An asteroid with a diameter of l0 km and a mass of 2.60 X 1015 kg impacts the earth at a speed of 32.0 km/s, landing in the Pacific Ocean. If 1.00% of the asteroid's kinetic energy goes to boiling...

On July 10, 1996, a granite block broke away from a wall in Yosemite Valley and, as it began to slide down the wall, was launched into projectile motion. Seismic waves produced by its impact with the...

In Figure, a beam of unpolarized light, with intensity 43 W/m2, is sent into a system of two polarizing sheets with polarizing directions at angles 1 =70? and 2 = 90? to the y axis. What is the...

An auto transmission of mass 165 kg is located 1.00 m from one end of a 2.50-m bench. What weight must each end of the bench support?

A 5.00-m, 0.732-kg wire is used to suppose two uniform 235-N posts of equal length (Fig. 15.37). Assume that the wire is essentially horizontal and that the speed of sound is 344 m/s. A strong wind...

Calculate the magnitude of the drag force on a missile 53 cm in diameter cruising at 250 m/s at low altitude, where the density of air is 1.2 kg/m 3 . Assume C = 0.75.

A cylindrical copper rod of length 1.50 m and radius 2.00 cm is insulated to prevent heat loss through its curved surface. One end is attached to a thermal reservoir fixed at 300oC; the other is...

A rectangular loop of N closely packed turns is positioned near a long straight wire as shown in Figure. What is the mutual inductance M for the loop-wire combination if N = 100, a = 1.0cm, b = 8.0...

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...

Two traveling sinusoidal waves are described by the wave functions y1 = (5.00 m) sin [ (4.00x 1 200t)] And y2 = (5.00 m) sin [ (4.00x 1 200t 0.250)] Where x, y1, and y2 are in meters and t is in...

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...

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...

Use the rules for multiplication and division of measurements to find the value of each of the following. 1. (18 ft) (290 lb)/4.6 s 2. (18.5 kg) (4.65 m)/19.5 s 3. 4500 mi/12.3 h 4. 48.9 kg (1.5 m)...

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...

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...

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...

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?

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...

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...

(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...

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 5.0-m-long rod is stretched 0.10 m by a force. What is the strain in the rod?

The index of refraction of crown glass is 1.515 for red light and 1.523 for blue light. (a) If light of both colors is incident on crown glass from air, the blue color will be refracted (1) more, (2)...

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...

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....

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...

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...

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...

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) 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...

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...

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 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...

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) 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...

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 =...

A triangular highway gutter (Figure P6.2.7) is designed to carry a discharge of 52 m3/min on a channel slope of 0.0016. The gutter is 0.8 m deep with one side vertical and one side sloped at m: I (H:...

A carpenter on the roof of a building accidentally drops her hammer. As the hammer falls it passes two windows of equal height, as shown in FIGURE 2-39. (a) Is the increase in speed of the hammer as...

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...

Express the sine of 30.0o with the correct number of significant figures.

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?

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 =...

(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...

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 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...

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 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...

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...

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...

Find the center of mass of a hemispherical shell of constant density and inner radius r1 and outer radius r2.

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 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...

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...

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 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...

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...

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...

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...

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...

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 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 =...

(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 Figure, blocks A and B have weights of 44 N and 22 N, respectively.? (a) Determine the minimum weight of block C to keep A from sliding if ? s between A and the table is 0.20.? (b) Block C...

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...

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,...

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 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...

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...

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...

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...

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?

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 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...

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 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...

Space pilot Mavis zips past Stanley at a constant speed relative to him of O.800e. Mavis and Stanley start timers at zero when the front of Mavis's ship is directly above Stanley. When Mavis reads...

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)...

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...

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...

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...

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...

In Figure two long straight wires at separation d = 16.0 cm carry currents i1 = 3.61 mA and i2 = 3.00i1 out of the page. (a) At what point on the x axis shown is the net magnetic field due to the...

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.

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...

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.

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 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...

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...

Only two forces act on an object (mass = 4.00 kg), as in the drawing. Find the magnitude and direction (relative to the x-axis) of the acceleration of theobject. 60.0 N +1 40.0 N