Hyper gravity at its Ames Research Center, NASA uses its large ''2().G" centrifuge to test the effects of very large accelerations (''hyper gravity'') on test pilots and astronauts. In this device,...

The tires of a car make 65 revolutions as the car reduces its speed uniformly from 95km/h to 45 km/h. The tires have diameter of 0.80m. (a) What was the angular acceleration of the tires? (b) If the...

The 10-lb projectile is fired from ground level with an initial velocity of vA = 80 ft/s in the direction shown. When it reaches its highest point B it explodes into two 5-lb fragments. If one...

A sled is initially given a shove up a frictionless 28.0o incline. It reaches a maximum vertical height 1.35m higher than where it started. What was its initial speed?

A uniform ladder is 10 m long and weighs 200 N. In Figure the ladder leans against a vertical, frictionless wall at height h = 8.0 m above the ground. A horizontal force F is applied to the ladder at...

Unpolarized light passes through five successive Polaroid sheets, each of whose axis makes a 45o angle with the previous one. What is the intensity of the transmitted beam?

The magnitudes of the radii of curvature are 32.5 cm and 42.5 cm for the two faces of a biconcave lens. The glass has index of refraction 1.53 for violet light and 1.51 for red light. For a very...

If an electrons position can be measured to an accuracy of 2.0 x 108 m, how accurately can its speed be known?

A uniform helicopter rotor blade is 7.80 m long, has a mass of 110 kg, and is attached to the rotor axle by a single bolt. (a) What is the magnitude of the force on the bolt from the axle when the...

In Figure a uniform beam of weight 500 N and length 3.0 m is suspended horizontally. On the left it is hinged to a wall on the right it is supported by a cable bolted to the wall at distance D above...

1. Find the mechanical work equivalent (in J) of 8550 cal of heat. 2. Find the heat equivalent (in Btu) of 3.46 x 106 ft lb of work. 3. Find the heat equivalent (in kcal) of 7.63 x 105 J of work. 4....

A bullet of mass m is fired into a block of mass M initially at rest at the edge of a frictionless table of height h (Fig. P9.58). The bullet remains in the block, and after impact the block lands a...

On your first day at work for an appliance manufacturer, you are told to figure out what to do to the period of rotation during a washer spin cycle to triple the centripetal acceleration. You impress...

During an adiabatic expansion the temperature of 0.450 mol of argon (Ar) drops from 50.0oC to 10.0C. The argon may he treated as an ideal gas. (a) Draw a pV-diagram for this process. (b) How much...

On an icy day, you worry about parking your car in you driveway, which has an incline of 12o. Your neighbors driveway has an incline of 9.0o, and the driveway across the street is at 6.0o. The...

A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with a "frozen-in" polarization P(r) = k/r r. where k is a constant and r is the distance from the center (Fig....

Neel wall the direction of magnetization change in a domain wall goes from that of the Bloch wall to that of a Neel wall (Fig. 36) in thin films of material of negligible crystalline anisotropy...

Three point particles are fixed in position in a xy plane. Two of them, particle A of mass 6.00 g and particle B of mass 12.0 g, are shown in Figure with a separation of dAB = 0.500 m at angle ? =...

Upon spotting an insect on a twig overhanging water, an archer fish squirts water drops at the insect to knock it into the water (Figure). Although the fish sees the insect along a straight-line path...

A circular coil (950 turns, radius = 0.060 m) is rotating in a uniform magnetic field. At t = 0 s, the normal to the coil is perpendicular to the magnetic field. At t = 0.010 s, the normal makes an...

A 200-m-wide river flows due east at a uniform speed of 2.0 m/s. A boat with a speed of 8.0 m/s relative to the water leaves the south bank pointed in a direction 30o west of north. What are the (a)...

An undersea research chamber is spherical with an external diameter of 5.20m. The mass of the chamber, when occupied, is 74,400kg. It is anchored to the sea bottom by a cable. What is (a) The buoyant...

Jumping up before the elevator hits after the cable snaps and the safety system fails, an elevator cab free-falls from a height of 36 m. During the collision at the bottom of the elevator shaft, a 90...

A tow truck pulls a car that is stuck in the mud, with a force of 2 500 N as in Fig. P5.27.The tow cable is under tension and therefore pulls downward and to the left on the pin at its upper end. The...

When baseball players throw the ball in from the outfield, they usually allow it to take one bounce before it reaches the infield, on the theory that the ball arrives sooner that way. Suppose that...

Two very large open tanks A and F (Fig. 14.44) certain the same liquid. A horizontal pipe BCD, having a constriction at C and open to the air at D, leads out of the bottom of tank A, and a vertical...

What is the energy of photons (joules) emitted by an 88.5-MHz FM radio station?

A spring and block are in the arrangement of Fig. 7-11. When the block is pulled out to x = + 4.0cm, we must apply a force of magnitude 360 N to hold it there. We pull the block to x = 11 cm and then...

Two constant forces act on a 5.00-kg object moving in the xy plane, as shown in Figure P7.60. Force F1 is 25.0 N at 35.0°, while F2 is 42.0 N at 150°. At time t = 0, the object is at the...

An instrument based on induced emf has been used to measure projectile speeds up to 6 km/s. A small magnet is imbedded in the projectile, as shown in Figure P31.14. The projectile passes through two...

An object 2.00 cm high is placed 40.0 cm to the left of a converging lens having a focal length of 30.0 cm. A diverging lens with a focal length of -20.0 cm is placed 110 cm to the right of the...

A rocket is fired in deep space, where gravity is negligible. In the first second it ejects, k of its mass as exhaust gas and has an acceleration of 15.0 m/s2. What is the speed of the exhaust gas...

Which of the following wave functions satisfies the wave equation? (a)y(x, I) = A cos (kx + wt); (b)y(x, I) =A sin (kx + w,); (c) y (x, t) = A(cos kx + cos wt). (d) For the wave of part(b), write the...

A 22.0 cm diameter coil consists of 20 turns of circular copper wire 2.6 mm in diameter. A uniform magnetic field, perpendicular to plane of the coil, changes at a rare of 8.65 x 103 T/s Determine...

A patient is to be given a blood transfusion. The blood is to flow through a tube from a raised bottle to a needle inserted in the vein (Fig.10-55). The inside diameter of the 4.0cm-long needle is...

A gas is enclosed in a cylinder fitted with a light frictionless piston and maintained at atmospheric pressure. When 1400 keal of heat is added to the gas, the volume is observed to increase slowly...

Ball B, moving in the positive direction of an x axis at speed v, collides with stationary ball A at the origin. A and B have different masses, after the collision, B moves in the negative direction...

Bainbridge's mass spectrometer, shown in Figure, separates ions having the same velocity. The ions, after entering through slits, S1 and S, pass through a velocity selector composed of an electric...

Consider the circuit shown in Figure P28.9. Find (a) The current in the 20.0- resistor and (b) The potential difference between points a and b.

Ensuring a Tight Fit. Aluminum rivets used in airplane construction are made slightly larger than the rivet holes and cooled by dry ice (solid CO2) before being driven. If the diameter of a hole is...

Longitudinal Waves in Different Fluids. (a) A longitudinal wave propagating in a water-filled pipe has intensity 3.00 X 10-6w/m2 and frequency 3400 Hz. Find the amplitude A and wavelength A of the...

A Foucault pendulum consists of a brass sphere with a diameter of 35.0cm suspended from a steel cable 10.5 m long (both measurements made at 20.0C). Due to a design over sight, the swinging sphere...

A 21.7-kg child descends a slide 3.5m high and reaches the bottom with a speed of 2.2m/s. How much thermal energy due to friction was generated in this process?

The specific gravity of ice is 0.917, whereas that of seawater is 1.025. What fraction of an iceberg is above the surface of the water?

An ideal electric dipole is situated at the origin, and points in the z direction, as in Fig. 3.36. An electric charge is released from rest at a point in the xy plane. Show that it swings back and...

The shadow cast by a vertical pillar in Alexandria at noon during the summer solstice is found to be 1/8 the height of the pillar. The distance between Alexandria and Syene is 1/8 Earth's radius. Is...

A 100-kg uniform horizontal disk of radius 5.50 m turns without friction at 2.50 rev/s on a vertical axis through its center, as in Figure P11.46, A feedback mechanism senses the angular speed of the...

Can a 2.5-mm-diameter copper wire have the same resistance as a tungsten wire of the same length? Give numerical details.

An Earth satellite has a speed of 28,070 km/hr when it is at its perigee of 220 km above Earths surface. Find the apogee distance, its speed at apogee, and its period of revolution.

A long, thin solenoid has 400 turns per meter and radius 1.10 cm. The current in the solenoid is increasing at a uniform rate di/dt. The induced electric field at a point near the center of the...

(a) Twelve equal charges, q, are situated at the corners of a regular 12-sided polygon (for instance, one on each numeral of a clock face). What is the net force on a test charge Q at the center? (b)...

(a) In Figure what value must R have if the current in the circuit is to be 1.0 mA? Take ? 1 = 2.0V, ? 2 = 3.0 V and r 1 = r 2 = 3.0? (b) What is the rate at which thermal energy appears in R? 12

A chairlift has been stopped in the position shown. Knowing that each chair weighs 250 N and that the skier in chair E weighs 765 N, draw the free-body diagrams needed to determine the weight of the...

A small helium-neon laser emits red visible light with a power of 3.20mW in a beam that has a diameter of 2.50 mm. (a) What are the amplitudes of the electric and magnetic fields of the light? (b)...

A steel plate of dimensions 2.5 Ã 1.5 Ã 0.08 m and weighing 23.1kN is hoisted by steel cables with lengths L1 = 3.2 m and L2 = 3.9 m that are each attached to the plate by a clevis and...

Elevator Design you are designing an elevator for a hospital. The force exerted on a passenger by the floor of the elevator is not to exceed 1.60 times the passenger's weight. The elevator...

A movie stuntman (mass 80.0 kg) stands on a window ledge 5.0 m above the floor (Fig. 8.44). Grabbing a rope attached to a chandelier, he swings down to grapple with the movie's villain (mass 70.0...

(a) Asteroids have average densities of about 2500 kg/m' and radii from 470 km down to less than a kilometer. Assuming that the asteroid has a spherically symmetric mass distribution, estimate the...

For a gas of nitrogen molecules (N2), what must the temperature be if 94.7% of all the molecules have speeds less than (a) 1500 m/s; (b) 1000 m/s; (c) 500 m/s? Use Table 18.2. The molar mass of N2 is...

A 10.0-kg block is released from point A in Figure P8.57. The track is frictionless except for the portion between points A and B, which has a length of 6.00 m. The block travels down the track, hits...

A proton is projected in the positive x direction into a region of a uniform electric field E = - 6.00 x 105i N/C at t = 0. The proton travels 7.00 cm before coming to rest. Determine (a) The...

A material of resistivity p is formed into a solid, truncated cone of height h and radii r1 and r2 at either end (Fig). (a) Calculate the resistance of the cone between the two flat end faces. (b)...

Figure 229 shows the velocity of a train as a function of time. (a) At what time was it was velocity greatest? (b) During what periods, if any, ways the velocity constant? (c) During what periods, if...

A radioactive material produces 1280 decays per minute at one time, and 4.6h later produces 320 decays per minute. What is its half-life?

At t = 0, a flywheel has an angular velocity of 4.7 rad/s, a constant angular acceleration of 0.25 rad/s2, and a reference line at o = 0. (a) Through what maximum angle max will the reference line...

A coiled telephone cord forms a spiral with 70 turns, a diameter of 1.30 cm, and an unstretched length of 60.0 cm. Determine the self-inductance of one conductor in the unstretched cord.

The Great Sandini is a 6O-kg circus performer who is shot from a cannon (actually a spring gun). You don't find many men of his caliber, so you help him design a new gun. This new gun has a very...

The force on a particle is directed along an x axis and given by F = F0(x/x0 1). Find the work done by the force in moving the particle from x = 0 to x = 2x0 by (a) Plotting F(x) and measuring the...

A river has a steady speed of 0.500 m/s. A student swims upstream a distance of 1.00 km and swims back to the starting point. If the student can swim at a speed of 1.20 m/s in still water, how long...

A 1.20-kg piece of cheese is placed on a vertical spring of negligible mass and force constant k = 1800 N/m that is compressed 15.0 cm. When the spring is released, how high does the cheese rise from...

The approximate volume of the granite monolith knows as El Capitan in Yosemite National Park (Fig. 10-48) is about 108 m3. What is its approximate mass?

A 55-kg runner runs around the edge of a horizontal turntable mounted on a vertical, frictionless axis through its center. The runner's velocity relative to the earth has magnitude 2.8 m/s. The...

Typical large values for electric and magnetic fields attained in laboratories are about 1.0 x 104 V/m and 2.0 T. (a) Determine the energy density for each field and compare. (b) What magnitude...

A rectangular boat, as illustrated in Fig. 9.39, is over-loaded such that the water level is just 1.0 cm below the top of the boat. What is the combined mass of the people and the boat? 0.30 m 2.0m...

At point A in a Carnot cycle, 2.34 mol of a monatomic ideal gas has a pressure of 1 400 kPa, a volume of 10.0 L, and a temperature of 720 K. It expands isothermally to point B, and then expands...

A large storage tank, open at the top and filled with water, develops a small hole in its side at a point 16.0 m below the water level. If the rate of flow from the leak is equal to 2.50 X 103m3/min,...

Stay Dry! You tie a cord to a pail of water, and you swing the pail in a vertical circle of radius 0.600 m. What minimum speed must you give the pail at the highest point of the circle if no water is...

A ski tow operates on a 15.0" slope of length 300 m. The rope moves at 12.0 km/h and provides power for 50 riders at one time, with an average mass per rider of 70.0 kg. Estimate the power required...

During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. Figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial...

The small 2-lb collar starting from rest at A slides down along the smooth rod. During the motion, the collar is acted upon by force F = {10i + 6yj + 2zk} lb, where x, y, z are in feet. Determine the...

Three charges are at the corners of an equilateral triangle as shown in Figure P23.7. (a) Calculate the electric field at the position of the 2.00-C charge due to the 7.00-C and -4.00-C charges. (b)...

A luggage handler pulls a 20.O-kg suitcase up a ramp inclined at 25.0 above the horizontal by a force F of magnitude 140 N that acts parallel to the ramp. The coefficient of kinetic friction between...

A thin, uniform rod with negligible mass and length 0.200 m is attached to the floor by a frictionless hinge at point P (Fig). A horizontal spring with force constant k = 4.80 N/m connects the other...

A 70-kg person ride in a 30-kg cart moving at 12 m/s at the top of a hill that is in the shape of an arc of a circle with a radius of 40 m. (a) What is the apparent weight of the person as the cart...

Find the transformation matrix that rotates the axis x3 of a rectangular coordinate system 45o toward x1 around the x2 axis.

The penetration distance ? in a finite potential well is the distance at which the wave function has decreased to 1/e of the wave function at the classical turning point: The penetration distance can...

A wheel is free to rotate about its fixed axle. A spring is attached to one of its spokes a distance r from the axle, as shown in Figure.(a) Assuming that the wheel is a hoop of mass m and radius R,...

(a) A light balloon is filled with 400 m3 of helium. At 0C, the balloon can lift a payload of what mass? (b) What If? In Table 14.1, observe that the density of hydrogen is nearly half the density of...

A microwave oven running at 65% efficiency delivers 950 W of energy per second to the interior. Find (a) The power drawn from the source, and (b) The current drawn. Assume a source voltage of 120V. .

In a physics laboratory experiment, a coil with 200 turns enclosing an area of 12 cm 2 is rotated in 0.040 s from a position where its plane is perpendicular to the earth's magnetic field to a...

In the Olympiad of 708B.C, some athletes competing in the standing long jump used handheld weights called halters to lengthen their jumps (Figure). The weights were swung up in front just before...

A dielectric material contains 2 10 19 polar molecules/m3, each of dipole moment 1.8 10 27 C/m. Assuming that all the dipoles are aligned in the direction of the electric field E = 10 5 a x V/m,...

Two parallel plates having charges of equal magnitude but opposite sign are separated by 12.0 cm. Each plate has a surface charge density of 36.0 nC/m2. A proton is released from rest at the positive...

(a) Calculate the potential energy of a system of two small spheres, one carrying a charge of 2.00 C and the other a charge of - 3.50 C, with their centers separated by a distance of 0.250 m. Assume...

A cello A-string vibrates in its first normal mode with a frequency of 220 Hz. The vibrating segment is 70.0 cm long and has a mass of 1.20 g. (a) Find the tension in the string. (b) Determine the...

A piece of wire is bent through an angle . The bent wire is partially submerged in benzene (index of refraction = 1.50), so that, to a person looking along the dry part, the wire appears to be...

A thin, uniform metal bar, 2.00 m long and weighing 90.0 N, is hanging vertically from the ceiling by a frictionless pivot. Suddenly it is struck 1.50 m below the ceiling by a small 3.00-kg ball,...

What diameter must a 21.0-m-long air duct have if the ventilation and heating system is to replenish the air in a room 9.0 m X 12.0m X 4.0m every 10min? Assume the pump can exert a gauge pressure of...

Solar Magnetic Energy. Magnetic fields within a sunspot can be as strong as 0.4 T. (By comparison, the earth's magnetic field is about 1/10,000 as strong.) Sunspots can be as large as 25,000 km in...

A large aquarium of height 5.00 m is filled with fresh water to a depth of 2.00 m. One wall of the aquarium consists of thick plastic 8.00 m wide. By how much does the total force on that wall...