Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities σ1, σ2, σ3, and σ4 on their surfaces. As shown in. 22.34.These surface charge...
Chinook during certain seasons strong winds called Chinooks blow from the west across the eastern slopes of the Rockies and downhill into Denver and nearby areas. Although the mountains are cool. The...
An Ionic Crystal Figure shows eight point charges arranged at the corners of a cube with sides of length d. The values of the charges are +q and -q, as shown. This is a model of one cell of a cubic...
An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Fig. 5.42). The rope...
A uniform aluminum beam 9.00 m long, weighing 300 N, rests symmetrically on two supports 5.00 m apart (Fig. 1I.25). A boy weighing 600 N starts at point A and walks toward the right. (a) In the same...
A storage tank at STP contains 18.5 kg of nitrogen (N2). (a) What is the volume of the tank? (b) What is the pressure if an additional 15.0kg of nitrogen is added without changing the temperature?
A plumb bob (a mass m hanging on a string) is deflected from the vertical by an angle due to a massive mountain nearby (Fig. 5-44). (a) Find an approximate formula for θ in terms of the mass of...
Possibility of ionic crystals R + R Imagine a crystal that exploits for binding the coulomb attraction of the positive and negative ions of the same atom or molecule R. This is believed to occur...
Find the equivalent resistance at terminals a-b of each circuit in Fig. 2.109. Figure 2.109 1012 40 2022 7 o 30 5 50 b o 30 12 5 20 25 60 15 10
A Ricocheting Bullet 0.100-kg stone rests on a frictionless, horizontal surface. A bullet of mass 6.00 g, traveling horizontally at 350 m/s, strikes the stone and rebounds horizontally at right...
A baseball is thrown with an initial velocity of (10i & 15j) m/s. When it reaches the top of its trajectory, what are? (a) Its velocity and (b) Its acceleration? Neglect the effect of air resistance.
A beam of light is traveling inside a solid glass cube having index of refraction 1.53. It strikes the surface of the cube from the inside. (a) H the cube is in air, at what minimum angle with the...
A mass spectrometer is being used to monitor air pollutants. It is difficult, however, to separate molecules with nearly equal mass such as CO (28.0106u) and N2 (28.0134u). How large a radius of...
An airplane is traveling 735 km/h in a direction 41.5o west of north (Fig 3-21). (a) Find the components of the velocity vector in the northerly and westerly directions. (b) How far north and how far...
The rectangular loop of Wire shown in fig. bas a mass of 0.15 g per centimetre of length and is pivoted about side ab on a frictionless axis. The current in the wire is 8.2 A in the direction shown....
Three forces are applied to a tree sapling, as shown in Fig. 9-41, to stabilize it. If FA = 310 N and FB = 425 N, find FC in magnitude and direction 110 FC
For the spring assemblages shown in Figures P2-8 through P2-16, determine the nodal displacements, the forces in each element, and the reactions. Use the direct stiffness method for all problems....
A man doing push-ups pauses in the position shown in Fig. 9-84. His mass m = 75-kg. Determine the normal force exerted by the floor (a) On each hand; (b) On each foot. 30 cm mg 95 cm + 40 cm-
A Spherical Fish Bowl a small tropical fish is at the center of a water-filled, spherical fish bowl 28.0 cm in diameter. (a) Find the apparent position and magnification of the fish to an observer...
Win the Prize. In a carnival booth, you win a stuffed giraffe if you toss a quarter into a small dish. The dish is on a shelf above the point where the quarter leaves your hand and is a horizontal...
A large wrecking ball is held in place by two light steel cables (Fig. 5.43). If the mass m of the wrecking ball is 4090 kg, what are (a) The tension TB in the cable that makes an angle of 40°...
A Variable-Mass Raindrop in a rocket-propulsion problem the mass is variable. Another such problem is a raindrop falling through a cloud of small water droplets. Some of these small droplets adhere...
A 10.6-kg object oscillates at the end of a vertical spring that has a spring constant of 2.05, 104 N/m. The effect of air resistance is represented by the damping coefficient b = 3.00 N s/m. (a)...
Inside a starship at rest on the earth, a ball rolls off the top of a horizontal table and lands a distance D from the foot of the table. This starship now lands on the unexplored Planet X. The...
Draw the free-body diagram for a basketball player (a) Just before leaving the ground on a jump, and (b) While in the air. See Fig. 4-41. ERN CA VIG (a)
Cars A and B move in the same direction in adjacent lanes. The position x of car A is given in Figure, from time t = 0 to t = 7 .0 s. The figure's vertical scaling is set by xs = 32.0 m. At t = 0,...
Non-glare Glass. When viewing a piece of art that is behind glass, one often is affected by the light that is reflected off the front of the glass (called glare), which can make it difficult to see...
You are watching an object that is moving in SHM. When the object is displaced 0.600 m to the right of its equilibrium position, it bas a velocity of 2.20 m/s to the right and an acceleration of 8.40...
The current world-record motorcycle jump is 77.0 m, set by Jason Renie. Assume that he left the take-off ramp at 12.0o to the horizontal and that the take-off and landing heights are the same....
Two thin rods of length L lie along the x-axis, one between x = a/2 and x = a/2 + L and the other between x = -a/2 and x = -a/2 - L. Each rod has positive charge Q distributed uniformly along its...
A metal rod that is 30.0 cm long expands by 0.0650 cm when its temperature is raised from 0.0C to l00.0C. A rod of a different metal and of the same length expands by 0.0350 cm for the same rise in...
A horizontal beam AB with cross-sectional dimensions (b = 0.75 in.) Ã (h = 8.0 in.) is supported by an inclined strut CD and carries a load P = 2700 lb at joint B [see figure part (a)]. The...
A 1125-kg car and a 2250-kg pickup truck approach a curve on the expressway that has a radius of 225 m. (a) At what angle should the highway engineer bank this curve so that vehicles traveling at...
In an experiment to simulate conditions inside an automobile engine, 0.185 mol of air at a temperature of 780 K and a pressure of 3.00 X 106 Pa is contained in a cylinder of volume 40.0 cm3. Then 645...
In Fig. 6-6a, assume the distance axis is linear and that dA = 10.0m and dB = 35.0m. Estimate the work done by force F in moving a 2.80-kg object from dA to dA.
A uniform beam is suspended horizontally by two identical vertical springs that are attached between the ceiling and each end of the beam. The beam has mass 225 kg, and a 175-kg sack of gravel sits...
In Example 21.4, suppose the point charge on the y-axis at y = -0.30 m has negative charge -2.0, C, and the other charges remain the same. Find the magnitude and direction of the net force on Q. How...
Two identical, uniform beams weighing 260 N each are connected at one end by a frictionless hinge. A light horizontal crossbar attached at the mid points of the beams maintains an angle of 53.0°...
A basketball star covers 2.80 m horizontally in a jump to dunk the ball (Fig. P4.24). His motion through space can be modeled precisely as that of a particle at his center of mass, which we will...
In the circuit shown in Fig. 2.87, determine vx and the power absorbed by the 12-Ω resistor? 1.2 6 A
A machine part has a resistor X protruding from an opening in the side. This resistor is connected to three other resistors, as shown in Fig. An ohmmeter connected across a and b reads 2.00 Ω....
Three charges are at the corners of an equilateral triangle (side L) as shown in Fig. 17-30. Determine the potential at the midpoint of each of the sides. -@ . -30
A 4.60-F capacitor that is initially uncharged is connected in series with a 7.50-k resistor and an emf source with E = 125 V and negligible internal resistance. Just after the circuit is completed,...
For the circuit shown in Fig. 2.116, find the equivalent resistance. All resistors are 1Ω. Figure 2.116 For Prob. 2.52. Req
Figure shows three rotating, uniform disks that are coupled by belts. One belt runs around the rims of disks A and C. Another belt runs around a central hub on disk A and the rim of disk B. The belts...
A 12.0-kg object hangs in equilibrium from a string with a total length of L = 5.00 m and a linear mass density of μ = 0.001 00 kg/m. The string is wrapped around two light, frictionless pulleys...
A small metal sphere, carrying a net charge of q1 = 2.80 µC, is held in a stationary position by insulating supports. A second small metal sphere, with a net charge of q2 = -7.80 µC and...
Estimate the number of photons emitted by the Sun in a year. (Take the average wavelength to be 550 nm and the intensity of sunlight reaching the Earth (outer atmosphere) as 1350W/m2.)
A 250- resistor is connected in series with a 4.80-F capacitor. The voltage across the capacitor is Vc = (7.60V) sin [(120 rad/s)t]. (a) Determine the capacitive reactance of the capacitor. (b)...
When researchers find a reasonably complete fossil of a dinosaur, they can determine the mass and weight of the living dinosaur with a scale model sculpted from plastic and based on the dimensions of...
(a) Suppose the coefficient of kinetic friction between m1 and the plane in Fig. 4-57 is k = 0.15 and that m1 = m2 = 2.7 kg. As m2 moves down, determine the magnitude of the acceleration of m1 and...
Apply Thevenin's theorem to find Vo in the circuit of Fig. 4.105? 42 3-9 16 1682
A pickup truck tailgate supports a crate (WC = 150 lb), as shown in the figure. The tailgate weighs WT = 60 lb and is supported by two cables (only one is shown in the figure). Each cable has an...
Width of diffraction maximum we suppose that in a linear crystal there are identical point scattering centers at every lattice point pm = m a, where m is an integer. By analogy with (20), the total...
Three balls of different masses are thrown straight upward with initial speeds as indicated. a. From fastest to slowest, rank the speeds of the balls 1 s after being thrown. b. From greatest to...
A transverse sine wave with an amplitude of 2.50 mm and a wavelength of 1.80 m travels from left to right along a long, horizontal, stretched string with a speed of 36.0 m/s. Take the origin at the...
A special-purpose eye bolt of shank diameter d = 0.50 in. passes through a hole in a steel plate of thickness tp = 0.75 in. (see figure) and is secured by a nut with thickness t = 0.25 in. The...
A converging meniscus lens (see Fig. 34.32a) with a refractive index of 1.52 has spherical surfaces whose radii are 7.00cm and 4.00cm. What is the position of the image if an object is placed 24.0 cm...
A pump draws water from reservoir A and lifts it to a higher reservoir B, as shown in Figure P4.2.6. The head loss from A to the pump is four times the velocity head in the 10 cm pipe, and the head...
In Fig. 10-54, take into account the speed of the top surface of the tank and show that the speed of fluid leaving the opening at the bottom is where h = y2 yt, and A1 and A2 are the areas of the...
The Cosmo clock 21 Ferris wheel in Yokohama City, Japan, has a diameter of 100 m. Its name comes from its 60 arms each of which can function as a second hand (so that it makes one revolution every...
A simple pendulum has a mass of 0.250 kg and a length of 1.00 m. It is displaced through an angle of 15.0 and then released. What are (a) the maximum speed, (b) The maximum angular acceleration, and...
You pour 108 cm3 of ethanol, at a temperature of -10.0oC, into a graduated cylinder initially at 20.0oC, filling it to the very top. The cylinder is made of glass with a specific heat of 840 J/kg. K...
A double pendulum is attached to a cart of mass 2m that moves without friction on a horizontal surface. See Figure 7-D each pendulum has length b and mass bob m. Find the equations of motion.
Figure shows an approximate plot of stress versus strain for a spider-web thread, out to the point of breaking at a strain of 2.00. The vertical axis scale is set by a = 0.12 GN/m2, b = 0.30 GN/m2,...
For a certain oscillator the net force on the body with mass m is given by F. = -ex. (a) What is the potential energy function for this oscillator if we take U = 0 at x = O? (b) One-quarter of a...
A particle with charge 2.15µC and mass 3.20 X 10-11 kg is initially travelling in the +y-direc1ion with a speed U0 = 1.45 X 105 m/s. It then enters a region containing a uniform magnetic field...
In a meeting of mimes, mime 1 goes through a displacement d1 = (4.0 m)i + (5.0 m)j and mime 2 goes through a displacement d2 = ( 3.0 m)i + (4.0 m)i. What are? (a) d1 x d2 (b) d1 d2 (c) (d1 + d2) and...
Figure shows a hypothetical speed distribution for a sample of N gas particles (not that P(v) = 0 for speed v > 2v0). What are the values of? (a) Av0, (b) vavg/v0, and (c) vrms/v0? (d) What fraction...
In Figure a gas sample expands from V0 to 4.0V0 while its pressure decreases from p0 to p0/4.0. If V0 = 1.0 m3 and P0 = 40 Pa, how much work is done by the gas if its pressure changes with volume...
Describe in words the motion plotted in Fig. 2-28 in terms of v, a, etc. 20 * 10 50 10 20 30 40 I (s) (u) x
The two forces F1 and F2 shown in Fig. 4-43a and b (looking down) act on a 27.0-kg object on a frictionless tabletop. If F1 = 10.2N and F2 = 16.0N, find the net force on the object and its...
A teapot with a surface area of 700 cm2 is to be silver plated. It is attached to the negative electrode of an electrolytic cell containing silver nitrate (Ag, + NO3 -). If the cell is powered by a...
You have several identical balloons. You experimentally determine that a balloon will break if its volume exceeds 0.900 L. The pressure of the gas inside the balloon equals air pressure (1.00 atm....
A Changing Magnetic Field you are testing a new data acquisition system. This system allows you to record a graph of the current in a circuit as a function of time. As part of the test, you are using...
Suppose you have enough linear dielectric material, of dielectric constant r, to half-fill a parallel-plate capacitor (Fig. 4.25). By what fraction is the capacitance increased when you distribute...
The two pendulums shown in Fig. 13.34 each consist of a uniform solid ball of mass M supported by a mass less string, but the ball for pendulum A is very tiny while the ball for pendulum B is much...
At one instant, force F = 4.0j N acts on a 0.25 kg object that has position vector r = (2.0i - 2.0k) m and velocity vector r = (-5.0i + 5.0k) m/s. About the origin and in unit vector notation, what...
Two long, straight conducting wires with linear mass density A are suspended from cords so that they are each horizontal, parallel to each other, and a distance d apart. The back ends of the wires...
A 0.620-kg wood block is firmly attached to a very light horizontal spring (k = 180N/m) as shown in Fig. 6-40. It is noted that the block-spring system, when compressed 5.0 cm and released, stretches...
A meter stick moves past you at great speed. Its motion relative to you is parallel to its long axis. If you measure the length of the moving meter stick to be 1.00 ft (1 ft = 0.3048 m)-for example,...
A vertical, 1.20-m length of 18-gauge (diameter of 1.024 mm) copper wire has a l00.0-N ball hanging from it (a) What is the wavelength of the third harmonic for this wire? (b) A 500.0-N ball now...
Approximately what magnitude force, FM, must the extensor muscle in the upper arm exert on the lower arm to hold a 7.3-kg shot put (Fig. 9-64)? Assume the lower arm has a mass of 2.8 kg and its CG is...
Television Broadcasting, Public television station KQED in San Francisco broadcasts a sinusoidal radio signal at a power of 316 kW. Assume that the wave spreads out uniformly into a hemisphere above...
The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end segments have cross-sectional area A1 = 840 mm2 and length L1 = 200 mm. The middle segment has...
A vaulter holds a 29.4-N pole in equilibrium by exerting an upward force U with her leading hand and a downward force D with her trailing hand, as shown in Figure P12.25. Point C is the center of...
An object is fired vertically upward from the surface of the Earth (of radius RE) with an initial speed vi that is comparable to but less than the escape speed vesc. (a) Show that the object attains...
A 1.50-kg horizontal, uniform tray is attached to a vertical ideal spring of force constant 185 N/m and a 275-g metal ball is in the tray. The spring is below the tray. so it can oscillate up-and...
The 6-m pole ABC is acted upon by a 455-N force as shown. The pole is held by a ball-and-socket joint at A and by two cables BD and BE. For a = 3 m, determine the tension in each cable and the...
A handclap on stage in an amphitheater sends out sound waves that scatter from terraces of width w = 0.75 m (Figure). The sound returns to the stage as a periodic series of pulses, one from each...
On a winter's day in Maine, a warehouse worker is shoving boxes up a rough plank inclined at an angle a above the horizontal. The plank is partially covered with ice, with more ice near the bottom of...
An interplanetary spaceship passes through the point in space where the gravitational forces from the sun and the earth on the ship exactly cancel. (a) How far from the center of the earth is it? Use...
Find i0 in the circuit in Fig. 3.59. Figure 3.59 162 2i 4 A 0 2 4
A 1.50.kg grinding wheel is in the form of a solid cylinder of radius 0.100 m. (a) What constant torque will bring it from rest to an angular speed of 1200 rev/n in 2.5 s? (b) Through what angle has...
A diffraction experiment involving two thin parallel slits yields the pattern of closely spaced bright and dark fringes shown in Fig. 36.33. Only the central portion of the pattern is shown in the...
Two triangular wave pulses are traveling toward each other on a stretched string as shown in Fig.1S.33. Each pulse is identical to the other and travels at 2.00 cm/s. The leading edges of the pulses...
(a) The distance to the North Star, Polaris, is approximately 6.44 x 1018 m. If Polaris were to burn out today, in what year would we see it disappear? (b) How long does it take for sunlight to reach...
Riding a Loop-the-Loop A car in an amusement park ride rolls without friction around the track shown in Fig. 7.32. It starts from rest at point A at a height h above the bottom of the loop. Treat the...
A ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9 past the lowest point on its way up, its total acceleration is (22.5i + 20.2j) m/s2. At that instant, (a)...
The "Giant Swing" at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end (Fig. 5.57). Each arm supports a seat suspended from a cable 5.00 m...