A solid, uniform ball rolls without slipping up a hill, as shown in Fig. 10.61. At the top of the hill, it is moving horizontally, and then it goes over the vertical cliff. (a) How far from the foot...

A piano tuner stretches a steel piano wire with a tension of 800 N. The steel wire is 0.400 rn long and has a mass of 3.00 g. (a) What is the frequency of its fundamental mode of vibration? (b) What...

A particle with charge 6.40 X 10-19 C travels in a circular orbit with radius 4.68 mm due to the force exerted on it by a magnetic field with magnitude 1.65 T and perpendicular to the orbit. (a) What...

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...

(a) How much work is required to acceleration a proton from rest up to a speed of 0.997c? (b) What would be the momentum of this proton?

The uniform solid block in Figure has mass 0.172 kg and edge lengths a = 3.5 cm, b = 8.4 cm, and c = 1.4 cm. Calculate its rotational inertia about an axis through one corner and perpendicular to the...

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 certain pulsar, believed to be a neutron star of mass 1.5times that of the Sun, with diameter 20km, is observed to have a rotation speed of 1.0rev/s. If it loses rotational kinetic energy at the...

A heat engine operates between two reservoirs at T2 = 600 K and T1 = 350 K. It takes in 1 000 J of energy from the higher-temperature reservoir and performs 250 J of work. Find (a) The entropy change...

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...

If wind blows at 35m/s over a house, what is the net force on the roof if its area is 240m2 and is flat?

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...

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 proton and electron have the same kinetic energy upon entering a region of constant magnetic field. What is the ratio of the radii of their circular paths?

If you run away from a plane mirror at 2.40m/s, at what speed does your image move away from you?

Newton's rings can be seen when a planoconvex lens is placed on a flat glass surface (see Problem 3539). For a particular lens with an index of refraction of n = 1.50 and a glass plate with an index...

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...

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...

In Figure a runaway truck with failed brakes is moving downgrade at 130 km/h just before the driver steers the truck up a frictionless emergency escape ramp with an inclination of 0 = 15o. 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...

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

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...

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...

For the bar assemblages shown in Figures P3-2 through P3-11, determine the nodal displacements, the forces in each element, and the reactions. Use the direct stiffness method for these problems....

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...

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...

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...

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 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...

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 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?

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...

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....

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

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...

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...

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...

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...

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 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...

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...

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...

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 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...

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 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...

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...

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...

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...

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)...

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)...

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...

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

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.

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...

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...

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...

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...

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 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....

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...

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...

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 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...

At a particular temperature and pressure, a helium gas contains 5 10 25 atoms/m 3 . If a 10-kV/m field applied to the gas causes an average electron cloud shift of 10 8 m, find the dielectric...

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....

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...

A constant horizontal force F is applied to a lawn roller in the form of a uniform solid cylinder of radius R and mass M (Fig. P10.78). If the roller rolls without slipping on the horizontal surface,...

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?

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 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...

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...

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...

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,...

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 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 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 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...

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) 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...

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....

An insulating solid sphere of radius a has a uniform volume charge density and carries a total positive charge Q. A spherical Gaussian surface of radius r, which shares a common center with the...

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...

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?

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?...

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)...

Calculate the three currents I1, I 2, and I3 indicated in the circuit diagram shown in Fig. 5.00 1 ww 8.00 2 1.00 9:00 . 12:00 L00 10.00 1

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...

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....

A capacitor with square plates of edge length L is being discharged by a current of 0.75 A. Figure is a head-on view of one of the plates from inside the capacitor. A dashed rectangular path is...