A diesel engine performs 2200 J of mechanical work and discards 4300 J of heat each cycle. (a) How much heat must be supplied to the engine in each cycle? (b) What is the thermal efficiency of the...

A wheel 33 cm in diameter accelerates uniformly from 240 rpm to 360 rpm in 6.5s. How far will a point on the edge of the wheel have traveled in this time?

In a photocell, ultraviolet (UV) light provides enough energy to some electrons in barium metal to eject them from a surface at high speed. See Fig. 17-33. To measure the maximum energy of the...

A real heat engine working between heat reservoirs at 970K and 650K produces 550J of work per cycle for a heat input of 2200 J. (a) Compare the efficiency of this real engine to that of an ideal...

Figure shows a cycle undergone by 1.00 mol of an ideal monatomic gas. The temperatures are T1 = 300 K, T2 = 600 K, and T3 = 455 K. For 1 ? 2, what are?(a) Heat Q,(b) The change in internal energy...

A shower stall measures 86.0 cm X 86.0 cm X 210 cm. If you were singing in this shower, which frequencies would sound the richest (because of resonance)? Assume that the stall acts as a pipe closed...

The maximum gauge pressure in a hydraulic lift is 17.0atm. What is the largest size vehicle (kg) it can lift if the diameter of the output line is 28.0cm?

A CD case slides along a floor in the positive direction of an x axis while an applied force Fa acts on the case. The force is directed along the x axis and has the x component Fax = 9x 3x2, with x...

In Figure puck 1, of mass m1 = 0.20 kg is sent sliding across a frictionless lab bench, to undergo a one-dimensional elastic collision with stationary puck 2. Puck 2 then slides off the bench and...

A ladder of length L and mass M has its bottom end attached to the ground by a pivot. It makes an angle ? with the horizontal, and is held up by a massless stick of length ? which is also attached to...

Consider the sleeve made from two copper tubes joined by tin-lead solder over distance s. The sleeve has brass caps at both ends, which are held in place by a steel bolt and washer with the nut...

A 1.00-mol sample of air (a diatomic ideal gas) at 300 K, confined in a cylinder under a heavy piston, occupies a volume of 5.00 L. Determine the final volume of the gas after 4.40 kJ of energy is...

Standing-wave vibrations are set up in a crystal goblet with four nodes and four antinodes equally spaced around the 20.0-cm circumference of its rim. If transverse waves move around the glass at 900...

Deflection in a CRT Cathode ray tubes (CRTs) are often found in oscilloscopes and computer monitors. In Fig an electron with an initial speed of 6.50 X 106 m/s is projected along he axis midway...

Figure shows an 8.00 kg stone at rest on a spring. The spring is compressed 10.0 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 30.0 cm and released....

Figure shows a horizontal uniform beam of mass m6 and length L that is supported on the left by a hinge attached to a wall and on the right by a cable at angle with the horizontal A package of mass...

A very long cylinder of radius 2.00 cm carries a uniform charge density of 1.50nC/m. (a) Describe the shape of the equipotential surfaces for this cylinder. (b) Taking the reference level for the...

If a solid cylinder of glass or clear plastic is placed above the words LEAD OXIDE and viewed from above as shown in Figure Q36.9, the LEAD appears inverted but the OXIDE does not. Explain. LEAD...

How much work is required to stop an electron (m = 9.11 x 10-31 kg) which is moving with a speed of 1.90 x 106 m/s?

How fast (in rpm) must a centrifuge rotate if a particle 7.0 cm from the axis of rotation is to experience an acceleration of 100,000 gs)?

A large flat horizontal sheet of charge has a charge per unit area of 9.00 %C/m2. Find the electric field just above the middle of the sheet.

The mechanism shown in Fig. 10.53 is used to raise a crate of supplies from a ship's hold. The crate has total mass 50 kg. A rope is wrapped I' around a wooden cylinder that turns on a metal axle....

Consider a Diesel cycle that starts (at point a in Fig. 20.7) with air at temperature Ta. The air may be treated as an ideal gas. (a) If the temperature at point c is Tc derive an expression for the...

(a) What is the angular momentum of a figure skater spinning at 3.5 rev/s with arms in close to her body, assuming her to be a uniform cylinder with a height of 1.5m, a radius of 15cm, and a mass of...

How many lines per centimeter does a grating have if the third-order occurs at an 18.0o angle for 630-nm light?

A person makes a quantity of iced tea by mixing 500 g of hot tea (essentially water) with an equal mass of ice at its melting point. Assume the mixture has negligible energy exchanges with its...

Just 9.00 g of water is placed in a 2.00-L pressure cooker and heated to 500C. What is the pressure inside the container?

Helmboltz Coils. Fig. is a sectional view of two circular coils with radius a, each wound with N turns of wire carrying a current I, circulating in the same direction in both coils. The coils are...

Laser light of wavelength 6328 nm falls normally on a slit that is 0.0250 mm wide the transmitted light is viewed on a distant screen where the intensity at the center of the central bright fringe is...

A physicist wishes to produce electromagnetic waves of frequency 3.0 THz (1 THz = 1 terahertz = 1012 Hz) using a magnetron (see Example 27.3). (a) What magnetic field would be required? Compare this...

A crane has hoisted a 1200-kg car at the junkyard. The steel crane cable is 22m long and has a diameter of 6.4 mm. A breeze starts the car bouncing at the end of the cable. What is the period of the...

Phased-Array Radar in one common type of radar installation, a rotating antenna sweeps a radio beam around the sky. But in a phased-array radar system, the antennas remain stationary and the beam is...

Construct a vector function that has zero divergence and zero cud everywhere. (A constant will do the job, of course, but make it something a little more interesting than that!)

A large fake cookie sliding on a horizontal surface is attached to one end of a horizontal spring with spring constant k = 400 N/m; the other end of the spring is fixed in place. The cookie has a...

In Figure a solid ball rolls smoothly from rest (starting at height H = 6.0 m) until it leaves the horizontal section at the end of the track, at height h = 2.0 m. How far horizontally from point A...

A lightning bolt may carry a current of 1.00 x 104 A for a short period of time. What is the resulting magnetic field 100 m from the bolt? Suppose that the bolt extends far above and below the point...

Consider again the rope and traveling wave of Exercise 15.24. Assume that the ends of the rope are held fixed and that this traveling wave and the reflected wave are traveling in the opposite...

Moving Source vs. Moving Listener. (a) A sound source producing 1.00-kHz waves moves toward a stationary listener at one-half the speed of sound. What frequency will the listener hear? (b) Suppose...

A 25-kg object is being lifted by pulling on the ends of a 1.00-mm-diameter nylon string that goes over two 3.00-m-high poles that are 4.0m apart, as shown in Fig, 9.87. How high above the floor will...

Consider an infinitely long continuous string with linear mass density p1 for x < 0 and for x > L, but density p2 > p1 for 0 < x < L. If a wave train oscillating with an angular frequency w is...

A particle moves according to the equation x = 10 t 2 where x is in meters and t is in seconds (a) Find the average velocity for the time interval from 2.00 to 3.00 s. (b) Find the average velocity...

A ball starts from rest and accelerates at 0.500 m/s2 while moving down an inclined plane 9.00 m long. When it reaches the bottom, the ball rolls up another plane, where, after moving 15.0 m, it...

The ammeter shown in Figure P28.20 reads 2.00 A. Find I1, I2, and ∑ 7.00 12 15.0 V 5.00 2.00 , e

A particular galvanometer serves as a 2.00-V full-scale voltmeter when a 2 500- resistor is connected in series with it. It serves as a 0.500-A full-scale ammeter when a 0.220- resistor is connected...

A positive point charge q is placed on the +y-axis at y = a, and a negative point charge q is placed on the -y-axis at y = -a. A negative point charge - Q is located at some point on the + x-axis....

Estimate the resistance of the 120-Vrms circuits in your house as seen by the power company, when (a) Everything electrical is unplugged, and (b) There is a long 75-W lightbulb burning.

A typical sugar cube has an edge length of 1 cm. If you had a cubical box that contained a mole of sugar cubes, what would its edge length be? (One mole = 6.02 x 1023 units.)

In Figure a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to...

The density of the Earth, at any distance r from its center, is approximately p = [14.2 11.6(r/R)] X 103 kg/m3 Where R is the radius of the Earth, Show that this density leads to a moment of inertia...

A Voice Coil It was shown in Section 27.7 that the net force on a current loop in a uniform magnetic field is zero. The magnetic force on the voice coil of a loudspeaker (see Fig) is nonzero because...

A certain dog whistle operates at 23.5 kHz, while another (brand X) operates at an unknown frequency. If neither whistle can be heard by humans when played separately, but a shrill whine of frequency...

A particle of mass m is constrained to move under gravity with no friction on the surface xy = z. What is the trajectory of the particle if it starts from rest at (x, y, z) = (1, 1, 1) with the...

Suppose a particle of mass m is confined to a one-dimensional box of width L. According to quantum theory the particles wave (with = h/mv) is a standing wave with nodes at the edges of the box. (a)...

(a) An infinitely long solid conductor of radius a is placed along the z-axis. If the conductor carries current I in the + z direction, show that within the conductor. Find the corresponding current...

Given that B = 6xa x ? 9ya y + 3za z Wb/m 2 , find the total force experienced by the rectangular loop (on z = 0 plane) shown in figure. 3.

One side of the roof of a building slopes up at 37.0. A student throws a Frisbee onto the roof. It strikes with a speed of 15.0 m/s and does not bounce, but slides straight up the incline. The...

Determine (a) the capacitance and (b) The maximum potential difference that can be applied to a Teflon-filled parallel-plate capacitor having a plate area of 1.75 cm2 and plate separation of 0.040 0...

The Force on a bullet is given by the formula F = 580 (1.8 x 10)t over the time interval t = 0 to t = 3.0 x 10-3s. In this formula, t is in seconds and F is in newtons. (a) Plot a graph of F vs f...

An inverted hemispherical bowl of radius R carries a uniform surface charge density . Find the potential difference between the "noah pole" and the center.

A small solid sphere with radius 0.25 cm and mass 0.56 g rolls without slipping on the inside of a large fixed hemisphere with radius 15 cm and a vertical axis of symmetry. The sphere starts at the...

Figure shows a thin rod, of length L = 2.00 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A ball of mass m = 5.00 kg is attached to the other end. The rod is...

Assume that lasers are available whose wavelengths can be precisely "tuned" to anywhere in the visible range-that is, in the range 450 nm < < 650 nm. If every television channel occupies a bandwidth...

You are three friends stand at the comers of a square whose sides are S.O m long in the middle of the gym floor, as shown in Fig. 7.26. You rake your physics book and push it from one person to the...

Planets are not uniform inside. Normally, they are densest at the center and have decreasing density outward toward the surface. Model a spherically symmetric planet, with the same radius as the...

Suppose that you wish to construct a telescope that can resolve features 7.0km across on the moon.383, 000 km away. You have a 2.0-m-focal-length objective lens whose diameter is 11.0cm. what focal...

Suppose a news report stated that starship enterprise had just returned from a 5-year voyage while traveling at 0.84c. (a) If the repot meant 5.0 years earth time. How much time elapsed on the ship?...

A 2.0 kg breadbox on a frictionless incline of angle = 40 is connected, by a cord that runs over a pulley, to a light spring of spring constant k = 120 N/m , as shown in Figure. The box is released...

In a stunt being filmed for a movie, a sports car overtakes a truck towing a ramp, drives up and off the ramp, soars into the air, and then lands on top of a flat trailer being towed by a second...

A heavy flywheel rotating on its central axis is slowing down because of friction in its bearings. At the end of the first minute of slowing, its angular speed is 0.900 of its initial angular speed...

A thin, uniform rod is hinged at its midpoint. To begin with, one-half of the rod is bent upward and is perpendicular to the other half. This bent object is rotating at an angular velocity of 9.0...

A pendulum, comprising a string of length L and a small sphere, swings in the vertical plane. The string hits a peg located a distance d below the point of suspension (Fig. P8.72) (a) Show that if...

A loudspeaker diaphragm is oscillating in simple harmonic motion with a frequency of 440 Hz and a maximum displacement of 0.75 mm. What are the (a) Angular frequency, (b) Maximum speed, and (c)...

Consider the following combinations of signs and values for velocity and acceleration of a particle with respect to a one-dimensional x axis: Velocity Acceleration a. Positive Positive b. Positive...

A child on vacation wakes up. She is lying on her back. The tension in the muscles on both sides of her neck is 55.0 N as she raises her head to look past her toes and out the motel window. Finally...

The stream of water from a faucet decreases in diameter as it falls (Fig. 10-47). Derive abd equation for the diameter of the stream as a function of the distance y below the faucet, given that the...

An 80-mm-focal-length lens is used to focus an image on the film of a camera. The maximum distance allowed between the lens and the film plane is 120 mm. (a) How far ahead of the film should the lens...

A particle falls to Earth starting from rest at a great height (many times Earths radius). Neglect air resistance and show that the particle requires approximately 9/11 of the total time of fall to...

A gyroscope flywheel of radius 2.83 cm is accelerated from rest at l4.2 rad/s2 until its angular speed is 2760 rev/min. (a) What is the tangential acceleration of a point on the rim of the flywheel...

At one location on the Earth, the rms value of the magnetic field caused by solar radiation is 1.80 T. From this value calculate (a) The rms electric field due to solar radiation, (b) The average...

The Silently Ringing Bell Problem a large bell is hung from a wooden beam so it can swing back and forth with negligible friction. The center of mass of the bell is 0.60 m below the pivot; the bell...

A small sphere of radius R is arranged to pulsate so that its radius varies in simple harmonic motion between a minimum of R - R and a maximum of R + R with frequency f- This produces sound waves in...

A double pendulum consists of two simple pendula, with on pendulum suspended from the bob of the other. If the two pendula have equal lengths and have bobs of equal mass and if both pendula are...

Figure shows transverse acceleration ay versus time t of the point on a string at x = 0, as a wave written in the form y(x, t) = ym sin (kx ?? wt + ?) passes through that point. The scale of the...

A 2.00-m-long cylindrical steel wire with a cross-sectional diameter of 4.00 mm is placed over a light frictionless pulley, with one end of the wire connected to a 5.00-kg object and the other end...

A point charge of mass 0.210kg, and net charge + 0.340μC hangs at rest at the end of an insulating string above a large sheet of charge. The horizontal sheet of uniform charge creates a uniform...

You look down at a coin that lies at the bottom of a pool of liquid of depth d and index of refraction n (Figure). Because you view with two eyes, which intercept different rays of light from the...

A borosilicate glass (82% SiO2, 2% Al2O3, 4% Na2O, 12% B2O3) has a density of 2.23 g/cm3, while a fused silica glass (assume 100% SiO2) has a density of g/cm3. Explain why the density of the...

A wire carrying a current I is bent into the shape of an exponential spiral, r = eθ, from θ = 0 to θ = 2π as suggested in Figure P30.69. To complete a loop, the ends of the...

(a) What is the escape speed on a spherical asteroid whose radius is 500 km and whose gravitational acceleration at the surface is 3.0 m/s2? (b) How far from the surface will a particle go if it...

A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on...

The particle P travels with a constant speed of 300 mm/s along the curve. Determine its acceleration when it is located at point (200 mm, 100 mm). y (mm) 2010) 9 x (mm)

Two metal disks, one with radius R, = 2.50 cm and mass M, = 0.80 kg and the other with radius R2 = 5.00 cm and mass M, = 1.60 kg, are welded together and mounted on a frictionless axis through their...

Consider the circuit of Fig. (a) What is the total rate at which electrical energy is dissipated in the 5.00- and 9.00- resistors? (b) What is the power output of the 16.0-V battery? (c) At what rate...

How does the number of atoms in a 26.5-gram gold ring compare to the number in a silver ring of the same mass?

Find the center of mass of a uniform wire that subtends an arc θ if the radius of the circular arc is a, as shown in Figure 9-A DIN

A certain string can withstand a maximum tension of 40 N without breaking. A child ties a 0.37 kg stone to one end and, holding the other end, whirls the stone in a vertical circle of radius 0.91 m,...

Two astronauts (Fig P11.51), each having a mass of 75.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.00 m/s....

(a) Prove that a projectile launched at angle ao has the same horizontal range as one launched with the same speed at angle (90o - ao). (b) A frog jumps at as peed of22 m/s and lands 25 cm from its...

A string can have a free end if that end is attached to a ring that can slide without friction on a vertical pole (Fig. 11-57). Determine the wavelengths of the resonant vibrations of such a string...

When a small 2.0 g coin is placed at a radius of 5.0 cm on a horizontal turntable that makes three full revolutions in 3.14 s, the coin does not slip. What are? (a) The coin's speed, the (b)...