(a) A luggage carousel at an airport has the form of a section of a large cone, steadily rotating about its vertical axis. Its metallic surface slopes downward toward the outside, making an angle of...

The water in a river flows uniformly at a constant speed of 2.50 m/s between parallel banks 80.0 m apart. You are to deliver a package directly across the river, but you can swim only at 1.50 m/s....

Leg Presses. As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arranged side by side so that they are parallel to each...

During a test dive in 1939, prior to being accepted by the U.S. Navy, the submarine Squalus sank at a point where the depth of water was 73.0 m. The temperature at the surface was27.0oC, and at the...

A particle moves in the xy-plane. Its coordinates are given as functions of time by x(t) = R (wt sin wt) y(t) = R (1 cos wt) where Rand", are constants. (a) Sketch the trajectory of the particle....

An organ pipe it 112 cm long. What are the fundamental and first three audible overtones if the pipe is? (a) Closed at one end, and (b) Open at both ends?

Three astronauts, propelled by jet backpacks, push and guide a 120 kg asteroid toward a processing dock, exerting the forces shown in Figure, with F1 = 32N, F2 = 55N, F3 = 41N, 1 = 30o, and 3 = 60o....

A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in Figure; the v-axis scale is set by vs =...

A solid uniform 45.0-kg ball of diameter 32.0 cm is supported against a vertical frictionless wall using a thin 30.0-cm wire of negligible mass, as shown in Fig. 5.47. (a) Make a free-body diagram...

Positive charge Q is distributed uniformly along the x-axis from x = 0 to x = a. A positive point charge q is located on the positive x-axis at x = a + r, a distance, to the right of the end of Q...

A cyclist intends to cycle up a 7.8o hill whose vertical height is 150m. Assuming the mass of bicycle plus cyclist is 75kg, (a) Calculate how much work must be done against gravity. (b) If each...

A block rides on a piston that is moving vertically with simple harmonic motion. (a) If the SHM has period 1.0 s, at what amplitude of motion will the block and piston separate? (b) If the piston has...

A fire helicopter carries a 620-kg bucket at the end of a cable 20.0 m long as in Figure P6.36. As the helicopter flies to a fire at a constant speed of 40.0 m/s, the cable makes an angle of 40.0...

Weightiess Ant. An ant with mass m is standing peacefully on top of a horizontal. stretched rope. The rope has mass per unit length and is under tension F. Without warning, Cousin Throckmorton...

A Carnot engine whose high-temperature reservoir is at 620 K takes in 550 J of heat at this temperature in each cycle and gives up 335 J to the low-temperature reservoir. (a) How much mechanical work...

For the beams shown in Figures P4-21 through P4-26, determine the nodal displacements and slopes, the forces in each element, and the reactions. Figure P4-21 Figure P4-22 Figure P4-23 Figure P4-24...

A 20.0-kg block is connected to a 30.0-kg block by a string that passes over a light frictionless pulley. The 30.0-kg block is connected to a spring that has negligible mass and a force constant of...

An old oaken bucket of mass 6.75 kg hangs in a well at the end of a rope. The rope passes over a frictionless pulley at the top of the well, and you pull horizontally on the end of the rope to raise...

A 12-kg hammer strikes a nail at a velocity of 8.5 m/s and comes to rest in a time interval of 8.0ms. (a) What is the impulse given to the nail? (b) What is the average force acting on the nail?

A copper pipe has an inside diameter of 3.00cm and an outside diameter of 5.00cm (Fig. 18-37). What is the resistance of 10.0m of this pipe? 3.00 cm 5.00 cm IF

A thin film of oil (n = 1.25) is located on a smooth wet pavement. When viewed perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no blue light at 512 nm....

Penguin huddling to withstand the harsh weather of the Antarctic, emperor penguins huddles in groups (Figure) assume that a penguin is a circular cylinder with a top surface area a = 0.34 m2 and...

Sir Lancelot rides slowly out of the castle at Camelot and onto the 12.0-m-long drawbridge that passes over the moat (Fig. 11.34). Unbeknownst to him, his enemies have partially severed the vertical...

(a) An 16O nucleus (charge +8e) moving horizontally from west to east with a speed of 500 km/s experiences a magnetic force of 0.00320 nN vertically downward. Find the magnitude and direction of the...

A particle moves in a medium under the influence of a retarding force equal to mk(v3 + a2v), where k and a are constants. Show that for any value of the initial speed the particle will never move a...

In Figure a car is driven at constant speed over a circular hill and then into a circular valley with the same radius. At the top of the hill, the normal force on the driver from the car seat is 0....

Each year thousands of children are badly burned by hot tap water. Figure P19.12 shows a cross-sectional view of an anti scalding faucet attachment designed to prevent such accidents. Within the...

Four people, each with a mass of 72.4 kg, are in a car with a mass of 1 130 kg. An earthquake strikes. The driver manages to pull off the road and stop, as the vertical oscillations of the ground...

A typical flying insect applies an average force equal to twice its weight during each downward stroke while hovering. Take the mass of the insect to be 10 g, and assume the wings move an average...

(a) Show that the skin depth in a poor conductor ( < < w) is (2/)/ (independent of frequency). Find the skin depth (in meters) for (pure) water. (b) Show that the skin depth in a good conductor ( >>...

In Figure one end of a uniform beam of weight 222 N is hinged to a wall; the other end is supported by a wire that makes angles = 30.0?s with both wall and beam. Find (a) The tension in the wire and...

Every few hundred years most of the up on the same side of the Sun. Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line (Fig. 5-38). The...

About 0.1eV is required to break hydrogen bond in a protein molecule. Calculate the minimum frequency and maximum wavelength of a photon that can accomplish this.

In state-of-the-art vacuum systems, pressures as low as 10-9 Pa are being attained. Calculate the number of molecules in a 1.00-m3 vessel at this pressure if the temperature is 27.0C.

A loaded grocery cart is rolling across a parking lot in a strong wind. You apply a constant force F = (30N)i - (40N)j to the cart as it undergoes a displacement 1 = (-9.0m)i - (3.0m)j. How much work...

(a) Complete the following nuclear reaction, p +? 32/16S + y (b) What is the Q-value?

Figure P36.40 shows a thin glass (n = 1.50) converging lens for which the radii of curvature are R1 = 15.0 cm and R2 = -12.0 cm. To the left of the lens is a cube having a face area of 100 cm2. The...

You buy a "gold" ring at a pawn shop. The ring has a mass of 4.7 g and a volume of 0.55 cm3. Is the ring solid gold?

A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (Fig. P29.15) that are d = 12.0 cm apart and L = 45.0 cm long. The rod carries a current of I = 48.0 A (in the direction shown)...

Calculate the mass m needed in order to suspend the leg shown in Fig. 9-43. Assume the leg (with cast) has a mass of 15.0 kg, and its CG is 35.0cm from the hip joint; the sling is 80.5 cm from the...

Consider the following two-step process. Heat is allowed to flow out of an ideal gas at constant volume so that its pressure drops from 2.2atm to 1.4atm. Then the gas expands at constant pressure,...

A cube 10.0 cm on each edge contains air (with equivalent molar mass 28.9 g/mol) at atmospheric pressure and temperature 300 K. Find (a) The mass of the gas, (b) its weight, and (c) The force it...

In intravenous feeding, a needle is inserted in a vein in the patient's arm and a tube leads from the needle to a reservoir of fluid (density 1050 kg/m') located at height h above the arm. The top of...

(a) What is the approximate radius of a 64/29Cu nucleus? (b) Approximately what is the value of A for a nucleus whose radius is 3.9 X 1015 m?

Two vectors are given by a = 3.0i + 5.0j and b = 2.0i + 4.0i. Find (a) a x b, (b) a b, (c) (a + b) b, and (d) The component of a along the direction of 6.

The cycle in Figure represents the operation of a gasoline internal combustion engine. Volume V3 = 4.00V1. Assume the gasoline - air intake mixture is an ideal gas with = 1.30 what are the ratios...

A small bar magnet is suspended in a uniform 0.250-T magnetic field. The maximum torque experienced by the bar magnet is 4.60 x 10-3 Nm. Calculate the magnetic moment of the bar magnet.

A 1.30-kg toaster is not plugged in. The coefficient of static friction between the toaster and a horizontal countertop is 0.350. To make the toaster start moving, you carelessly pull on its electric...

A marble column of cross-sectional area 1.2m2 supports a mass of 25,000kg. (a) What is the stress within the column? (b) What is the strain?

A copper cube measures 6.00 cm on each side. The bottom face is held in place by very strong glue to a flat horizontal surface, while a horizontal force F is applied to the upper face parallel to one...

Standing sound waves are produced in a pipe that is 1.20 m long. For the fundamental and first two overtones, determine the locations along the pipe (measured from the left end) of the displace...

A 65-kg ice skater coasts with no effort for 75 m until she stops. If the coefficient of kinetic friction between her skates and the ice is k = 0.10, how fast was she moving at the start of her coast?

Magnetar on December 27, 2004, astronomers observed the greatest lash of light ever recorded from outside the solar system. It came from the highly magnetic neutron star SGR 1806-20 (a magnetar)....

If the total charge inside a closed surface is known but the distribution of the charge is unspecified, can you use Gausss law to find the electric field? Explain.

Magnon dispersion relation derive the magnon dispersion relation (24) for a spin S on a simple cubic lattice, z = 6 is replaced by where the central atom is at p and the six nearest neighbors arc...

An experimenter arranges to trigger two flashbulbs simultaneously, producing a big flash located at the origin of his reference frame and a small flash at x = 30.0 km. An observer moving at a speed...

A proton accelerates from rest in a uniform electric field of 640 N/C. At some later time, its speed is 1.20 x 106 m/s (non-relativistic, because v is much less than the speed of light). (a) Find the...

Collision the engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200 m ahead on the same track (Fig. 2.47). The freight train is traveling at 15.0 m/s in the...

A freezer has a coefficient of performance of 2.40. The freezer is to convent 1.80 kg of water at 25.0oC to 1.80 kg of ice at -5.0oC in hour. (a) What amount of heat must he remove from the water at...

Point charges q1 = -4.5 nC and q2 = +4.5 nC are separated by 3.1 mm, forming an electric dipole. (a) Find the electric dipole moment (magnitude and direction). (b) The charges are in a uniform...

A 2.00-kg mass vibrates according to the equation x = 0.650 cos 7.40t, where x is in meters and t in seconds. Determine (a) The amplitude, (b) The frequency (c) The total energy, and (d) The kinetic...

A gasoline engine receives air at 10 C, 100 kPa, having a compression ratio of 9:1 by volume. The heat addition by combustion gives the highest temperature as 2500 K. use cold air properties to find...

A 4.00-g bullet, traveling horizontally with a velocity of magnitude 400 m/s, is fired into a wooden block with mass 0.800 kg, initially at rest on a level surface. The bullet passes through the...

An infinitely long line of charge has linear charge density 5.00 X 10-12 C/m. A proton (mass 1.67 X 10-27 kg, charge + 1.60 X 10-19 C) is 18.0 cm from the line and moving directly toward the line at...

A nylon string on a tennis racket is under a tension of 25 N. If its diameter is 1.00 mm, by how much is it lengthened from its un-tensioned length of 30.0cm?

A force of 5.0 N acts on a 15 kg body initially at rest. Compute the work done by the force in (a) The first, (b) The second, and (c) The third seconds and (d) The instantaneous power due to the...

A2.75-kg cat moves in a straight line (the x-axis). Figure 4.34 shows a graph of the x-component of this cat's velocity as a function of time. (a) Find the maximum net force on this cat. When does...

A person is placed in a large hollow metallic sphere that is insulated from ground. If a large charge is placed on the sphere, will the person be harmed upon touching the inside of the sphere?...

Light with wavelength 442 nm passes through a double-slit system that has a slit separation d = 0.400 mm. Determine how far away a screen must be placed in order that a dark fringe appear directly...

A scallop forces open its shell with an elastic material called abduction, whose Youngs modulus is about 2.0 X 106 N/m2. If the piece of abduction is 3.0 mm thick and has a cross-sectional area of...

A uniform rope of total length 2a hangs in equilibrium over a smooth nail. A very small impulse causes the rope to slowly roll off the nail. Find the velocity of the rope as it just clears the nail....

A parallel beam of light in air makes an angle of 47.5o with the surface of a glass plate having a refractive index of 1.66. (a) What is the angle between the reflected part of the beam and the...

A solenoid 25.0 cm long and with a cross-sectional area of 0.500 cm2 contains 400 turns of wire and carries a current of 80.0 A. Calculate: (a) The magnetic field in the solenoid; (b) The energy...

In a vacuum diode, electrons are "boiled" off a hot cathode, at potential zero, and accelerated across a gap to the anode, which is held at positive potential V 0 . The cloud of moving electrons...

A force F = (4xi + 3yj) N acts on an object as the object moves in the x direction from the origin to x = 5.00 m. Find the work = F dx done on the object by the force.

Two objects are connected by a light string passing over a light frictionless pulley as in Figure P8.13. The object of mass m1 is released from rest at height h. using the principle of conservation...

The Sacramento City Council recently adopted a law to reduce the allowed sound intensity level of the much despised leaf blowers from their current level of about 95 dB to 70 dB. With the new law,...

Find the capacitance per unit length of two coaxial metal cylindrical tubes, of radii a and b (Fig.2.53).

The acceleration of a particle moving only on a horizontal xy plane is given by a = 3ti + 4tj, where a is in meters per second-squared and t is in seconds. At t = 0, the position vector r = (20.0m)i...

A pump is to lift 18.0kg of water per minute through a height of 3.60 m. What output rating (watts) should the pump motor have?

A spherical balloon has a radius of 7.35 m and is filled with helium. How large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of 930 kg? Neglect the buoyant...

Figure shows a box of dirty money (mass m 1 = 3.0 kg) on a frictionless plane inclined at angle 1 = 30?. The box is connected via a cord of negligible mass to a box of laundered money (mass m 2 =...

In Figure a block of ice slides down a frictionless ramp at angle = 50o while an ice worker pulls on the block (via a rope) with a force Fr that has a magnitude of 50N and is directed up the ramp....

A 1.00-kg iron horseshoe is taken from a forge at 900C and dropped into 4.00 kg of water at 10.0C. Assuming that no energy is lost by heat to the surroundings, determine the total entropy change of...

A loaded ore car has a mass of 950 kg and rolls on rails with negligible friction. It starts from rest and is pulled up a mine shaft by a cable connected to a winch. The shaft is inclined at 30.0...

On the planet Newtonia a simple pendulum having a bob with mass 1.25 kg and a length of 185.0 cm takes 1.42 s, when released from rest, to swing through an angle of 12.5, where it again has zero...

At an altitude of 11,000 m (a typical cruising altitude for a jet airliner), the air temperature is - 56.5C and the air density is 0.364 kg/m3. What is the pressure of the atmosphere at that...

A student wants to determine the distance from the lakeshore to a small island (Fig. 1.23). He first draws a 50-m line parallel to the shore. Then, he goes to the ends of the line and measures the...

The biggest stuffed animal in the world is a snake 420 m long, constructed by Norwegian children. Suppose the snake is laid out in a park as shown in Figure P3.54, forming two straight sides of a...

A copper transmission cable 100 km long and 10.0 cm in diameter carries a current of 125 A. (a) What is the potential drop across the cable? (b) How much electrical energy is dissipated as thermal...

A 75-kg adult sits at one end of a 9.0-m-long board. His 25-kg child sits on the other end. (a) Where should the pivot be placed so that the board is balanced, ignoring the boards mass? (b) Find the...

A coil 4.00 cm in radius, containing 500 turns, is placed in a uniform magnetic field that varies with time according to B = (0.0120 T/s)t + (3.00 x 10 -5 T/s 4 )t 4 . The coil is connected to a...

Mass M is distributed uniformly over a disk of radius a. Find the gravitational force (magnitude and direction) between this disk-shaped mass and a particle with mass m located a distance x above the...

Convert 35 mi/h to (a) km/h, (b) m/s, and (c) ft/s

An electron starts from rest 32.5 cm from a fixed point charge with Q = - 0.125C. How fast will the electron be moving when it is very far away?

The inclined ladder AB supports a house painter (82 kg) at C and the self weight (q = 36 N/m) of the ladder itself. Each ladder rail (tr = 4 mm) is supported by a shoe (ts = 5 mm) which is attached...

A treetop satellite (Fig P13.35) moves in a circular orbit just above the surface of a planet, assumed to offer no air resistance. Show that its orbital speed v and the escape speed from the planet...

A force of 160 N stretches a spring 0.050 m beyond its unscratched length (a) What magnitude of force is required to stretch the spring 0.015 m beyond its unscratched length? To compress the spring...

A firehouse must be able to shoot water to the top of a building 35.0 m tall when aimed straight up. Water enters this hose at a steady rate of 0.500 m'/s and shoots out of a round nozzle. (a) What...

A water droplet of radius 0.018 mm remains stationary in the air. If the downward-directed electric field of the Earth is 150N/C, how many excess electron charges must the water droplet have?