Use information on the endpapers of this book to calculate the average density of the Earth. Where does the value fit among those listed in Tables 1.5 and 14.1? Look up the density of a typical...

A flat, circular, steel loop of radius 75 cm is at rest in a uniform magnetic field, as shown in an edge-on view in Fig. 29.28. The field is changing with time, according to B (t) = (1.4T)e -(0?057...

A 12.4-F capacitor is connected through a 0.895-M resistor to a constant potential difference of 60.0 V. (a) Compute the charge on the capacitor at the following times after the connections are made:...

A hungry fish is about to have lunch at the speeds shown. Assume the hungry fish has a mass 5 times that of the small fish. Immediately after lunch, for each case, rank from greatest to least the...

Two 1.20-m nonconducting wires meet at a right angle. One segment carries + 2.50 µC of charge distributed uniformly along its length, and the other carries - 2.50 µC distributed uniformly...

A (lightweight) pallet has a load of identical cases of tomato paste (See Fig. 7.40), each of which is a cube of length l. Find the center of gravity in the horizontal plane, so that the crane...

A 2.00-kg stone is sliding to the right on a frictionless horizontal surface at 5.00 m/s when it is suddenly struck by an object that exerts a large horizontal force on it for a short period of time....

Work Done in a Cyclic Process (a) In Fig. 19.7a, consider the closed loop 1 3 + 2 4 1. This is a cyclic process in which the initial and final states are the same. Find the total work done by the...

A +8.75-C point charge is glued down on a horizontal frictionless table. It is tied to a -6.50-C point charge by a light, non conducting 2.50-cm wire. A uniform electric field of magnitude 1.85 X 108...

Figure 8-53 illustrates an H2O molecule. The O-H bond length is 0.96 nm and the H-O-H bonds make an angle of 104o. Calculate the moment of inertia for the H2O molecule about an axis passing through...

Two ladders, 4.00 m and 3.00 m long, are hinged at point A and tied together by a horizontal rope 0.90 m above the floor (Fig. 11.67). The ladders weigh 480 N and 360 N, respectively, and the center...

A gazelle is running in a straight line (the x-axis). The graph in Fig. 2.45 shows this animal's velocity as a function of time. During the first 12.0 s, find (a) The total distance moved and (b) The...

The earth has a radius of 6380 km and turns around once 011 its axis in 24 h. (a) What is the radial acceleration of an object at the earths equator? Give your answer in m/s2, and as a fraction of g....

Deep Impact Mission in July 2005, NASA's "Deep Impact" mission crashed a 372-kg probe directly onto 1he surface of the comet Tempell, hitting the surface at 37,000 km/h. The original speed of the...

Mountain Climbing Mountaineers often use a rope to lower themselves down the face of a cliff (this is called rappelling). They do this with their body nearly horizontal and their feet pushing against...

When an object is rolling without slipping, the rolling friction force is much less than the friction force when the object is sliding; a silver dollar will roll on its edge much farther than it will...

(a) Block A in Fig. 5.63 weighs 60.0 N. The coefficient of static friction between the block and the surface on which it rests is 0.25. The weight w is 12.0 N and the system is in equilibrium. Find...

A series of parallel linear water wave fronts are traveling directly toward the shore at 15.0 cm/s on an otherwise placid lake. A long concrete barrier that runs parallel to the shore at a distance...

Figure shows the stress - strain curve for a material. The scale of the stress axis is f set by, s = 300, in units of 106 N/m2. What are? (a) The Young's modulus and (b) The approximate yield...

A jet plane at take-off can produce sound of intensity 10.0 W 1m2 at 30.0 m away. But you prefer the tranquil sound of normal conversation, which is 1.0W/m2. Assume that the plane behaves like a...

A C6-5 model rocket engine has an impulse of 10.0 Ns for 1.70 s, while burning 0.0125 kg of propellant. It has a maximum thrust of 13.3 N. The initial mass of the engine plus propellant is 0.0258 kg....

Three charges are at the corners of an isosceles Triangle as shown in Fig. 21.43. The ±5.00-µC charges form a dipole. (a) Find the force (magnitude and direction) the l0.00-µC...

A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 100.0 m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at...

Use the superposition principle to find io and vo in the circuit Fig. 4.79? Figure 4.79 For Prob. 4.11. 10 10 20 6 A 40 4 +30 V 10

A person pulls horizontally on block B in Fig. 4.35, causing both blocks to move together as a unit. While this system is moving, make a carefully labeled free-body diagram of block A if (a) The...

On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant 2.50 N/cm. The graph in Fig. 13.31 shows the acceleration of the glider as a function of...

A 1130-kg car is held in place by a light cable on a very smooth (frictionless) ramp, as shown in Fig. 5.45. The cable makes an angle of31.0° above the surface of the ramp, and the ramp itself...

Figure shows a portion of a silver ribbon with z1 = 11.8 mm and y1 = 0.23 mm, carrying a current of 120 A in the +x-direction. The ribbon lies in a uniform magnetic field, in the y-direction, with...

Two pulses are moving in opposite directions at 1.0 cm/s on a taut string, as shown in Fig. IS.34. Each square is 1.0 cm. Sketch the shape of the string at the end of (a) 6.0 s; (b) 7.0 s; (c) 8.0 s.

The potential energy of two atoms in a diatomic molecule is approximated by V(r) = a/r12 - b/r2, where r is the spacing between atoms and a and b are positive constants. (a) Find the force F( r) on...

A -4.80-C charge is moving at a constant speed of 6.80 X 105 m/s in the +x-direction relative to a reference frame. At the instant when the point charge is at the origin. What is the magnetic-field...

Find the tension T in each cable and the magnitude and direction of the force exerted on the strut by the pivot in each of the arrangements in Fig. 11.26. In each case let w be the weight of the...

In Fig. 29.37 a conducting rod of length L = 30.0 cm moves in a magnetic field B of magnitude 0.450 T directed into the plane of the figure. The rod moves with speed v = 5.00 m/s in the direction...

Four, long, parallel power lines each carry 100-A currents. A cross-sectional diagram of these lines is a square, 20.0 cm on each side. For each of the three cases shown in Fig, calculate the...

A 60.0-cm, uniform, 50.0-N shelf is supported horizontally by two vertical wires attached to the sloping ceiling (Fig. 11.23). A very small 25.0-N tool is placed on the shelf midway between the...

A closed surface with dimensions a = b = 0.400 m and c = 0.600 m is located as in Figure P24.66. The left edge of the closed surface is located at position x = a. The electric field throughout the...

When the sun is either rising or setting and appears to be just on the horizon, it is in fact below the horizon. The explanation for this seeming paradox is that light from the sun bends slightly...

Rms thermal dilation of crystal cell (a) Estimate for 300 K the root mean square thermal dilation V/V for a primitive cell of sodium. Take the bulk modulus as 7 x 1010 erg cm-3. Note that the Debye...

Calculate the moment of inertia of a thin plate, in the shape of a right triangle, about an axis that passes through one end of the hypotenuse and is parallel to the opposite leg of the triangle, as...

Gaseous Diffusion of Uranium (a) A process called gaseous diffusion is often used to separate isotopes of uranium that is, atoms of the elements that have different masses, such as 235U and 238U. The...

A cylindrical disk of wood Figure 14.34 Exercise 14.23 weighing 45.0 N and having a diameter of 30.0 cm floats on a cylinder of oil of density 0.850 g/cm3 (Fig. 14.34). The cylinder of oil is 75.0 cm...

Calculate the activity of a pure 9.7-g sample of 32/15P (T1/2 = 1.23 X 106s).

Truck suspensions often have helper springs that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in Figure P7.17. The helper spring...

What is the approximate radius of an alpha particle (4/2He)?

A Walk in the Sun. Consider a poor lost soul walking at 5 km/h on a hot day in the desert wearing only a bathing suit. This person's skin temperature tends to rise due to four mechanisms: Challenge...

The Flying Leap of Flea High-speed motion pictures (3500frames/second) of a jumping 210-μg flea yielded the data to plot the flea's acceleration as a function of time as shown in Fig. 5.66. (See...

A 2.8-kg block slides over the smooth, icy hill shown in Fig. 7.35. The top of the hill is horizontal and 70 m higher than its base. What minimum speed must the block have at the base of the hill so...

(a) How much power is radiated by a tungsten sphere (emissivity e = 0.35) of radius 22cm at a temperature of 25oC? (b) If the sphere is enclosed in a room whose walls are kept at 5oC, what is the...

A metal sphere with radius ra is supported on an insulating stand at the center of a hollow, metal. Spherical shell with radius r b- There is charge +q on the inner sphere and charge -q on the outer...

In a laboratory experiment on friction, a 135-N block resting on a rough horizontal table is pulled by a horizontal wire. The pull gradually increases until the block begins to move and continues to...

A thin beam of white light is directed at a flat sheet of silicate flint glass at an angle of 20.0? to the surface of the sheet. Due to dispersion in the glass, the beam is spread out as shown in a...

Water is flowing in a pipe with a varying cross-sectional area, and at all points the water completely fills the pipe. At point 1 the cross-sectional area of the pipe is 0.070 m2, and the magnitude...

Find the force on the charge +q in Fig. 3.14. (The xy plane is a grounded conductor)

A 0.340 kg particle moves in an xy plane according to x(t) = 15.00 + 2.00t 4.00t3 and y(t) = 25.00 + 7.00t 9.00t2 ,with x and y in meters and / in seconds. At t = 0.700s, what are (a) The...

Displacement Current in a Dielectric Suppose that the parallel plates in Fig. 29.23 have an area of 3.00 cm2 and are separated by a 2.50-mm-thick sheet of dielectric that completely fills the volume...

Suppose a scientist repeats the Millikan oil-drop experiment but reports the charges on the drops using an unusual (and imaginary) unit called the warmomb (wa). The scientist obtains the following...

The outer diameter of a glass jar and the inner diameter of its iron lid are both 725 mm at room temperature (20.0C). What will be the size of the mismatch between the lid and the jar if the lid is...

Suppose that the rod in Fig. 17.23a is made of copper, is 45.0 cm long and has a cross-sectional area of 1.25 cm2. Let TH = 100.0oC and Tc = 0.0oC. (a) What is the final steady-state temperature...

A ball is thrown upward at velocities and angles shown. From greatest to least, rank them by their a. Vertical components of velocity. b. Horizontal components of velocity. c. Accelerations when they...

Block A with weight 3w, slides down an inclined plane S of slope angle 36.9° at a constant speed while plank B, with weight w, rests on top of A. The plank is attached by a cord to the wall (Fig....

In an experiment, one of the forces exerted on a proton is F = -ax2i, where a = 12 N/m2. (a) How much work does F do when the proton moves along the straight-line path from the point (0.10m, 0) to...

The mobile in Fig. 9-71 is in equilibrium. Object B has mass of 0.885 kg. Determine the masses of object A, C, and D. (Neglect the weights of the crossbars) 7.50 cm 30.00 cm 15.00 cm 5.00 cm 17.50 cm...

You are lowering two boxes, one on top of the other, down the ramp shown in Figure 5.53 by pulling on a rope parallel to the surface of the ramp. Both boxes move together at a constant speed of 15.0...

Binary Star-Different Masses two stars, with masses M, and M2, are in circular orbits around their center of mass. The star with mass M, has an orbit of radius R the star with mass M2 has an orbit of...

One force acting on a machine part is F = (-5.00 N)i + (4.00 N)j. The vector from the origin to the point where the force is applied is 1 = (-0.450m)i + (0.150m)j (a) In a sketch, show 1, F, and the...

A lonely party balloon with a volume of 2.40 L and containing 0.100 mol of air is left behind to drift in the temporarily uninhabited and depressurized International Space Station. Sunlight coming...

Ballooning on Mars it has been proposed that we could explore Mars using inflated balloons to hover just above the surface. "The buoyancy of the atmosphere would keep the balloon aloft. The density...

A closed curve encircles several conductors. The line integral ф B.d1 around this curve is 3.83 X l0-4 T.m. (a) What is the net current in the conductors? (b) If you were to integrate around...

(a) A horizontal steel I-beam of cross-sectional area 0.041m2 is rigidly connected to two vertical steel girders. If the beam was installed when the temperature was 30oC, what stress is developed in...

A thin-walled, hollow spherical shell of mass m and radius r starts from rest and rolls without slipping down the track shown in Fig. 10.57. Points A and B are on a circular part of the track having...

Monatomic linear lattice consider a longitudinal wave us = u cos (wt ? sKa) which propagates in a monatomic linear lattice of atoms of mass M, spacing a, and nearest-neighbor interaction C. (a) Show...

Find the Thevenin equivalent at terminals a-b of the circuit in Fig. 4.102. 10 20 40 V + 40

A uniform sign of weight Fg and width 2L hangs from a light, horizontal beam, hinged at the wall and supported by a cable (Fig. P12.45). Determine (a) The tension in the cable and (b) The components...

A measure of inelasticity in a head-on collision of two objects is the coefficient of restitution, e, defined as Where vA = vB is the relative velocity of the two objects after the collision and vB...

Two uniform spheres, each of mass 0.260 kg, are fixed at points A and B (Fig. 12.32). Find the magnitude and direction of the initial acceleration of a uniform sphere with mass 0.010 kg if released...

Determining Diet One method for determining the amount of com in early Native American diets is the stable isotope ratio analysis (SIRA) technique. As com photosynthesizes, it concentrates the...

A traffic light hangs from a pole as shown in Fig. 9-55. The uniform aluminum pole AB is 7.50 m long and has a mass of 12.0kg. The mass of the traffic light is 21.5 kg. Determine (a) The tension in...

The ball launcher in a pinball machine has a spring that has a force constant of 1.20 N/cm (Fig. P7.63). The surface on which the ball moves is inclined 10.0° with respect to the horizontal. If...

A long line carrying a uniform linear charge density + 50.0 C/m runs parallel to and 10.0 cm from the surface of a large, flat plastic sheet that has a uniform surface charge density of -100 C/m2 on...

The Longest Home Run according to the Guinness Book of World Records, the longest home run ever measured was hit by Roy "Dizzy" Carlyle in a minor league game. The ball traveled 188 m (618 ft) before...

A hollow, thin-walled insulating cylinder of radius R and length L (like the cardboard tube in a roll of toilet paper) bas charge Q uniformly distributed over its surface. (a) Calculate the electric...

Water flows steadily from an open tank as in Fig. 14.43. The elevation of point 1 is 10.0 m, and the elevation of points 2 and 3 is 2.00 m. 1be cross-sectional area at point 2 is 0.0480 m2; at point...

A 500.0-g bird is flying horizontally at 2.25 m/s, not paying much attention, when it suddenly flies into a stationary vertical bar, hitting it 25.0 cm below the top (Fig. 10.63). The bar is uniform,...

In 1993 the radius of Hurricane Emily was about 350 km. The wind speed near the center ("eye") of the hurricane, whose radius was about 30 km. reached about 200 km/h. As air swirled in from the rim...

A toroid has a major radius R and a minor radius r, and is tightly wound with N turns of wire, as shown in Figure P32.12. If R >> r, the magnetic field in the region enclosed by the wire of the...

The angular velocity of a flywheel obeys the equation wc(t) = A + Bt2 , where t is in seconds and A and B are constants having numerical values 2.75 (for A) and 1.50 (for B). (a) What are the units...

A 10.0-g marble slides to the left with a velocity of magnitude 0.400 m/s on the frictionless, horizontal surface of an icy New York sidewalk and has a head-on, elastic collision with a larger 30.0-g...

Figure 16.45 shows the pressure fluctuation p of a nonsinusoidal sound wave as a function of x for t = 0. The wave is traveling in the +x-direction. (a) Graph the pressure fluctuation p as a function...

A uniform, 255-N rod that is 2.00 m long carries a 225-N weight at its right end and an unknown weight W toward the left end (Fig. 11.35) When W is placed 50.0 cm from the left end of the rod, the...

Youngs modulus and Poissons ratio A cubic crystal is subject to tension in the [100] direction. Find expressions in terms of the elastic stiff nesses for Youngs modulus and Poissons ratio as defined...

It is desired to magnify reading material by a factor of 2.5 x when a book is placed 8.0cm behind a lens. (a) Draw a ray diagram and describe the type of image this would be. (b) What type of lens is...

A square metal plate 0.180 m on each side is pivoted about an axis through point 0 at its center and perpendicular to the plate (Fig. 10.39). Calculate the net torque about this axis due to the three...

Center of Percussion A baseball hat rests on a frictionless, horizontal surface. The bat has a length of 0.900 m, a mass of 0.800 kg, and its center of mass is 0.600 m from the handle end of the hat...

A point charge q1 = + 2.40 C is held stationary at the origin. A second point charge q2 = -4.30 C moves from the point x = 0.150 m, Y = 0 to the point x = 0.250 m, Y = 0.250 m. How much work is done...

Two blocks, of masses m1 and m2, are connected to each other and to a central post by cords as shown in Fig, 5-37. They rotate about the post at a frequency f (revolutions per second) on a...

A 2.00-kg rock has horizontal velocity of magnitude 12.0 m/s when it is at point Pin Fig. 10.47. (a) At this instant, what are the magnitude and direction of its angular momentum relative to point O?...

A person pushes a 14.0-kg lawn mower at constant speed with a force of F = 88.0 N directed along the handle, which is at an angle of 45.0o to the horizontal (Fig.4-45). (a) Draw the free-body diagram...

A 15,000-N crane pivots around a friction-free axle at its base and is supported by a cable making a 25° angle with the crane (Fig. 11.29). The crane is 16 m long and is not uniform, its center...

A U.S. penny has a diameter of 1.9000 cm at 20.0C. The coin is made of a metal alloy (mostly zinc) for which the coefficient of linear expansion is 26 X 10-5 K-1. What would its diameter be on a hot...

In Fig. 3-33, a vector a with a magnitude of 17.0m is directed at angle = 56.0o counter clock-wise from the + x axis. What are the components? (a) ax and (b) ay of the vector? A second co-ordinate...