. (a) What upward speed can it give to a 0.30-kg ball when released? (b) How high above its original position (spring...
The true weight of an object can be measured in a vacuum, where buoyant forces are absent. An object of volume V is weighed in air on a balance with the use of weights of density P. If the density of...
Three-Dimensional Anisotropic Harmonic Oscillator An oscillator bas the potential-energy function U(x. y. z) = k1(x2 + y2) + k2 z2 where k1 > k2. This oscillator is called anisotropic because the...
A satellite is put in a circular orbit about Earth with a radius equal to one-half the radius of the Moon's orbit. What is its period of revolution in lunar months? (A lunar month is the period of...
The thin plastic rod of length L = 10.0 cm in Figure has a non-uniform linear charge density = cx, where c = 49.9pC/m2. (a) With V = 0 at infinity find the electric potential at point P2 on the y...
Angle for Minimum Force. A box with weight w is pulled at constant speed along a level floor by a force F that is at an angle 6 above the h0ri2ontal. The coefficient of kinetic friction between the...
The sun radiates energy at a rate of about 4 X 1026W. (a) At what rate is the suns mass decreasing? (b) How long does it take for the sun to lose a mass equal to that of earth? (c) Estimate how long...
A solid sphere of mass M and radius R rotates freely in space with an angular velocity w about a fixed diameter. A particle of mass m, initially at one pole, moves with a constant velocity v along a...
Three charged particles form a triangle: particle 1 with charge Q1 = 80.0nC is at xy coordinates (0, 3.00 mm), particle 2 with charge Q2 is at (0, -3.00mm), and particle 3 with charge q = 18.0nC is...
A conducting circular loop of radius 20 cm lies in the z = 0 plane in a magnetic field B = 10cos 377 t az mWb/m2. Calculate the induced voltage in the loop.
A closely wound, circular coil with a diameter of 4.00 cm has 600 turns and carries a current of 0.500 A. What is the magnitude of the magnetic field? (a) At the center of the coil and (b) At a point...
A water droplet falling in the atmosphere is spherical. Assume that as the droplet passes through a cloud, it acquires mass at a rate equal to kA where k is a constant (>0) and A its cross-sectional...
In Figure, three uniform thin rods, each of length L = 22cm, form an inverted U. The vertical rods each have a mass of 14g; the horizontal rod has a mass of 42g. What are?(a) The x coordinate and(b)...
There are two equations from which a change it the gravitational potential energy U of the system of a mass m and the earth can be calculated. One is U = may (Eq. 7.2). The other is U = - GmEm/ r...
On your first day at work as an electrical technician, you are asked to determine the resistance per meter of a long piece of wire. The company you work for is poorly equipped. You find a battery, a...
A sailor strikes the side of his ship just below the waterline. He hears the echo of the sound reflected from the ocean floor directly below 2.5s later. How deep is the ocean at this point? Assume...
Determine the binding energy of the last neutron in a 40/19K nucleus.
Consider two vibrations of equal amplitude and frequency but differing in phase, one along the x-axis, x = a sin (wt - a) and the other along the y-axis, y = a sin (wt - ?) These can be written as...
An astronaut in orbit can just resolve two point sources on the earth that are 75.0 m apart. Assume that the resolution is diffraction limited, and use Rayleigh's criterion. What is the astronaut's...
Find the longest and shortest wavelengths in the Lyman and Paschen series for hydrogen. In what region of the electromagnetic spectrum does each series lie?
A cargo plane is flying horizontally at an altitude of 12 km with a speed of 900 km/h when a battle tank falls out of the rear loading ramp. (a) How long does it take the tank to hit the ground? (b)...
A hand pump is used to inflate a bicycle tire to a gauge pressure of 482 kPa (about 70 lb/in2). How much work must be done if each stroke of the pump is an adiabatic process? Atmospheric pressure is...