Big Ben, the Parliament tower clock in London, has an hour hand 2.70 m long with a mass of 60.0 kg, and a minute hand 4.50 m long with a mass of 100 kg (Fig. P10.40). Calculate the total rotational...

A triangular glass prism with apex angle 60.0 has an index of refraction of 1.50. (a) Show that if its angle of incidence on the first surface is 1 = 48.6, light will pass symmetrically through the...

A landing craft with mass 12,500 kg is in a circular orbit 5.75 X 10 m above the surface of a planet. The period of the orbit is 5800 s. The astronauts in the lander measure the diameter of the...

A cylindrical tank with a large diameter is filled with water to a depth D = 0.30 m. A hole of cross-sectional area A = 6.5 cm2 in the bottom of the tank allows water to drain out. (a) What is the...

The 20-lb box slides on the surface for which μk = 0.3. The box has a velocity v = 15 ft/s when it is 2 ft from the plate. If it strikes the smooth plate, which has a weight of 10 lb and is held...

Show that the wave function y = eb(xvt) is a solution of the linear wave equation (Eq. 16.27), where b is a constant.

It takes a force of 80.0N to compress the spring of a toy popgun 0.200m to load a 0.180-kg ball. With what speed will the ball leave the gun?

Suppose the earths magnetic field at the equator has magnitude 0.40 X 10-4 T and northerly direction at all points. Estimate the speed a singly ionized uranium ion (m = 238 u, q = e) would need to...

A 0.30 kg softball has a velocity of 15 m/s at an angle of 35o below the horizontal just before making contact with the bat. What is the magnitude of the change in momentum of the ball while in...

In Figure a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by AA = 2AB; the Young??s moduli of the cylinders are related by EA = 2EB. The...

While taking photographs in Death Valley on a day when the temperature is 58.0C, Bill Hiker finds that a certain voltage applied to a copper wire produces a current of 1.000 A. Bill then travels to...

Discuss the motion of a particle in a central inverse-square-law force field for a superimposed force whose magnitude is inversely proportional to the cube of the distance from the particle to the...

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 60.00. If dog A exerts a force of 270 N and dog B exerts a force of300 N, find the magnitude of the resultant...

Our Sun is 2.3 x 10 4 ly (light-years) from the center of our Milky Way galaxy and is moving in a circle around that center at a speed of 250 km/s. (a) How long does it take the Sun to make one...

A sanding disk with rotational inertia 1.2 x 10-3 kg m2 is attached to an electric drill whose motor delivers a torque of magnitude 16 N m about the central axis of the disk. About that axis and with...

A raindrop of mass 3.35 x 105 kg falls vertically at constant speed under the influence of gravity and air resistance. Model the drop as a particle. As it falls 100 m, what is the work done on the...

A particle of mass m = 5.00 kg is released from point A and slides on the frictionless track shown in Figure P8.24. Determine (a) The particles speed at points B and C and (b) The net work done by...

A cube of ice is taken from the freezer at 8.5oC and placed in a 95-g aluminum calorimeter filled with 310 g of water at room temperature of 20.0oC. The final situation is observed to be all water...

A long thin solenoid has 430 loops of wire per meter, and a 25-A current flows through the wire. If the permeability of the iron is 30000, what is the total field B inside the solenoid?

A little red wagon with mass 7.00 kg moves in a straight line on a frictionless horizontal surface. It has an initial speed of 4.00 m/s and then is pushed 3.0 m in the direction of the initial...

You and your friends are doing physics experiments on a frozen pond that serves as a frictionless, horizontal surface. Sam, with mass 80.0 kg, is given a push and slides eastward. Abigail, with mass...

For n = 5, l = 3, what are the possible values of m1 and ms?

A capacitor with parallel circular plates of radius R = 1.20 cm is discharging via a current of 12.0 A. Consider a loop of radius R/3 that is centered on the central axis between the plates. (a) How...

A 1.00-mol sample of H2 gas is contained in the left-hand side of the container shown in Figure P22.45, which has equal volumes left and right. The right-hand side is evacuated. When the valve is...

Calculate the power delivered to each resistor in the circuit shown in Figure P28.15. 2.00 3.00 1.00 18,0 V 4.00

In the circuit shown in Fig, find (a) The current in the 3.00-0 resistor; (b) The unknown emfs E1 and E2; (c) The resistance R. Note that three currents are given. 2,00 A R 4.00 0 3,00 A 3.000 6.00 0...

Suppose the plates of a parallel-plate capacitor move closer together by an infinitesimal distance 6, as a result of their mutual attraction. (a) Use Eq. 2.52 to express the amount of work done by...

Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. Ball A is moving upward along the y axis at 2.0m/s, and ball B is moving to the right along...

In a photoelectric experiment using a clean sodium surface, the maximum energy of the emitted photons was measured for a number of different incident frequencies, with the following results Plot the...

An electromagnetic wave of wavelength 435 nm is traveling in vacuum in the - z-direction the electric field bas amplitude 270 x 10-3 v/m and is parallel to the x-axis. What are? (a) The frequency and...

An open container holds 0.550 kg of ice at -15.0C. The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 800.0 J/min for 500.0 min. (a) After how many...

The body in Figure is pivoted at O. Three forces act on it: FA = 10 N at point A, 8.0 m from O; FB = 16 N at B, 4.0 m from O; and FC = 19 N at C, 3.0 m from O. What is the net torque about O? FA 135...

A fisherman sets out upstream from Metaline Falls on the Pend Oreille River in northwestern Washington State. His small boat, powered by an outboard motor, travels at a constant speed v in still...

A student holds a laser that emits light of wavelength 633 nm. The beam passes though a pair of slits separated by 0.300 mm, in a glass plate attached to the front of the laser. The beam then falls...

A physics professor leaves her house and walks along the sidewalk toward campus. After 5 min it starts to rain and she returns home. Her distance from her house as a function of time is shown in Fig....

A resistor with R = 850 is connected to the plates of a charged capacitor with capacitance C = 4.62 F. Just before the connection is made, the charge on the capacitor is 8.10 mC. (a) What is the...

In an EM wave traveling west, the B field oscillates vertically and has a frequency of 80.0 kHz and rms strength of 6.75 x 10-9 T. what are the frequency and rms strength of the electric field, and...

In the Bohr model of the hydrogen atom, what is the de Broglie wavelength for the electron when it is in (a) The n = 1 level and (b) The n = 4 level? In each case, compare the de Broglie wavelength...

In Figure assume that the two light waves, of wavelength 620 nm in air, are initially out of phase by rad. The indexes of refraction of the media are n1 = 1.45 and n2 = 1.65. What are the (a)...

A simple log bridge in a remote area consists of two parallel logs with planks across them (see figure). The logs are Douglas fir with average diameter 300mm. A truck moves slowly across the bridge,...

A chairlift has been stopped in the position shown. Knowing that each chair weighs 250 N and that the skier in chair E weighs 765 N, draw the free-body diagrams needed to determine the weight of the...

In a cyclotron (one type of particle accelerator), a deuteron (of atomic mass 2.00 u) reaches a final speed of 10.0% of the speed of light while moving in a circular path of radius 0.480 m. The...

An energy-efficient light-bulb, taking in 28.0 W of power, can produce the same level of brightness as a conventional bulb operating at power 100 W. The lifetime of the energy efficient bulb is 10...

Three pieces of string, each of length L, are joined together end to end, to make a combined string of length 3L. The first piece of string has mass per unit length 1, the second piece has mass per...

A child rolls a ball on a level floor 3.5m to another child. If the ball makes 15.0 revolutions what is its diameter?

A house has well-insulated walls 17.5 cm thick (assume conductivity of air) and area 410 m2, a roof of wood 6.5 cm thick and area 280m2, and uncovered windows 0.65cm thick and total area 33m2. (a)...

For the circuit shown in Fig. a 20.0-Ω resistor is embedded in a large block of ice at 0.00oC, and the battery has negligible internal resistance. At what rate (in g/s) is this circuit melting...

A ball is shot from the ground into the air. At u height of 9.1m, its velocity is v = (7.6i + 6.1j)m/s, with i horizontal and j upward. (a) To what maximum height does the ball rise? (b) What total...

Three children are trying to balance on a seesaw, which consists of a fulcrum rock, acting as a pivot at the center, and a very light board 3.6m long (Fig. 9-50). Two playmates are already on either...

A charge Q is transferred from an initially uncharged plastic ball to an identical ball 12cm away. The force of attraction is then 17mN. How many electrons were transferred from one ball to the other?

A coin slides over a frictionless plane and across an xy coordinate system from the origin to a point with xy coordinates (3.0 m, 4.0 m) while a constant force acts on it. The force has magnitude 2.0...

In Figure the particles have charges q1 = ?? q2 = 100nC and q3 = ?? q4 = 200nC, and distance a = 5.0cm. What are the(a) x and(b) y components of the net electrostatic force onparticle? t (2 $ 2) 1

Two small silver spheres, each with a mass of 10.0 g, are separated by 1.00 m. Calculate the fraction of the electrons in one sphere that must be transferred to the other in order to produce an...

The resistance of the coil of a pivoted-coil galvanometer is 9.36 Ω, and a current of. 0.0224 A causes it to deflect full scale. We want to convert this galvanometer to an ammeter reading 20.0...

The rectangular loop in the drawing consists of 75 turns and carries a current of I = 4.4 A. A 1.8-T magnetic field is directed along the +y-axis. The loop is free to rotate about the z-axis. (a)...

A large Lucite cube (n = 1.59) has a small air bubble (a defect in the casting process) below one surface. When a penny (diameter 1.90 cm) is placed directly over the bubble on the outside of the...

One end of a solid cylindrical copper rod 0.200 m long is maintained at a temperature of 20.00 K The other end is blackened and exposed to thermal radiation from surrounding walls at 500.0 K the...

A 3.5 kg block is pushed along a horizontal floor by a force F of magnitude 15 N at an angle = 40 o with the horizontal (Figure). The coefficient of kinetic friction between the block and the floor...

Consider Joules apparatus described in Figure 20.1. The mass of each of the two blocks is 1.50 kg, and the insulated tank is filled with 200 g of water. What is the increase in the temperature of the...

Two long straight aluminum wires, each of diameters 0.50mm, carry the same current but in opposite direction. They are suspended by 0.50-m-long strings as shown in Fig. 20-71. If the suspended...

Calculate the magnitude of the angular momentum of an electron in the n = 4, l = 3 state of hydrogen.

If the solenoid in Fig. 21-50 is being pulled away from the loop shown, in what direction is the induced current in the loop?

The masses of the Earth and Moon are 5.98 x 1024 kg and 7.35 x 1022 kg, respectively, and their centers are separated by 3.84 x 108 m. (a) Where is the CM of this system located? (b) What can you say...

A concave mirror is to form an image of the filament of a headlight lamp on a screen 8.00 m from the mirror. The filament is 6.00 mm tall, and the image is to be 36.0 cm tall. (a) How far in front of...

Figure 34.58 shows an object and its image formed by a thin lens.(a) What is the focal length of the lens, and what type of lens (converging or diverging) is it?(b) What is the height of the image?...

In Figure suppose the length L of the uniform bar is 3.00 m and its weight is 200 N. Also, let the block's weight W = 300 N and the angle = 30.0?. The wire can withstand a maximum tension of 500 N....

Figure is an overhead view of a rigid rod that turns about a vertical axle until the identical rubber stoppers A and B arc forced against rigid walls at distances rA = 7.0 cm and rB = 4.0 cm from the...

A rectangular coil of N turns and of length a and width b is rotated at frequency in a uniform magnetic field B, as indicated in Figure. The coil is connected to co-rotating cylinders, against which...

A spaceship leaves earth traveling at 0.71c. At second spaceship leaves the first at a speed of 0.87c with respect to the first. Calculation the speed of the second ship with respect to earth if it...

A funny car accelerates from rest through a measured track distance in time T with the engine operating at a constant power P. If the track crew can increase the engine power by u differential amount...

A particle of charge q is fixed at point P, and a second particle of mass m and the same charge q ts initially held a distance r1 from P. The second particle is then released. Determine its speed...

A uniform soda can of mass 0.140 kg is 12.0 cm tall and filled with 0.354 kg of soda (Figure).Then small holes are drilled in the top and bottom (with negligible loss of metal) to drain the soda....

(a) What is the minimum speed, relative to the Sun, necessary for a spacecraft to escape the solar system if it starts at the Earths orbit? (b) Voyager 1 achieved a maximum speed of 125 000 km/h on...

While driving in an exotic foreign land you see a speed limit sign on a highway that reads 180,000 furlongs per fortnight. How many miles per hour is this? (One furlong is 1/8 mile, and a fortnight...

When its 75-kW (100-hp) engine is generating full power, a small single-engine airplane with mass 700 kg gains altitude at a rate of 2.5 m/s (150 m/min, or 500 ft/min) What fraction of the engine...

A block with mass m is attached to an ideal spring that has force constant k. (a) The block moves from x, to x" where x, > x,. How much work does the spring force do during this disparagement? (b)...

A spacecraft is to be launched from the surface of the earth so that it will escape from the solar system altogether. (a) Find the speed relative to the center of the earth with which the spacecraft...

A certain uniform spring has spring constant k. Now the spring is cut in half. What is the relationship between k and the spring constant k- of each resulting smaller spring? Explain your reasoning.

The scale of the universe (the average distance between galaxies) at any one moment is believed to have been inversely proportional to the absolute temperature. Estimate the size of the universe,...

Grating Design your boss asks you to design a diffraction grating that will disperse the first-order visible spectrum through an angular range of 15.0 (see Example 36.4 in Section 36.5). (a) What...

Figure shows the output from a pressure monitor mounted at a point along the path taken by a sound wave of a single frequency traveling at 343 m/s through air with a uniform density of 1.21 kg/m3....

On January 1, 2016, Plywood Homes, Inc., issued 20year, 4 percent bonds having a face value of $1 million. The interest on the bonds is payable semiannually on June 30 and December 31. The proceeds...

Figure 2-36 is a position versus time graph for the motion of an object along the x axis. Consider the time interval from A to B (a) Is the object moving in the position or negative direction? (b) Is...

A projectile is fired with a velocity v0 such that it passes through two points both a distance h above the horizontal. Show that if the gun is adjusted for maximum range, the separation of the...

A converging lens forms an image of an 8.00-rnm-tall real object. The image is 12.0cm to the left of the lens, 3.40cm tall, and erect. What is the focal length of the lens? Where is the object...

In a playground, two slides have different angles of incline 1 and 2 (2 > 1). A child slides down the first at constant speed; on the second, his acceleration down the slide is a. Assume the...

A beam of light is emitted in a pool of water from a depth of 62.0cm. Where must it strike that air-water interface, relative to the spot directly above it, in order that the light does not exit the...

Submarine rescue when the U. S. submarine Squalus became disabled at a depth of 80m, o cylindrical chamber was lowered from a ship to rescue the crew. The chamber had a radius of 1.00 m and a height...

What horizontal force must be applied to the cart shown in Figure P5.61 in order that the blocks remain stationary relative to the cart? Assume all surfaces, wheels, and pulley is frictionless....

A converging lens has a focal length of 20.0 cm. Locate the image for object distances of (a) 40.0 cm, (b) 20.0 cm, and (c) 10.0 cm. For each case, state whether the image is real or virtual and...

A narrow beam of sodium yellow light, with wavelength 589 nm in vacuum, is incident from air onto a smooth water surface at an angle of incidence of 35.0. Determine the angle of refraction and the...

Block A in Fig. 14.39 hangs by a cord from spring balance D and is submerged in a liquid C contained in beaker B. The mass of the beaker is 1.00 kg; the mass of the liquid is 1.80 kg. Balance D reads...

A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 192 m/s and a frequency of 240 Hz. The amplitude of the standing wave at an antinode is 0.400 cm. (a)...

A bucket of water is accelerated upward at 2.4g. What is the buoyant force on a 3.0-kg granite rock (SG = 2.7) submerged in the water? Will the rock float? Why or why not?

Suppose a 55-kg person stands at the edge of a 6.5-m diameter merry-go-round turntable that is mounted on frictionless bearings and has a moment of inertia of 1700 kg m2. The turntable is at rest...

The variable capacitance of an old radio tuner consists of four plates connected together placed alternately between four other plates, also connected together (Fig. 19-62). Each plate is separated...

In the Sun, an ionized helium (He+) atom makes a transition from the n = 6 state to the n = 2 state emitting a photon. Can that photon be absorbed by hydrogen atoms present in the Sun? If so, between...

Nuclear fusion reactions at the center of the sun produce gamma-ray photons with energies of order 1 MeV (106eV). By contrast, what we see emanating from the sun's surface are visible light photons...

For the filamentary loop shown in figure find the magnetic field strength at O. 10 A 4 cm 100 cm 10 A

The expression F = arv + br 2v 2 gives the magnitude of the resistive force (in newtons) exerted on a sphere of radius r (in meters) by a stream of air moving at speed v (in meters per second), where...