A stockroom worker pushes a box with mass 11.2 kg on a horizontal surface with a constant speed of 3.50 m/s. The coefficient of kinetic friction between the box and the surface is 0.20. (a) What...

A baseball is thrown from the roof of a 22.0-m-tall building with an initial velocity of magnitude 12.0 m/s and directed at an angle of 53.10 above the horizontal. (a) What is the speed of the ball...

A bat strikes a 0.145-kg baseball. Just before impact, the ball is traveling horizontally to the right at 50.0 m/s, and it leaves the bat traveling to the left at an angle of 30 above horizontal with...

A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.00 cm and 1.00 x 103 turns/meter (Fig P31.10) the current in the solenoid changes as I = (5.00 A) sin (120t). Find the...

A circular loop of wire of radius r is in a uniform magnetic field, with the plane of the loop perpendicular to the direction of the field (Fig. P31.59). The magnetic field varies with time according...

Two people are carrying a uniform wooden board that is 3.00 m long and weighs 160 N. If one person applies an upward force equal to 60 N at one end, at what point does the other person lift? Begin...

A uniform film of TiO2, 1036nm thick and having index of refraction 2.62, is spread uniformly over the surface of crown glass of refractive index 1.52. Light of wavelength 520.0nm falls at normal...

Figure shows four penguins that are being playfully pulled along very slippery (frictionless) ice by a curator. The masses of three penguins and the tension in two of the cords are m1 = 12 kg, m3 =...

An ingenious bricklayer builds a device for shooting bricks up to the top of the wall where he is working. He places a brick on a vertical compressed spring with force constant k = 450 N/m and...

In Figure a long circular pipe with outside radius R = 2.6 cm carries a (uniformly distributed) current i = 8.00 mA into the page. A wire runs parallel to the pipe at a distance of 3.00R from center...

A centrifuge accelerates uniformly from rest to 15,000 rpm in 220s. Through how many revolutions did it turn in this time?

A gas is taken through the cyclic process described in Figure P20.30. (a) Find the net energy transferred to the system by heat during one complete cycle. (b) What If? If the cycle is reversedthat...

An electrical short cut off all power to a submersible diving vehicle when it is 30 m below the surface of the ocean the crew must push out a hatch of area 0.75 m2 and weight 300 N on the bottom to...

A machinist bores a hole of diameter 1.35 cm in a steel plate at a temperature of 25.0C. What is the cross-sectional area of the hole? (a) At 25.0C and (b) When the temperature of the plate is...

A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is - 3Q, and it is insulated from its...

Test the divergence theorem for the function v = (xy) x + (2yz) y + (3zx) z. Take as your volume the cube shown in Fig. 1.30, with sides of length 2. 2 N 2

A block of mass m = 1.62kg slides down a frictionless incline (Figure 2-A). The block is released a height h = 3.91, above the bottom of the loop. (a) What is the force of the inclined track on the...

Four identical particles of mass 0.50 kg each ate placed at the vertices of a 2.0 m x 2.0 m square and held there by four massless rods, which form the sides of the square. What is the rotational...

The refractive index of material A is greater than the refractive index of material B. A ray of light is incident on the interface between these two materials in a number of ways, as the drawings...

(a) If a drop of liquid has capacitance 1.00 pF, what is its radius? (b) If another drop has radius 2.00 mm, what is its capacitance? (c) What is the charge on the smaller drop if its potential is...

A coil bas 400 turns and self-inductance 3.50 mH. The current in the coil varies with time according to i = (680 mA) cos (t/0.0250s). (a) What is the maximum emf induced in the coil? (b) What is the...

In 0.750 s, a 7.00-kg block is pulled through a distance of 4.00 m on a frictionless horizontal surface, starting from rest. The block has a constant acceleration and is pulled by means of a...

An idealized voltmeter is connected across the terminals of a battery while the current is varied. Figure 25.34 shows a graph of the voltmeter reading Vas a function of the current I through the...

Agent Bond is standing on a bridge, 12m above the road below, and his pursuers are getting too close for comfort. He spots a flatbed truck approaching at 25m/s, which he measures by knowing that the...

Three equal resistors (R) are connected to a battery as shown in Fig. 19-42. Qualitatively, what happens to? (a) The voltage drop across each of this resistor, (b) The current flow through each, (c)...

An oil tanker spills a large amount of oil (n = 1.45) intothe sea (n = 1.33). (a) If you look down onto the oil spill from overhead, what predominant wavelength of light do you see at a point where...

A person riding in a subway train drops a ball from rest straight downward, relative to the interior of the train. The train is moving horizontally with a constant speed of 6.7 m/s. A second person...

Suppose the worker in Exercise 6.3 pushes downward at an angle of 30 below the horizontal. (a) What magnitude of force must the worker apply to move the crate at constant velocity? (b) How much work...

The position of a racing car, which starts from rest at t = 0 and moves in a straight line, is given as a function of time in the following Table. Estimate (a) Its velocity and (b) Its acceleration...

The forces acting on a 67,000-kg aircraft flying at constant velocity are shown in Fig.9-78. The engine thrust, FT = 5.0 X 105 N, acts on a line 1.6m below the CM. Determine the drag force FD and the...

Figure shows a three-particle system, the masses m1 = 3.0 kg, m2 = 4.0kg, m3 = 8.0 kg. The scales on the axes are set by xs = 2.0 m and ys = 2.0m. What are?(a) The x coordinate and(b) The y...

A singly charged ion of 7Li (an isotope of lithium) has a mass of 1.16 X 10-26 kg. It is accelerated through a potential difference of 220 V and then enters a magnetic field with magnitude 0.723 T...

A film of Jesse Owenss famous long jump (Fig.6-42) in the 1936 Olympics shows that his center of mass rose 1.1m from launch point to the top of the are What minimum speed did he need at launch if he...

A constant horizontal force Fa pushes a2.00 kg FedEx package across a frictionless floor on which an xy coordinate system has been drawn. Figure gives the package's x and y velocity components versus...

The first law of thermodynamics says you cant really win, and the second law says you cant even break even. Explain how this statement applies to a particular device or process; alternatively, argue...

Two small spheres with mass m = 15.0 g are hung by silk threads of length L = 1.20 m from a common point (Fig. 21.44). When the spheres are given equal quantities of negative charge, so that q1 = q2...

A fisherman in a boat is using a 10.lb fishing line. This means that the line can exert a force of 45 N without breaking (1 lb = 4.45 N). (a) How heavy a fish can the fisherman land if he pulls the...

Through a pipe 15.0 cm in diameter, water is pumped from the Colorado River up to Grand Canyon Village, located on the rim of the canyon. The river is at an elevation of 564 m, and the village is at...

Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.100 kg and 0.700 kg, and uniformly distributed charges of !2.00 +C and 3.00 +C. They are released from rest when their centers are...

A non-uniform fire escape ladder is 6.0 m long when extended to the icy alley below. It is held at the top by a frictionless pivnt, and there is negligible frictional force from the icy surface at...

Figure shows an arrangement of 15 identical disks that have been glued together in a rod-like shape of length L = 1.0000 m and (total) mass M = 100.0 mg. The disk arrangement can rotate about a...

In Figure three thin plastic rods form quarter-circles with a common center of curvature at the origin. The uniform charges on the rods are Q1 = + 30nC, Q2 = + 3.0 Q1 and Q3 = ?? 8.0 Q1 what is the...

A daring 510-N swimmer dives off a cliff with a running horizontal leap, as shown in Fig. 3.39. What must her minimum speed be just as she leaves the top of the cliff so that she will miss the ledge...

A force F = (3.00 N)i + (7.00 N)j + (7.00 N)k acts on a 2.00 kg mobile object that moves from an initial position of di = (3.00 m)i (2.00 m)i + (5.00 m)k to a final position of df = (5.00 m)i +...

Two particles with masses m and 3m are moving toward each other along the x axis with the same initial speeds vi. Particle m is traveling to the left, while particle 3m is traveling to the right....

The cue ball A is given an initial velocity (VA)1 = 5 m/s. If it makes a direct collision with ball B (e = 0.8), determine the velocity of B and the angle θ just after it rebounds from the...

A block with mass M rests on a frictionless surface and is connected to a horizontal spring of force constant k. The other end of the spring is attached to a wall (Fig. 13.36). A second block with...

Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk,...

Smoke particles in the air typically have masses of the order of 10-16 kg. The Brownian motion (rapid, irregular movement) of these particles, resulting from collisions with air molecules, can be...

Brillouin zone, rectangular lattice a two-dimensional metal has one atom of valency one in a simple rectangular primitive cell a = 2 A; b = 4 A. (a) Draw the first Brillouin zone give its dimensions,...

A pedestrian moves 6.00 km east and then 13.0 km north. Find the magnitude and direction of the resultant displacement vector using the graphical method.

In Figure a small block of mass m = 0.032 kg can slide along the frictionless loop-the loop, with loop radius R = 12 cm. The block is released from rest at point P, at height h = 5.0R above the...

The size of an oxygen molecule is about 2.0 X 10-10 m. Make a rough estimate of the pressure at which the finite volume of the molecules should cause noticeable deviations from ideal-gas behavior at...

Consider the electric dipole shown in Figure P23.22. Show that the electric field at a distant point on the +x axis is Ex ≈ 4keqa/x 3. -9 2a

Figure shows a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed...

Two small beads having positive charges 3q and q are fixed at the opposite ends of a horizontal, insulating rod, extending from the origin to the point x = d. As shown in Figure P23.10, a third small...

An internal explosion breaks an object, initially at rest, into two pieces, one of which has 1.5 times the mass of the other. If 7500 J were released in the explosion, how much kinetic energy did...

A capacitance C and an inductance L are operated at the same angular frequency. (a) At what angular frequency will they have the same reactance? (b) If L = 5.00mH and C = 3.50F, what is the numerical...

A creature moves at a speed of 5.00 furlongs per fortnight (not a very common unit of speed). Given that 1 furlong = 220 yards and 1 fortnight = 14 days, determine the speed of the creature in m/s....

A student drives a moped along a straight road as described by the velocity-versus-time graph in Figure P2.54. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your...

A uniform solid sphere of radius r is placed on the inside surface of a hemispherical bowl with much larger radius R. The sphere is released from rest at an angle θ to the vertical and rolls...

Determine the initial direction of the deflection of charged particles as they enter the magnetic fields as shown in Figure P29.1. (b) Bup (c) Biht (d) 45

A small 10.0.g bug stands at one end of a thin uniform bar that is initially at rest on a smooth horizontal table. The other end of the bar pivots about a nail driven into the table and can rotate...

A child on a sled come flying over the crest of a small hill, as shown in Fig. 5-31. His sled does not leave the ground (he does not achieve air), but he feels the normal force between his chest and...

What is the longest wavelength light capable of ionizing a hydrogen atom in the ground state?

An experimental bicycle wheel is placed on a test stand so that it is free to turn on its axle. If a constant net torque of 5.00 Nm is applied to the tire for 2.00 s, the angular speed of the tire...

A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 20.0 kg m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same...

You are part of a design team for future exploration of the planet Mars, where g = 3.7 m/s2. An explorer is to step out of a survey vehicle traveling horizontally at 33 m/s when it is 1200 m above...

A 5.0 kg block moves in a straight line on a horizontal frictionless surface under the influence of a force that varies with position as shown in Figure. The scale of the figure's vertical axis is...

A wavelength of 0.129 nm characterizes K2 x-rays from zinc. When a beam of these x-rays is incident on the surface of a crystal whose structure is similar to that of NaCl, a first-order maximum is...

Inter planar separation consider a plane hkl in a crystal lattice. (a) Prove that the reciprocal lattice vector G = hb1 + kb 3 is perpendicular to this plane. (b) Prove that the distance between two...

A 500.0-g chunk of an unknown metal, which has been in boiling water for several minutes, is quickly dropped into an insulating Styrofoam beaker containing 1.00 kg of water at room temperature...

A rookie quarterback throws a football with an initial upward velocity component of 16.0 m/s and a horizontal velocity component of 20.0 m/s. Ignore air resistance. (a) How much time is required for...

The expanding gases that leave the muzzle of a rifle also contribute to the recoil. A .30-caliber bullet has mass 0.00720 kg and a speed of 601 m/s relative to the muzzle when fired from a rifle that...

Antineutrino in beta decay, a nucleus emits an electron. A 210Bi (bismuth) nucleus at rest undergoes beta decay to 210PO (Polonium). Suppose the emitted electron moves to the right with a momentum of...

A child rolls a 0.600-kg basketball up a long ramp. The basketball can be considered a thin-walled, hollow sphere. When the child releases the basketball at the bottom of the ramp, it has a speed of...

An insulating spherical shell with inner radius 25.0 cm and outer radius 60.0 cm carries a charge of + 150.0 C uniformly distributed over its outer surface (see Exercise 23.43). Point a is at the...

A 50.0-g object connected to a spring with a force constant of 35.0 N/m oscillates on a horizontal, frictionless surface with an amplitude of 4.00 cm. Find (a) The total energy of the system and (b)...

Leaping the River I.A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side of the road...

A light rope is attached to a block with mass 4.00 kg that rests on a frictionless, horizontal surface. The horizontal rope passes over a frictionless, mass less pulley, and a block with mass m is...

A crow perches on a clothesline midway between two poles. Each end of the rope makes an angle of q below the horizontal where it connects to the pole. If the weight of the crow is W, what is the...

A square insulating sheet 80.0 cm on a side is held horizontally. The sheet has 7.50 nC of charge spread uniformly over its area (a) Calculate the electric field at a point 0.100 mm above the center...

Cohesive energy of bcc and fcc neon. Using the Lenard-Jones potential, calculate the ratio of the cohesive energies of neon in the bcc and fcc structures (Ans, 0.958). The lattice sums for the bcc...

A force F1 of magnitude 6.00 units acts at the origin in a direction 30.0 above the positive x axis. A second force F2 of magnitude 5.00 units acts at the origin in the direction of the positive y...

In a Newtons-rings experiment, a plano-convex glass (n = 1.52) lens having diameter 10.0 cm is placed on a flat plate as shown in Figure 37.18a. When 650-nm light is incident normally, 55 bright...

A 0.48-kg piece of wood floats in water but is found to sink in alcohol (SG = 0.79), in which it has an apparent mass of 0.047 kg, what is the SG of the wood?

One possibility for a low-pollution automobile is for it to use energy stored in a heavy rotating flywheel. Suppose such a car has a total mass of 1400kg, uses a uniform cylindrical flywheel of...

The magnetic field within a long, straight solenoid with a circular cross section and radius R is increasing at a rate of dB/dt. (a) What is the rate of change of flux through a circle with radius r1...

A homemade capacitor is assembled by placing two 9.in pie pans 5 cm apart and connecting them to the opposite terminals of a 9-V battery. Estimate (a) The capacitance, (b) The charge on each plate,...

Parallel rays of green mercury light with a wavelength of 546 run pass through a slit covering a lens with a focal length of 60.0 cm. In the focal plane of the lens the distance from the central...

Figure 8-34 shows a pendulum of length L = 1.25 m. Its bob (which effectively has all the mass) has speed v0 when the cord makes an angle 0 = 40.0o with the vertical. (a) What is the speed of the bob...

In Figure block 1 has mass m1 = 460 g, block 2 has mass m2 = 500 g, and the pulley, which is mounted on a horizontal axle with negligible friction, has radius R = 5.00 cm. When released from rest,...

(a) Show that V for a spherical shell of radius R, that has charge q distributed uniformly over its surface, is the same as V for a solid conductor with radius R and charge q. (b) You rub an inflated...

Electric charge is distributed uniformly along a thin rod of length a, with total charge Q. Take the potential to be zero at infinity Find the potential at the following points (Fig) (a) point P, a...

Two blocks are in contact on a frictionless table. A horizontal force is applied to the larger block, as shown in Figure. (a) If m1 = 2.3 kg, m2 = 1.2 kg, and F = 3.2 N, find the magnitude of the...

In the frictionless apparatus shown in Fig. 4.43, m1 = 2.0 kg. What is m2 if both masses are at rest? How about if both masses are moving at constant velocity? 112 37

A person with body resistance between his hands of 10 k accidentally grasps the terminals of a 14-kV power supply. (a) If the internal resistance of the power supply is 2000 , what is the current...

When the three blocks in Figure are released from rest, they accelerate with a magnitude of 0.500 m/s 2 . Block t has mass M, block 2 has 2M, and block 3 has 2M. What is the coefficient of kinetic...

Crossing the River I A river flows due south with a speed of 2.0 m/s. A man steers a motorboat across the river; his velocity relative to the water is 4.2 m/s due east. The river is 800 m wide. (a)...

Two loudspeakers are 1.80m apart. A person stands 3.00 m from one speaker and 3.50m from the other. (a) What is the lowest frequency at which destructive interference will occur at this point? (b)...