Determine the escape speed for a rocket on the far side of Ganymede, the largest of Jupiters moons (Figure P13.41). The radius of Ganymede is 2.64 X 106 m, and its mass is 1.495 X 1023 kg. The mass...
A common demonstration, illustrated in Figure P10.72, consists of a ball resting at one end of a uniform board of length l, hinged at the other end, and elevated at an angle θ. A light cup is...
An electron is released from rest on the axis of a uniform positively charged ring, 0.100 m from the rings center. If the linear charge density of the ring is +0.100 C/m and the radius of the ring is...
At a classic auto show, a 840-kg 1955 Nash Metropolitan motors by at 9.0 m}s, followed by a 162G-kg 1957 Packard Clipper purring past at 5.0 m/s. (a) Which car has the greater kinetic energy? What is...
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 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...
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...
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...
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...
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...
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...
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...
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)...
(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...
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?
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...
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 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...
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 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...
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...
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....
Express the sine of 30.0o with the correct number of significant figures.
(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 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
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...
A 5.0-m-long rod is stretched 0.10 m by a force. What is the strain in the rod?
An ideal monatomic gas is taken through the cycle in the PV diagram. (a) If there are 0.0200 mol of this gas, what are the temperature and pressure at point C? (b) What is the change in internal...
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...
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...
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...
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...
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?
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 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 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...
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...
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?...
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...
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...
Find the center of mass of a hemispherical shell of constant density and inner radius r1 and outer radius r2.
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...
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 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...
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...
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...
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...
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 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...
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...
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...
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...
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 =...
List several similarities and differences between electric and magnetic forces.
(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...
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...
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...
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...
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 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...
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 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...
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)...
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...
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?
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 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...
Find the current in the 4.00- resistor in the drawing. Specify the direction of thecurrent. 2.00 8.00 6.00 V 3.00 V 9.00 v 4.00
At the Earths surface a projectile is launched straight up at a speed of 10.0 km/s. To what height will it rise? Ignore air resistance and the rotation of the Earth.