What are? (a) The speed and (b) The period of a 220 kg satellite in an approximately circular orbit 640 km above the surface of Earth? Suppose the satellite loses mechanical energy at the average...

A wall 2 cm thick is to be constructed from material that has an average thermal conductivity of 1.3 W/m C. The wall is to be insulated with material having an average thermal conductivity of 0.35...

A small block is at rest on the floor at the front of a railroad boxcar that has length L. The coefficient of kinetic friction between the floor of the car and the block is k. The car, originally at...

A uniform, spherical, l000.0-kg shell has a radius of 5.00 m. (a) Find the gravitational force this shell exerts on a 2.00-kg point mass placed at the following distances from the center of the...

Unpolarized light falls on two polarizer sheets whose transmission axes are at right angles. A third polarizer is placed between the first two so that its axis makes a 62o angle with the axis of the...

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.0 s, it rotates 25 rad. During that time, what are the magnitudes of (a) The angular acceleration...

A block is sliding on a frictionless surface along a loop-the-loop, as in Figure (a). The block is moving fast enough that it never loses contact with the track. Match the points along the track to...

Two identical uniform bricks of length L are placed in a stack over the edge of a horizontal surface with the maximum overhang possible without falling, as in Figure P12.24. Find the distance x....

What is the probability of finding a particle in a box of length L in the region between x = L/4 and x = 3L/4 when the particle is in (a) The ground level and (b) The first excited level? (c) Are...

(a) Find the speed of waves on a violin string of mass 800 mg and length 22.0 cm if the fundamental frequency is 920 Hz. (b) What is the tension in the string? For the fundamental, what is the...

A thermodynamic system is taken from state A to state B to state C., and then back to A, as shown in the p-V diagram of Figure a. The vertical scale is set by ps = 40Pa, and the horizontal scale is...

The laser in a CD player must precisely follow the spiral track, along which the distance between one loop of the spiral and the next is only about 1.25 /m. A feedback mechanism lets the player know...

A proton is in a box of width L. What must the width of the box be for the ground-level energy to be 5.0 MeV, a typical value for the energy with which the particles in a nucleus are bound? Compare...

A 100 W sodium lamp ( = 589 nm) radiates energy uniformly in all directions. (a) At what rate are photons emitted by the lamp? (b) At what distance from the lamp will a totally absorbing screen...

Two particles in a high-energy accelerator experiment approach each other head-on with a relative speed of 0.890c. Both particles travel at the same speed as measured in the laboratory. What is the...

Divalent ionic crystals Barium oxide has the NaC1 structure. Estimate the cohesive energies per molecule of the hypothetical crystals Ba + O and Ba ++ O referred to separated neutral atoms. The...

A puck of mass m = 1.50kg slides in a circle of radius r = 20.0 cm on a frictionless table while attached to a hanging cylinder of mass M = 2.50 kg by a cord through a hole in the table (Figure)....

The amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?

For an 84 kg person standing at the equator, what is the magnitude of the angular momentum about Earth's center due to Earth's rotation?

In Figure, R 1 = 6.00 , R 2 = 18.0 , and the ideal battery has emf = 12.0 V. What are the (a) Size and (b) Direction (left or right) of current i 1 ? (c) How much energy is dissipated by all four...

A Carnot engine has a power output of 150 kW. The engine operates between two reservoirs at 20.0C and 500C. (a) How much energy does it take in per hour? (b) How much energy is lost per hour in its...

A wedge with mass M rests on a frictionless horizontal tabletop. A block with mass m is placed on the wedge and a horizontal force F is applied to the wedge (Fig. S.84b). What must the magnitude of F...

If an f = 135-mm telephoto lens is designed to cover object distances from 1.2 m to 00, over what distance must the lens move relative to the plane of the film?

The wheel in Figure has eight equally spaced spokes and a radius of 30 cm. It is mounted on a fixed axle and is spinning at 2.5 rev/s. You want to shoot a 20-cm-long arrow parallel to this axle and...

The slope distance and zenith angle observed from point P to point Q were 2013.875 m and 95o 13' 04' , respectively. The instrument and rod target heights were equal. If the elevation of point P is...

Two known charges, -12.0 C and 45.0 C, and an unknown charge are located on the x axis. The charge -12.0 C is at the origin, and the charge 45.0 C is at x = 15.0 cm. The unknown charge is to be...

A simple harmonic oscillator at the point x = 0 generates a wave on a rope. The oscillator operates at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. The rope has a linear mass density of...

A metal bar, pivoted at one end, oscillates freely in the absence of a magnetic field, its oscillations are quickly damped out. Explain. (This magnetic damping is used in a number of practical...

Grains of fine California beach sand are approximately spheres with an average radius of 50m and are made of silicon dioxide, which has a density of 2600 kg/m3. What mass of sand grains would have a...

Two blocks of masses 1.0kg and 3.0 kg are connected by a spring and rest on a frictionless surface. They are given velocities toward each other such that the 1.0 kg block travels initially at 1.7m/s...

A house has well-insulated walls. It contains a volume of 100 m3 of air at 300 K. (a) Calculate the energy required to increase the temperature of this diatomic ideal gas by 1.00C. (b) What If? If...

Two slits spaced 0.450 mm apart are placed 75.0 cm from a screen. What is the distance between the second and third dark lines of the interference pattern on the screen when the slits are illuminated...

A spaceship lifts off vertically from the Moon, where g = 1.6 m/s2. If the ship has an upward acceleration of 1.0 m/s2 as it lifts off, what is the magnitude of the force exerted by the ship on its...

One mole of an ideal gas is heated slowly so that it goes from the PV state (Pi , Vi) to (3Pi, 3Vi) in such a way that the pressure is directly proportional to the volume. (a) How much work is done...

An electromagnetic wave in vacuum has an electric field amplitude of 220 V/m. Calculate the amplitude of the corresponding magnetic field.

The magnetic field B at the center of a circular coil of wire carrying a current l (as in Fig, 20-9) is Where N is the number of loops in the coil and r is its radius. Suppose that an electromagnet...

Compute your average velocity in the following two cases: (a) You walk 73.2 m at a speed of 1.22 m/s and then run 73.2 m at a speed of 3.05 m/s along a straight track. (b) You walk for 1.00 min at a...

In a lecture demonstration, an empty can is used to demonstrate the force exerted by air pressure (Fig. 9.35). A small quantity of water is poured into the can, and the water is brought to a boil....

Solve the preceding problem if the mass of the tail gate is MT = 27 kg and that of the crate is MC = 68 kg. Use dimensions H = 305 mm, L = 406 mm, dC = 460 mm, and dT = 350 mm. The cable...

Suppose that the current through a conductor decreases exponentially with time according to the equation I (t) = Ioe-t/r where I0 is the initial current (at t = 0), and + is a constant having...

Energy is to be stored in a 70.G-kg flywheel in the shape of a uniform solid disk with radius R = 1.20 m. To prevent structural failure of the flywheel, the maximum allowed radial acceleration of a...

In Figure a ball of mass m = 60 g is shot with speed vi = 22 m/s into the barrel of a spring gun of mass M = 240 g initially at rest on a frictionless surface. The ball sticks in the barrel at the...

A recruit can join the semi-secret "300 F" club at the Amundsen-Scott South Pole Station only when the outside temperature is below 70oC. On such a day, the recruit first basks in a hot sauna and...

Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in Figure. A linearly...

A certain toaster has a heating element made of Nichrome wire. When the toaster is first connected to a 120-V source (and the wire is at a temperature of 20.0C), the initial current is 1.80 A....

Show that the gravitational self-energy (energy of assembly piecewise from infinity) of a uniform sphere of mass M and radius R is 3 GM? 5 R

Find the force law for a central-force field that allows a particle to move in a spiral orbit given by r = k2, where k is a constant.

Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 6370 km. Satellite B is to orbit at an altitude...

(a) What is the current in a 5.60- resistor connected to a battery that has a 0.200- internal resistance if the terminal voltage of the battery is 10.0 V? (b) What is the emf of the battery?

Treat the problem of wave propagation along a string loaded with particles of two different masses, m and m, which alternate in placement; that is, Show that the w k curve has two branches in this...

Positive charge Q is uniformly distributed around a semicircle of radius a (Fig. 21.49). Find the electric field (magnitude and direction) at the center of curvature P.

A single-slit diffraction pattern is formed by monochromatic electromagnetic radiation from a distant source passing through a slit 0.105 mm wide. At the point in the pattern 3.250 from the center of...

What is the resistance of toaster if 120V produces a current of 4.2A?

A planet of density p1 (spherical core, radius R1) with a thick spherical cloud of dust (density p2, radius R2) is discovered. What is the force on a particle of mass m placed within the dust cloud?

In Figure ?a? both batteries have emf ? = 1.20 V and the external resistance R is a variable resistor. Figure ?b? gives the electric potentials 7 between the terminals of each battery as functions of...

In Figure, a uniform electric field E collapses. The vertical axis scale is set by E s = 6.0 x 103N/C, and the horizontal axis scale is set by E s = 12.0s. Calculate the magnitude of the displacement...

1. Find the total force on the bottom of a cylindrical water tower 55.0 m high and 7.53 m in radius. 2. Find the total force on the side of a cylindrical water tower 55.0 m high and 7.53 m in radius....

One cubic meter of atomic hydrogen at 0C and atmospheric pressure contains approximately 2.70 X 1025 atoms. The first excited state of the hydrogen atom has an energy of 10.2 eV above the lowest...

A circular curve of highway is designed for traffic moving at 60 km/h. Assume the traffic consists of cars without negative lift. (a) If the radius of the curve is 150 m, what is the correct angle of...

Figure shows a cold package of hot dogs sliding rightward across a frictionless floor through a distance d = 20.0 cm while three forces act on the package. Two of them are horizontal and have the...

Fight possesses momentum. This can be demonstrated with a radiometer, shown in the sketch. Metal vanes painted black on one side and white on the other are free to rotate around the point of a needle...

(a) For what frequencies does a 22.0-F capacitor have a reactance below 175 ? (b) What If? Over this same frequency range, what is the reactance of a 44.0-F capacitor?

Entering the Freeway a car sits in an entrance ramp to a freeway, waiting for a break in the traffic. The driver accelerates with constant acceleration along the ramp and onto the freeway. The car...

A force in the + x-direction has magnitude F = b/xn, where b and n are constants. (a) For n > 1, calculate the work done on a particle by this force when the particle moves along the x-axis from x =...

Squaw Valley ski area in California claims that its lifts can move 47,000 people per hour. If the average lift carries people about 200m (vertically) higher, estimate the power needed.

From what maximum height can a 75-kg person jump without breaking the lower leg bone of either leg? Ignore air resistance and assume the CM of the person moves a distance of 0.60 m from the standing...

An L-C circuit containing an 80.0-mH inductor and a 1.25-nF capacitor oscillates with a maximum current of 0.750 A. Calculate: (a) The maximum charge on the capacitor and (b) The oscillation...

A certain microscope is provided with objectives that have focal lengths of 16 mm, 4 mm, and 1.9 mm and with eyepieces that have angular magnifications of 5 x and l0 X. Each objective forms an image...

A certain radioactive (parent) nucleus transforms to a different (daughter) nucleus by emitting an electron and a neutrino. The parent nucleus was at rest at the origin of an xy coordinate system....

A simple harmonic oscillator consists of a block of mass 2.00 kg attached to a spring of spring constant 100 N/m. When t = 1.00 s, the position and velocity of the block are x = 0.129 m and v = 3.415...

A long, straight wire has fixed negative charge with a linear charge density of magnitude 3.6nC/m. The wire is to be enclosed by a coaxial, thin-walled non-conducting cylindrical shell of radius 1.5...

Two wires, parallel to a z axis and a distance 4r apart, carry equal currents i in opposite directions, as shown in Figure. A circular cylinder of radius r and length L has its axis on the z axis,...

An air-track cart with mass m1 = 0.32 kg and initial speed v0 = 0.85 m/s collides with and sticks to a second cart that is at rest initially. If the mass of the second cart is m2 = 0.44 kg, how much...

Later in our study of physics we will encounter quantities represented by (A X 11) C. (a) Prove that for any three vectors A, B, and C, A (B X c) = (A X B) C. (b) Calculate (A X B) C for the three...

Comparing Thermodynamic Processes In a cylinder, 1.20 mol of an ideal monatomic gas, initially at 3.60 X 105 Pa and 300 K, expands until its volume triples. Compute the work done by the gas if the...

A 30.0-cm long solenoid 1.25cm in diameter is to produce a field of 0.385 T at its center. How current should the solenoid carry if it has 975 turns of the wire?

How much energy would be required to break a helium nucleus into its constituents, two protons and two neutrons? The rest masses of a proton (including an electron), a neutron, and helium are,...

An electron has a de Broglie wavelength = 5.0 x 1010m. (a) What is its momentum? (b) What is its speed? (c) What voltage was needed to accelerate it to this speed?

A beam of light consisting of wavelengths from 460.0 nm to 640.0 nm is directed perpendicularly onto a diffraction grating with 160lines/mm. (a) What is the lowest order that is overlapped by another...

Fig. 13.27a shows a snapshot of a wave traveling on a rope, and Fig. 13.27b describes the position as a function of time of a point on the rope. (a) What is the amplitude of the traveling wave? (b)...

A triangular highway gutter (Figure P6.2.7) is designed to carry a discharge of 52 m3/min on a channel slope of 0.0016. The gutter is 0.8 m deep with one side vertical and one side sloped at m: I (H:...

On the way to the Moon the Apollo astronauts reached a point where the Moons gravitational pull became stronger than the Earths. (a) Determine the distance of this point from the center of the Earth....

Show that the difference between decibel levels B1 and B2 of a sound is related to the ratio of the distances r1 and r2 from the sound source by B2 B2 = 20 log (r1/r2)

(a) From the expression for E obtained in Problem 22.40, find the expressions for the electric potential V as a function of r, both inside and outside the cylinder. Let V = 0 at the surface of the...

How many moles of water are there in 1.000 L? How many molecules?

The isotope: 32/15P is produced by the reaction; n +? 32/15P + p. what must be the target nucleus?

A sinusoidal wave of angular frequency 1200 rad/s and amplitude 3.00 mm is sent along a cord with linear density 2.00 glm and tension 1200 N. (a) What is the average rate at which energy is...

On a printed circuit board, a relatively long straight conductor and a conducting rectangular loop lie in the same plane, as shown in Figure P31.9. Taking h = 0.400 mm, w = 1.30 mm, and L = 2.70 mm,...

A bookcase weighing 1500 N rests on a horizontal surface for which the coefficient of static friction is p = 0.40. The bookcase is 1.80 m tall and 2.00 m wide; its center of gravity is at its...

Compare Amperes law with the BiotSavart law. Which is more generally useful for calculating B for a current carrying conductor?

Figure shows a Geiger counter, a device used to detect ionizing radiation, which causes ionization of atoms. A thin, positively charged central wire is surrounded by a concentric, circular,...

A perfectly conducting flat screen occupies half of the x-y plane (i.e., x 0 and wave number ? is incident along the z axis from the region z 0. Let the coordinates of the observation point be (X, 0,...

Two small speakers emit sound waves of different frequencies. Speaker A has an output of 1.00 mW, and speaker B has an output of 1.50 mW. Determine the sound level (in dB) at point C (Fig. P17.31) if...

Two gravitating masses m1 and m2 (m1 + m2 = M) are separated by a distance r0 and released from rest. Show that when the separation is r ( 2G/1 2G/1

Estimate the observed wavelength for the 656-nm line in the Balmer series of hydrogen in the spectrum of a galaxy whose distance from us is (a) 1.0 x 106 ly, (b) 1.0 x 108 ly, (c) 1.0 x 1010 ly.

A rectangular loop of N closely packed turns is positioned near a long straight wire as shown in Figure. What is the mutual inductance M for the loop-wire combination if N = 100, a = 1.0cm, b = 8.0...

A common demonstration, illustrated in Figure P10.72, consists of a ball resting at one end of a uniform board of length l, hinged at the other end, and elevated at an angle θ. A light cup is...

A 5.00-m, 0.732-kg wire is used to suppose two uniform 235-N posts of equal length (Fig. 15.37). Assume that the wire is essentially horizontal and that the speed of sound is 344 m/s. A strong wind...

A 2.50 kg beverage can is thrown directly downward from a height of 4.00 m, with an initial speed of 3.00 m/s the at drag on the can is negligible. What is the kinetic energy of the can? (a) As it...

On July 10, 1996, a granite block broke away from a wall in Yosemite Valley and, as it began to slide down the wall, was launched into projectile motion. Seismic waves produced by its impact with the...