A certain sound source is increased in sound level by 30.0 dB. By what multiple is (a) Its intensity increased and (b) Its pressure amplitude increased?

A radio-controlled model airplane has a momentum given by [( -0.75 kg' m/s')t2 + (3.0 kg' m/s)]i+ (0.25 kg' m/s2 )tj. What are the X-, y-, and z-components of the net force on the airplane?

A cylindrical tungsten filament 15.0 cm long with a diameter of 1.00 mm is to be used in a machine for which the temperature will range from room temperature (20C) up to 120C. It will carry a current...

The Spinning Figure Skater the outstretched hands and arms of a figure skater preparing for a spin can be considered a slender rod pivoting about an axis through its center (Fig. 10.49). When the...

For a satellite to be in a circular orbit 780 km above the surface of the earth, (a) What orbital speed must it be given, and (b) What is the period of the orbit (in hours)?

When a wood shelf of mass 5.0 kg is fastened inside a slot in a vertical support as shown in Fig. 9-73, the support exerts a torque on the shelf. (a) Draw a free-body diagram for the shelf, assuming...

Compute the line integral of v = 6x + yz2y + (3y + z)z along the triangular path shown in Fig. 1.49. Check your answer using Stokes' theorem. X N 2 1 y

The wave function of a standing wave is y(x, t) = 4.44 mm sin [(32.5 rad/m) x] sin [(754rad/s) t]. For the two traveling waves that make up this standing wave, find the (a) Amplitude; (b) Wavelength;...

A long cylindrical conductor of radius R carries a current I as shown in Figure P30.29. The current density J, however, is not uniform over the cross section of the conductor but is a function of the...

During the time 0.305 mol of an ideal gas undergoes an isothermal compression at 22.0oC, 518 I of work is done on it by the surroundings. (a) If the final pressure is 1.76 aims, what was the initial...

Figure 8-35 depicts the potential energy of a 655-kg pallet that slides from rest down a frictionless roller conveyer ramp, then moves across a frictionless horizontal conveyer, and finally...

One blade of a pair of scissors rotates counterclockwise in the xy plane. What is the direction of w? What is the direction of a if the magnitude of the angular velocity is decreasing in time?

A block of mass m is attached to the end of a spring (spring stiffness constant k). Fig. 6-40. The block is given an initial displacement xo, after which is oscillates back and forth. Write a formula...

Extrasolar Planets. In the not-too-distant future, it should be possible to detect the presence of planets moving around other stars by measuring the Doppler shift in the infrared light they emit. H...

A 12.0-F capacitor is charged to a potential of 50.0 V and then discharged through a 175- resistor. How long does it take the capacitor to lose (a) Half of its charge and (b) Half of its stored...

Earth-Ionosphere Capacitance, The earth can be considered as a single-conductor capacitor (see Problem 24.67). It can also be considered in combination with a charged layer of the atmosphere, the...

Consider the electric dipole of Example 21.15. (a) Derive an expression for the magnitude of the electric field produced by the dipole at a point on the x-axis in Fig. 21.34. What is the direction of...

An 85.0 kg passenger is made to move along a circular path of radius r = 3.50 m in uniform circular motion.(a) Figure (a) is a plot of the required magnitude F of the net centripetal force for a...

A cone with base radius R and height h is located on a horizontal table. A horizontal uniform field E penetrates the cone, as shown in Figure P24.8. Determine the electric flux that enters the...

Two square conducting plates with sides of length L are separated. By a distance D. A dielectric slab with constant K with dimensions L X L X D is inserted a distance x into the space between the...

A thin, 75.0-cm wire has a mass of 16.5 g. One end is tied to a nail, and the other end is attached to a screw that can be adjusted to vary the tension in the wire. (a) To what tension (in Newtons)...

An uncharged conducting sphere of radius a is coated with a thick insulating shell (dielectric constant r) out to radius b. This object is now placed in an otherwise uniform electric field E0. Find...

Six diesel units in series can provide 13.4 MW of power to the lead car of a freight train. The diesel units have total mass 1.10 X 106 kg. The average car in the train has mass 8.2 X 104 kg and...

(a) Compute the torque developed by an industrial motor whose output is 150 kW at an angular speed of 4000 rev/min. (b) A drum with negligible mass, 0.400 m in diameter is attached to the molar...

The plates of a parallel-plate capacitor are 3.28 mm apart, and each has an area of 12.2 cm2. Each plate carries a charge of magnitude 4.35 X 10-8 C. The plates are in vacuum. (a) What is the...

In Figure a cube of edge length L = 0.600m and mass 450 kg is suspended by a rope in an open tank of liquid of density 1030 kg/m3. Find (a) The magnitude of the total downward force on the top of the...

Find Leq at the terminals of the circuit in Fig. 6.75. 6 mH 8 mH 5 mll 12 mH 8 mH 6 mIl 4 mlI 10 mll 8 mll

In April 1974, John Massis of Belgium managed to move two passenger railroad cars. He did so by clamping his teeth down on a bit that was attached to the cars with a rope and then leaning backward...

For the stepladder shown in Figure sides AC and CE are each 2.44 m long and hinged at C. Bar BD is a tie-rod 0.762 m long, halfway up. A man weighing 854 N climbs 1.80 m along the ladder. Assuming...

An astronaut is standing at the north pole of a newly discovered, spherically symmetric planet of radius R. In his hands be holds a container full of a liquid with mass m and volume V. At the surface...

A beam ABC with an overhang at one end supports a uniform load of intensity 12 kN/m and a concentrated moment of magnitude 3 kN ( m at C (see figure). Draw the shear-force and bending-moment diagrams...

An unmanned space probe (of mass m and speed v relative to the Sun) approaches the planet Jupiter (of mass M and speed VJ relative to the Sun) as shown in Fig. 9-84. The spacecraft rounds the planet...

A 0.60-kg mass at the end of a spring vibrates 3.0 times per second with and amplitude of 0.13m. Determine (a) The velocity when it passes the equilibrium point, (b) The velocity when it is 0.10 m...

A common device for entertaining a toddler is a jump seat that hangs from the horizontal portion of a doorframe via elastic cords (Figure). Assume that only one cord is on each side in spite of the...

A rainbow is produced by the reflection of sunlight by spherical drops of water in the air. Figure 33.62 shows a ray that refracts into a drop at point A, is reflected from the back surface of the...

A 0.500-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.0 cm. Calculate (a) The maximum value of its speed and...

A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.386 m. The maximum transverse acceleration of a...

A block of mass m is supported by two identical parallel vertical springs, each with spring stiffness constant k (Fig. 11-49). What will be the frequency of vibration?

One end of a uniform meter stick is placed against a vertical wall (Fig. 11.50). The other end is held by a lightweight cord that makes an angle 6 with the stick. The coefficient of static friction...

Figure 9-51 show a pair of forceps used to hold a thin plastic rod firmly. If each finger squeezes with a force FT = FB = 11.0 N, what force do the forceps jaws exert on the plastic rod? Jaws Rod FT...

Terminal Speed A bar of length L = 0.8 m is free to slide without friction on horizontal rails, as shown in Fig. 29.48. There is a uniform magnetic field B = 1.5 T directed into the plane of the...

What is the ratio of the gravitational pull of the sun on the moon to that of the earth on the moon? (Assume the distance of the moon from the sun can be approximated by the distance of the earth...

An object of mass m is at rest in equilibrium at the origin. At t = 0 a new force F (t) is applied that has components Fx (t) = kl + k2y Fy (t) = k3t where k1, k2, and k3 are constants. Calculate the...

The three balls each weigh 0.5 lb and have a coefficient of restitution of e = 0.85. if ball A is released from rest and strikes ball B and then ball B strikes ball C, determine the velocity of each...

A bicyclist traveling with speed v = 4.2 m/s on a flat road is making a turn with a radius r = 6.4 m. The forces acting on the cyclist and cycle are the normal force (Fn) and friction force (Ffr)...

A clock pendulum oscillates at a frequency of 2.5 Hz. At t = 0, it is released from rest starting at an angle of 15o to the vertical. Ignoring friction, what will be the position (angle) of the...

An ice-cube tray of negligible mass contains 0.350 kg of water at 18.0C. How much heat must be removed to cool the water to 0.00C and freeze it? Express your answer in joules, calories, and Btu.

In Figure, two particles, each with mass m = 0.85 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.6 cm and mass M = I.2 kg. The combination...

A particle of mass 3m is located 1.00 m from a particle of mass m. (a) Where should you put a thin mass M 80 that the net gravitational force on M due to the two masses is exactly zero? (b) Is the...

A light string with a mass per unit length of 8.00 g/m has its ends tied to two walls separated by a distance equal to three fourths of the length of the string (Fig. P16.30) An object of mass m is...

A sinusoidal wave is sent along a string with a linear density of 2.0g/m. As it travels, the kinetic energies of the mass elements along the string vary. Figure a gives the rate dK/dt at which...

A proton moves with a velocity of v = (2i - 4j +k) m/s in a region in which the magnetic field is B = (i = 2j - 3k) T. What is the magnitude of the magnetic force this charge experiences?

A rectangular coil consists of N = 100 closely wrapped turns and has dimensions a = 0.400 m and b = 0.300 m. The coil is hinged along the y axis, and its plane makes an angle θ = 30.0° with...

A goldfish is swimming at 2.00 cm/s toward the front wall of a rectangular aquarium. What is the apparent speed of the fish measured by an observer looking in from outside the front wall of the tank?...

Using Eqs. 2.27 and 2.30, find the potential at a distance z above the center of the charge distributions in Fig. 2.34. In each case, compute E = V, and compare your answers with Prob. 2.2a, Ex....

A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 6.00-min trip, find (a) The...

A soft drink (mostly water) flows in a pipe at a beverage plant with a mass flow rate that would fill 220 0.355-L cans per minute. At point 2 in the pipe, the gauge pressure is 152 kPa and the...

In mass spectrometer, germanium atoms have radii of curvature equal to 21.0, 21.6, 21.9, 22.2, and 22.8, cm. The largest radius corresponds to an atomic mass of 76 u. what are the atomic masses of...

A total electric charge of 3.50 nC is distributed uniformly over the surface of a metal sphere with a radius of 24.0 cm. If the potential is zero at a point at infinity, find the value of the...

A small block having a mass 0.1 kg is given a horizontal velocity of v1 = 0.4 m/s when r1 = 500 mm. It slides along the smooth conical surface. Determine the distance h it must descent for it to...

A 0.15G-kg frame, when suspended from a coil spring, stretches the spring 0.050 m. A 0.200-kg lump of putty is dropped from rest onto the frame from a height of 30.0 cm (Fig. 8.42). Find the maximum...

A particle initially located at the origin has an acceleration of a = 3.00j m/s2 and an initial velocity of vi = 500i m/s. Find (a) The vector position and velocity at any time t and (b) The...

A beam of 580-nm light passes through two closely spaced glass plates, as shown in Figure P37.37, for what minimum nonzero value of the plate separation d is the transmitted light bright ? di

The 3.00 kg cube in Figure has edge lengths d = 6.00 cm and is mounted on an axle through its center. A spring (k = 1200N/m) connects the cube's upper corner to a rigid wall. Initially the spring is...

The unit of magnetic flux is named for Wilhelm Weber. The practical-size unit of magnetic field is named for Johann Karl Friedrich Gauss. Both were scientists at Göttingen, Germany....

A current-carrying gold wire has diameter 0.84 mm. The electric field in the wire is 0.49 V/m. What are? (a) The current carried by the wire; (b) The potential difference between two points in the...

A particle of rest mass mo travels at a speed v = 0.20c. At what speed will its momentum be double?

In the 25-ft Space Simulator facility at NASA's Jet Propulsion Laboratory, a bank of overhead arc lamps can produce light of intensity 2500 W 1m' at the floor of the facility. (This simulates the...

A legendary Dutch boy saved Holland by plugging a hole in a dike with his finger, which is 1.20 cm in diameter. If the hole was 2.00m below the surface of the North Sea (density 1 030 kg/m3), (a)...

In February 1955, a paratrooper fell 370 m from an airplane without being able to open his chute but happened to land in snow, suffering only minor injuries. Assume that his speed at impact was 56...

Calculate the earth's gravity force on a 75-kg astronaut who is repairing the Hubble Space Telescope 600 k/n above the earth's surface, and then compare this value with his weight at the earth's...

An athlete throws a ball of mass m directly upward, and it feels no appreciable air resistance. Draw a free-body diagram of this ball while it is free of the athlete's hand and (a) moving upward; (b)...

In Figure a 55 kg rock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed against the opposite side. The fissure has width w = 0.20 m, and...

An electric motor consumes 9.00 kJ of electrical energy in 1.00 min. If one-third of this energy goes into heat and other forms of internal energy of the motor, with the rest going to the molar...

A uniform rectangular coil of total mass 210 g and dimensions 0.500 m X 1.00 m is oriented perpendicular to a uniform 3.00-T magnetic field (Fig). A current of 2.00 A is suddenly started in the coil....

An Antimatter Reactor when a particle meets its antiparticle, they annihilate each other and their mass is converted to light energy. The United States uses approximately 1.0 x 1019 J of energy per...

Two rays traveling parallel to the principal axis strike a large plano-convex lens having a refractive index of 1.60 (Fig. P36.45). If the convex face is spherical, a ray near the edge does not pass...

A circular coil with area A and N turns is free to rotate about a diameter that coincides with the x-axis. Current I is circulating in the coil. There is a uniform magnetic field B in the positive...

At an intersection of hospital hallways, a convex mirror is mounted high on a wall to help people avoid collisions. The mirror has a radius of curvature of 0.550 m. Locate and describes the image of...

A shop sign weighing 245 N is supported by a uniform 155-N beam as shown in Fig. 9-54. Find the tension in the guy wire and the horizontal and vertical forces exerted by the hinge on the beam. 35.0...

The rectangular loop shown in Fig. 21-46 is pushed into the magnetic field which points inward. In what direction is the induced current? x

Escape velocity from the earth is 40,000 km/h. what would be the percent decreases in length of a 95.2-m-long spacecraft traveling at that speed?

Two circular coils of radius R, each with N turns, are perpendicular to a common axis. The coil centers are a distance R apart. Each coil carries a steady current I in the same direction, as shown in...

In the blizzard of 88, a rancher was forced to drop hay bales from an airplane to feed her cattle. The plane flew horizontally at 160 km/hr and dropped the bales from a height of 80m above the flat...

(a) Compute the specific heat capacity at constant volume of nitrogen (N2) gas, and compare with the specific heat capacity of liquid water. The molar mass of N2 is 28.0 g/mol (b) You warm 1.00 kg of...

Three equal positive charges q are at the corners of an equilateral triangle of side a as shown in Figure P23.41. (a) Assume that the three charges together create an electric field. Sketch the field...

(a) A particular household uses a 1.8-kW heater 3.0 h/day (on time), four 100-W lightbulbs 6.0 h/day, a 3.0-kW electric stove element for a total of 1.4 h/day, and miscellaneous power amounting to...

The two pulses shown in Fig. 11-52 are moving toward each other. (a) Sketch the shape of the string at the moment they directly overlap. (b) Sketch the shape of the string a few moments later. (c) In...

A spring-loaded piston-cylinder device is initially filled with 0.13 lbm of an R-134a liquid vapor mixture whose temperature is 230oF and whose quality is 80 percent. The spring constant in the...

A tennis ball is a hollow sphere with a thin wall. It is set rolling without slipping at 4.03 m/s on a horizontal section of a track, as shown in Figure P10.56. It rolls around the inside of a...

A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to Ii(t) = Yt + pt, where 'Y = 0.400rad/s and p = 0.0l20rad/s3. (a) Calculate the...

A window washer pushes his scrub brush up a vertical window at constant speed by applying a force F as shown in Fig. 5.65. The brush weighs 12.0 N and the coefficient of kinetic friction is μk =...

A rotating merry-go-round makes one complete revolution in 4.0 s (Fig. 838). (a) What is the linear speed of a child seated 1.2m from the center? (b) What is her acceleration (give components)?

A mobile is formed by supporting four metal butterflies of equal mass m from a string of length L. The points of support are evenly spaced a distance apart as shown in Figure P5.73. The string forms...

A thin uniform rectangular sign hangs vertically above the door of a shop. The sign is hinged to a stationary horizontal rod along its top edge. The mass of the sign is 2.40 kg and its vertical...

The capacitors in Fig. are initially uncharged and are connected, as in the diagram, with switch S open. The applied potential difference is Vab = +210 V. (a) What is the potential difference Vcd?...

Two tiny balls of mass m carry equal but opposite charges of magnitude q. They are tied to the same ceiling hook by light strings of length L. When a horizontal uniform electric field E is turned on,...

A rectangular coil of wire, 22.0 cm by 35.0 cm and carrying a current of 1.40 A, is oriented with the plane of its loop perpendicular to a uniform 1.50-T magnetic field, as shown in Fig. (a)...

An object in the shape of a thin ring has radius a and mass M. A uniform sphere with mass m and radius R is placed with its center at a distance x to the right of the center of the ring, along a line...

An excited hydrogen atom could, in principle, have a radius of 1.00mm. What would be the value of n for a Bohr orbit of this size? What would its energy be?