A long straight wire lies on a horizontal table and carries a current of 1.20 A. In a vacuum, a proton moves parallel to the wire (opposite the current) with a constant speed of 2.30 x 104 m/s at a...

A bicycle wheel has an initial angular velocity of 1.50 rad/ s. (a) If its angular accelera1ion is constant and equal to 0.300 rad/s3, what is its angular velocity at t = 2.50 s? (b) Through what...

The most common isotope of uranium, 23892U, has atomic mass 238.050783 u. Calculate (a) The mass defect; (b) The binding energy (m MeV); (c) The binding energy per nucleon.

Suppose two batteries, with unequal emfs of 2.00 V and 3.00 V, are connected as shown in Fig. 19-51. If each internal resistance is r = 0.100 , and R = 4.00, what is the voltage across the resistor...

(a) What is the velocity of a beam of electrons that go undeflected when passing though crossed (perpendicular) electric and magnetic fields of magnitude 1.88 x 104 V/m and 2.90 x 103 T,...

A Low-Pass Filter. Figure 31.27 shows a low-pass filter (see Problem 31.49); the output voltage is taken across the capacitor in an L-R-C series circuit. Derive an expression for voutlvs, the ratio...

The two blocks in Fig. 4.39 are connected by a heavy uniform rope with a mass of 4.00 kg. An upward force of 200 N is applied as shown. (a) Draw three free-body diagrams, one for the 6.00-kg block,...

A gasoline engine has a power output of 180 kW (about 241 hp). Its thermal efficiency is 28.0%. (a) How much heat must be supplied to the engine per second? (b) How much heat is discarded by the...

An elevator cab and its load have a combined mass of 1600 kg. Find the tension in the supporting cable when the cab, originally moving downward at 12 m/s, is brought to rest with constant...

An electron follows a helical path in a uniform magnetic field given by B = (20i 50j - 30k)mT. At time t = 0, the electron's velocity is given by v = (20i 30j + 50k) m/s. (a) What is the angle ...

A long, hollow, cylindrical conductor (inner radius 2.0 mm, outer radius 4.0 mm) carries a current of 24 A distributed uniformly across its cross section. A long thin wire that is coaxial with the...

A circular tube of outer diameter d3 = 70 mm and inner diameter d2 = 60 mm is welded at the right-hand end to a fixed plate and at the left-hand end to a rigid end plate (see figure). A solid...

Rotating Bar A thin, uniform 12.O-kg bar that is 2.00 m long rotates uniformly about a pivot at one end, making 5.00 complete revolutions every 3.00 seconds. What is the kinetic energy of this bar?...

In a certain region, a charge distribution exists that is spherically symmetric but nonuniform. That is, the volume charge density p(r) depends on the distance r from the center of the distribution...

Figure shows a system of four capacitors, where the potential difference across ab is 50.0V. (a) Find the equivalent capacitance of this system between a and b. (b) How much charge is stored by this...

A wire carrying a 28.0-A current bends through a right angle. Consider two 2.00-mm segments of wire, each 3.00 cm from the bend (Fig). Find the magnitude and direction of the magnetic field these two...

What is the minimum work needed to push a 950-kg car 810m up along a 9.0 incline? (a) Ignore friction. (b) Assume the effective coefficient of friction retarding the car is 0.25.

In an experiment with cosmic rays, a vertical beam of particles that have charge of magnitude 3e and mass 12 times the proton mass enters a uniform horizontal magnetic field of 0.250 T and is bent in...

A body of radius R and mass m is rolling smoothly with speed v on a horizontal surface. It then rolls up a hill to a maximum height h. (a) If h = 3v 2 /4g, what is the body's rotational inertia about...

A proton moves through a uniform magnetic field given by B = (10i - 20j + 30k) m T. At time t1, the proton has a velocity given by v = vx i + vy j + (2.0 km/s) k and the magnetic force on the proton...

Figure 28-56 shows a homo-polar generator, which has a solid conducting disk as rotor and which is rotated by a motor (not shown). Conducting brushes connect this emf device to a circuit through...

A 1.00-kg glider on a horizontal air track is pulled by a string at an angle θ. The taut string runs over a pulley and is attached to a hanging object of mass 0.500 kg as in Fig. P5.65. (a)...

Two identical metallic blocks resting on a frictionless horizontal surface are connected by a light metallic spring having a spring constant k as shown in Figure P23.59a and an unstretched length Li....

A jet plane is flying at a constant altitude. At time I, = 0 it has components of velocity v, = 90 m/s Vy = 110 m/s. At time 12 = 30.0s the components are v, = -170m/s, Vy = 40m/s. (a) Sketch the...

What is the volume rate of flow of water from a 1.85-cm-diameter faucet if the pressure head is 15.0m?

Germanium has a band gap of 0.67eV. Doping with arsenic adds donor levels in the gap 0.01eV below the bottom of the conduction band. At a temperature of 300 K, the probability is 4.4 x 10-4 that an...

Figure shows three blocks attached by cords that loop over frictionless pulleys. Block B lies on a frictionless table; the masses mA = 6.00 kg, mB = 8.00kg, and mC = 10.0kg. When the blocks are...

Figure shows a wood cylinder of mass m = 0.250 kg and length L = 0.100 m, with N = 10.0 turns of wire wrapped around it longitudinally, so that the plane of the wire coil contains the long central...

In the Bohr Theory of the hydrogen atom, an electron moves in a circular orbit about a proton, where the radius of the orbit is 0.529 x 10-10 m. (a) Find the electric force between the two. (b) If...

As you eat your way through a bag of chocolate chip cookies, you observe that each cookie is a circular disk with a diameter of 8.50 0.02 cm and a thickness of 0.050 0.005 cm. (a) Find the average...

Jerk A guitar string vibrates at a frequency of 440 Hz. A point at its center moves in SHM with amplitude of 3.0 mm and a phase angle of zero. (a) Write an equation for the position of the center of...

An experimental power plant at the Natural energy Laboratory of Hawaii generates electricity from the temperature gradient of the ocean. The surface and deep-water temperatures are 27C and 6C,...

The two identical light bulbs in Example 26.2 (Section 26.1) are connected in parallel to a different source, one with E = 8.0 V and internal resistance 0.8 . Each light bulb has a resistance R = 2.0...

In Figure, a 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m. The rotational inertia of the merry-go-round about its rotation axis is 150 kg ? m. The...

In Figure a 50.0 kg uniform square sign, of edge length L = 2.00 m, is hung from a horizontal rod of length dh = 3.00 m and negligible mass. A cable is attached to the end of the rod and to a point...

Consider the physical pendulum of Figure 15.18. (a) If its moment of inertia about an axis passing through its center of mass and parallel to the axis passing through its pivot point is ICM Show that...

One rechargeable battery of mass 15.0 g delivers to a CD player an average current of 18.0 mA at 1.60 V for 2.40 h before the battery needs to be recharged. The recharger maintains a potential...

Super Invar TM, an alloy of iron and nickel, is a strong material with a very low coefficient of linear expansion [0.2 x 10-6 (Co)-1]. A 2.0-m-long tabletop made of this alloy is used for sensitive...

In the circuit shown in Fig both capacitors are initially charged to 45.0 V. (a) How long after closing the switch S will the potential across each capacitor be reduced to 10.0 V, and (b) What will...

Figure shows a proton (p) on the central axis through a disk with a uniform charge density due to excess electrons. Three of those electrons are shown: electron ec, at the disk center and electrons...

Figure shows a beam expander made with two coaxial converging lenses of focal lengths f1 and f2 and separation d = f1 + f2. The device can expand a laser beam while keeping the light rays in the beam...

Estimate how long it would take one person to mow a football field using an ordinary home lawn mower (Fig. 113). Assume the mower moves with a 1 km/h speed, and has a 0.56 m width. 50

A rectangular pipe, running parallel to the z-axis (from to + ), has three grounded metal sides, at y = 0, y = a, and x = 0. The fourth side, at x = b, is maintained at a specified potential V0(y)....

Figure shows a reversible cycle through which 1.00 mol of a monatomic ideal gas is taken. Assume that p = 2p0, V = 2V0, p0 = 1.01 x 105 Pa, and V0 = 0.0225 m3. Calculate (a) The work done during the...

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 physics teacher performing an outdoor demonstration suddenly falls from rest off a high cliff and simultaneously shouts "Help." When she has fallen for 3.0 s, she hears the echo of her shout from...

A pair of eyeglass frames is made of epoxy plastic. At room temperature (20.0C), the frames have circular lens holes 2.20 cm in radius. To what temperature must the frames be heated if lenses 2.21 cm...

The magnetic field 40.0 cm away from a long straight wire carrying current 2.00 A is 1.00 T. (a) At what distance is it 0.100 T? (b) What If? At one instant, the two conductors in a long household...

To prevent damage from arcing in an electric motor, a discharge resistor is sometimes placed in parallel with the armature. If the motor is suddenly unplugged while running, this resistor limits the...

Niobium metal becomes a superconductor when cooled below 9 K. Its superconductivity is destroyed when the surface magnetic field exceeds 0.100 T. Determine the maximum current a 2.00-mm-diameter...

A model airplane with mass 2.20 kg moves in the xy-plane such that its x- and y-coordinates vary in time according to x(t) = a - pt' and yet) = -yt - lit2 , where a = I.S0m, p = 0.120 m/s, -y = 3.00...

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...

Give the result of a calculation that shows whether or not the following decays are possible; (a) 236/92U 235/92U + n; (b) 16/8O 15/8O + n; (c) 23/11Na 22/11Na + n.

A bolt drops from the ceiling of a train car that is accelerating northward at a rate of 2.50 m/s2. What is the acceleration of the bolt relative to (a) the train car? (b) The Earth?

Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass M and radius R about an axis perpendicular to the hoop's plane at an edge.

A 2.00-kg, frictionless block is attached to an ideal spring with force constant 300 N/m. At t = 0 the spring is neither stretched nor compressed and the block is moving in the negative direction at...

Figure gives the speed v versus time t for a 0.500 kg object of radius 6.00 cm that rolls smoothly down a 30? ramp. The scale on the velocity axis is set by vs = 4.0 m/s. What is the rotational...

A puck of mass 80.0 g and radius 4.00 cm slides along an air table at a speed of 1.50 m/s as shown in Figure P11.34a, It makes a glancing collision with a second puck of radius 6.00 cm and mass 120 g...

A rigid, mass less rod has three particles with equal masses attached to it as shown in Figure P11.45. The rod is free to rotate in a vertical plane about a frictionless axle perpendicular to the rod...

A 12.0-kg mass, fastened to the end of an aluminum wire with an unscratched length of 0.50 m, is whirled in a vertical circle with a constant angular speed of 120 rev/min. The cross-sectional area of...

A very long, solid cylinder with radius R has positive charge uniformly distributed throughout it, with charge per unit volume p. (a) Derive the expression for the electric field inside the volume at...

A 12-m pole supports a horizontal cable CD and is held by a ball and socket at A and two cables BE and BF. Knowing that the tension in cable CD is 14 kN and assuming that CD is parallel to the x axis...

Determining the Mass of an Isotope the electric field between the plates of the velocity selector in a Bainbridge mass spectrometer (see Fig) is 1.12 X 105 v/m and the magnetic field in both regions...

A 95 kg solid sphere with a 15 cm radius is suspended by a vertical wire. A torque of 0.20N m is required to rotate the sphere through an angle of 0.85 rad and then maintain that orientation. What...

An alpha particle (the nucleus of a helium atom) has a mass of 6.64 x 10-27 kg and a charge of + 2e. What are the (a) Magnitude and (b) Direction of the electric field that will balance the...

Plot the spring force felt by the mass shown in Figure as a function of the displacement x. When x = 0, spring 1 is at its free length. Spring 2 is at its free length in the configuration shown. D2

A small ball of mass M is attached to the end of a uniform rod of equal mass M and length L that is pivoted at the top (Fig. P15.51) (a) Determine the tensions in the rod at the pivot and at the...

A 10.0-kg box is palled by a horizontal wire in a circle on a rough horizontal surface for which the coefficient of kinetic friction is 0.250. Calculate the work done by friction during one complete...

An aluminum cup of mass 200 g contains 800 g of water in thermal equilibrium at 80.0C. The combination of cup and water is cooled uniformly so that the temperature decreases by 1.50C per minute. At...

The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm2 varies with time according to the equation q = 4t3 + 5t + 6, where t is in seconds. (a) What is the...

A cubical block of density PB and with sides of length L floats in a liquid of greater density PL (a) What fraction of the block's volume is above the surface of the liquid? (b) The liquid is denser...

A sperm whale (Figure a) vocalizes by producing a series of clicks. Actually, the whale makes only a single sound near the front of its head to start the series. Part of that sound then emerges from...

Swimming during a storm figure shows a swimmer at distance D = 35.0 m from a lightning strike to the water, with current I = 78 kA. The water has resistivity 30 ?? ?? m, the width of the swimmer...

A long, thin copper rod 5 mm in diameter is exposed to an environment at 20C. The base temperature of the rod is 120C. The heat-transfer coefficient between the rod and the environment is 20 W/m2 C....

Two spectators at a soccer game in Montjuic Stadium see, and a moment later hear, the ball being kicked on the playing field. The time delay for spectator A is 0.23 s, and for spectator B it is 0.12...

Canal effect figure shows an anchored barge that extends across a canal by distance d = 30m and into the water by distance b = 12m. The canal has a width D = 55m, & water depth H = 14m, and a uniform...

In a 1.25-T magnetic field directed vertically upward, a particle having a charge of magnitude 8.50 .C and initially moving northward at 4.75 km/s is deflected toward the east. (a) What is the sign...

Two long, parallel wires hang by 4.00-cm-Iong cords from a common axis (Fig). The wires have a mass per unit length of 0.0125 kg/m and carry the same current in opposite directions. What is the...

In Figure circuit section AB absorbs energy at a rate of 50 W when current i = 1.0 A through it is in the indicated direction. Resistance R = 2.0?. (a) What is the potential difference between A and...

A spring-loaded gun is cocked by compressing a short, strong spring by a distance d. The gun fires a signal flare of mass m directly upward. The flare has speed v 0 as it leaves the spring and is...

A science student is riding on a flatcar of a train traveling along a straight horizontal track at a constant speed of 10.0 m/s. The student throws a ball into the air along a path that he judges to...

A 4.0-m-long steel wire has a cross-sectional area of 0.050 cm Its proportional limit has a value of 0.0016 times its Young's modulus (see Table 11.1). Its breaking stress has a value of 0.0065 times...

A car that weighs 1.30 x 104 N is initially moving at 40 km/h when the brakes are applied and the car is brought to a stop in 15 m, assuming the force that stops the car is constant, find (a) The...

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

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

The mass of a proton is 1836 times the mass of an electron. (a) A proton is traveling at speed V. At what speed (in terms of V) would an electron have the same kinetic energy as the proton? (b) An...

Two vehicles are approaching an intersection. One is a 2500- kg pickup traveling at 14.0 m/s from east to west (the - x-direction), and the other is a 1500-kg sedan going from south to north (the...

Calculate the net torque about the axle of the wheel shown in Fig. 8-39. Assume that a friction torque of 0.40m N opposes the motion. 35 N 28 N 135 12 em 24 cm 18 N

A piano wire with mass 3.00 g and length 80.0 cm is stretched with a tension of 25.0 N. A wave with frequency 120.0 Hz and amplitude 1.6 mm travels along the wire. (a) Calculate the average power...

The frequency of the note F 4 is 349 Hz. (a) If an organ pipe is open at one end and closed at the other, what length must it have for its fundamental mode to produce this note at 20.OoC? (b) At what...

The femur bone in the human leg has a minimum effective cross section of about 3.0cm2 (= 3.0 X 10-4 m2). How much compressive force can it withstand before breaking?

An ant, crazed by the Sun on a hot Texas afternoon, darts over an xy plane scratched in the dirt. The x and y components of four consecutive darts are the following, all in centimeters: (30.0, 40.0),...

Two waves of light in air, of wavelength = 600.0 nm, are initially in phase. They then travel through plastic layers as shown in Figure, with L1 = 4.00m, L2 = 3.50m, n1 = 1.4l, and n2 = 1.60. (a)...

A point charge Q = 5.00 %C is located at the center of a cube of edge L = 0.100 m. In addition, six other identical point charges having q = -1.00 %C are positioned symmetrically around Q as shown in...

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)...

A photographic slide is to the left of a lens. The lens projects an image of the slide onto a wall 6.00 m to the right of the slide. The image is 80.0 times the size of the slide. (a) How far is the...

(a) Calculate the (time averaged) energy density of an electromagnetic plane wave in a conducting medium (Eq. 9.138). Show that the magnetic contribution always dominates. (b) Show that the intensity...

An ideal diatomic gas, with rotation but no oscillation, undergoes an adiabatic compression. Its initial pressure and volume are 1 .20 atm and 0.200 m3. Its final pressure is 2.40 atm. How much work...

At t1 = 2.00 s, the acceleration of a particle in counterclockwise circular motion is (6.00 m/s2) i + (4.00 m/s2) j. It moves at constant speed. At time t2 = 5.00 s, its acceleration is (4.00 m/s2) i...

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