220 V is applied to two different conductors made of the same material. One conductor is twice as long and twice the diameter of the second. What is the ratio of the power transformed in the first...
The sound from a trumpet radiates uniformly in all directions in 20"C air. At a distance of 5.00 m from the trumpet the sound intensity level is 52.0 dB. The frequency is 587 Hz. (a) What is the...
An alpha particle (charge +2e) and an electron move in opposite directions from the same point, each with the speed of 2.50 X 105 m/s (Fig). Find the magnitude and direction of the total magnetic...
A potters wheel is rotating around a vertical axis through its center at a frequency of 1.5 rev/s. The wheel can be considered a uniform disk of mass 5.0 kg and diameter 0.40. The potter then throws...
In Figure a sled is held on an inclined plane by a cord pulling directly up the plane. The sled is to be on the verge of moving up the plane. In Fig. 6-34, the magnitude F required of the cord's...
In Figure a thin glass rod forms a semicircle of radius r = 5.00 cm. Charge is uniformly distributed along the rod, with = q = 4.50pC in the upper half and ? q = ? 4.50pC in the lower half. What are...
Figure P23.40 shows the electric field lines for two point charges separated by a small distance. (a) Determine the ratio q1/q2. (b) What are the signs of q1 and q2?
A conductor consists of a circular loop of radius R and two straight, long sections, as shown in Figure P30.6. The wire lies in the plane of the paper and carries a current I. Find an expression for...
A welder using a tank of volume 0.0750 m' fills it with oxygen (molar mass 32.0 g/mol) at a gauge pressure of 3.00 X 105 Pa and temperature of 37.0C. The tank has a small leak, and in time some of...
A 5.80-m length of 2.0-mm-diameter wire carries 750-mA current when 22.0mV is applied to its ends. If the drift speed is 1.7 X 10-5 m/s. Determine (a) The resistance R of the wire, (b) The...
Public Radio station KXPR-FM in Sacramento broadcasts at 88.9MHz. The radio waves pass between two tall skyscrapers that are 15.0 m apart along their closest walls. (a) At what horizontal angles,...
A 250 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 2.5 N/cm (Figure).The block becomes attached to the spring and compresses the spring 12 cm before momentarily...
An infinitely long conductor is bent into an L shape as shown in figure. If a direct current of 5 A flows in the current, find the magnetic field intensity at? (a) (2, 2, 0), (b) (0, ? 2, 0), and?...
A 4.00-kg object is attached to a vertical rod by two strings, as in Figure P6.11. The object rotates in a horizontal circle at constant speed 6.00 m/s. Find the tension in (a) The upper string and...
A pistol that fires a signal flare gives it an initial velocity (muzzle velocity) of 125 m/s at an angle of 55.0 above the horizontal. You can ignore air resistance. Find the flare's maximum height...
X rays of wavelength 0.0100 nm are directed in the positive direction of an x axis onto a target containing loosely bound electrons. For Compton scattering from one of those electrons, at an angle of...
On level ground a shell is fired with an initial velocity of 80.0 m/s at 60.0 above the horizontal and feels no appreciable air resistance. (a) Find the horizontal and vertical components of the...
A bead slides without friction around a loop-the-loop (Fig. P8.5). The bead is released from a height h = 3.50R. (a) What is its speed at point A? (b) How large is the normal force on it if its mass...
(a) A hanging spring stretches by 35.0 cm when an object of mass 450 g is hung on it at rest. In this situation, we define its position as x = 0. The object is pulled down an additional 18.0 cm and...
A train locomotive is pulling two cars of the same mass behind it, Fig, 4-47. Determine the ratio of the tension in the coupling between the locomotive and the first car (FT1), to that between the...
Figure shows an initially stationary block of mass m on a floor. A force of magnitude 0.500mg is then applied at upward angle = 20 o . What is the magnitude of the acceleration of the block across...
Police radar detects the speed of a car (Fig. P39.19) as follows. Microwaves of a precisely known frequency are broadcast toward the car. The moving car reflects the microwaves with a Doppler shift....
A flat (unbanked) curve on a highway has a radius of 220.0 m. A car rounds the curve ata speed of 25.0 m/s. (a) What is the minimum coefficient of friction that will prevent sliding? (b) Suppose the...
Figure gives the probability distribution for nitrogen gas. The scale of the horizontal axis is set by vs = 1200m/s. What are the (a) Gas temperature and (b) Rms speed of themolecules? v (m/s) (4)d
The three balls each have the same mass m. if A has a speed v just before a direct collision with Bv determine the speed of C after collision. The coefficient of restitution between each ball is e....
At a temperature of 27.0C, what is the speed of longitudinal waves in (a) Hydrogen molar mass 2.02 g/mol)? (b) Helium (molar mass 4.00 g/mol); (c) Argon (molar mass 39.9 g/mol)? See Table 19.1 for...
A person stands on a platform, initially at rest, that can rotate freely without friction. The moment of inertia of the person plus the platform is lp. The person holds a spinning bicycle wheel with...
A brass ring of diameter 10.00 cm at 20.0C is heated and slipped over an aluminum rod of diameter 10.01 cm at 20.0C. Assuming the average coefficients of linear expansion are constant, (a) To what...
Two 25.0-N weights are suspended at opposite ends of a rope that passes over a light, frictionless pulley. The pulley is attached to a chain that goes to the ceiling. (a) What is the tension in the...
The wire of a tightly wound solenoid is unwound and used to make another tightly wound solenoid of twice the diameter. By what factor does the inductance change?
In Fig. 30.11, switch S1, is closed while switch S2 is kept open. The inductance is L = 0.115 H, and the resistance is R = 120 . (a) When the current has reached its final value, the energy stored in...
The position vector r = 5.00ri + (et + ft2)j locates a particle as a function of time t. Vector r is in meters, t is in seconds, and factors e and f are constants. Figure gives the angle of the...
A ball dropped from a height of 4.00 m makes a perfectly elastic collision with the ground. Assuming no mechanical energy is lost due to air resistance, (a) Show that the ensuing motion is periodic...
A uniform ladder of mass m and length l leans at an angle θ against a frictionless wall, Fig. 9-60. If the coefficient of static friction between the ladder and the ground is μ, determine a...
Asteroid Collision Suppose that an asteroid traveling straight toward the center of the earth were to collide with our planet at the equator and bury itself just below the surface. What would have to...
A large spool of rope rolls on the ground with the end of the rope lying on the top edge of the spool. A person grabs the end of the rope and walks a distance L, holding onto it, Fig. 8-50. The spool...
In Figure an open tube of length L = 1.8 m and cross-sectional area A = 4.6 cm2 is fixed to the top of a cylindrical barrel of diameter D = 1.2 m and height H = 1.8 m. The barrel and tube are filled...
Form factor of atomic hydrogen for the hydrogen atom is its ground state, the number density is n(r) = (a 0 3 ) 1 exp ( 2r/a 0 ), where a0 is the Bohr radius. Show that the form factor is f G = 16/...
A machine part is undergoing SHM with a frequency of 5.00 Hz and amplitude 1.80 cm. How long does it take the part to go from x = Otox = -1.80cm?
A proud deep-sea fisherman hangs a 65.0-kg fish from an ideal spring having negligible mass. The fish stretches the spring 0.120 m. (a) Find the force constant of the spring. The fish is now pulled...
An airplane is flying in a horizontal circle at a speed of 480 km/h (Figure). If its wings are tilted at angle ? = 40 to the horizontal, what is the radius of the circle in which the plane is flying?...
A 1.0 W point source emits sound waves isotropically. Assuming that the energy of the waves is conserved, find the intensity (a) 1.0 m from the source and (b) 2.5 m from the source
A solid, insulating sphere of radius a has a uniform charge density 1 and a total charge Q. Concentric with this sphere is an uncharged, conducting hollow sphere whose inner and outer radii are b and...
You will find in Chapter 39 that electrons cannot move in definite orbits within atoms, like the planets in our solar system. To see why, let us try to "observe" such an orbiting electron by using a...
Egg Drop you are on the roof of the physics building. 46.0 m above the ground (Fig 2.49) your physics professor, who is 1.80 m tall, is walking alongside the building at a constant speed of 1.20 m/s....
The point masses m and 2m lie along the x-axis, with m at the origin and 2m at x = L. A third point mass M is moved along the x-axis. (a) At what point is the net gravitational force on M due to the...
In Figure, a chain consisting of five links, each of mass 0.100 kg, is lifted vertically with constant acceleration of magnitude a = 2.50 m/s2. Find the magnitudes of (a) The force on link 1 from...
A crate of weight Fg is pushed by a force P on a horizontal floor. (a) If the coefficient of static friction is -s and P is directed at angle below the horizontal, show that the minimum value of P...
A 2.00-kg object attached to a spring moves without friction and is driven by an external force given by F = (3.00 N) sin (2) t). If the force constant of the spring is 20.0 N/m, determine (a) The...
For the circuit shown in Fig. both meters are idealized, the battery has no appreciable internal resistance, and the ammeter reads 1.25 A (a) What does the voltmeter read? (b) What is the emf E of...
A student of weight 667 N rides a steadily rotating Ferris wheel (the student sits upright).At the highest point, the magnitude of the normal force F1u. on the student from the seat is 556 N. (a)...
A physical pendulum in the form of a planar body moves in simple harmonic motion with a frequency of 0.450 Hz. If the pendulum has a mass of 2.20 kg and the pivot is located 0.350 m from the center...
A car's velocity as a function of time is given by vx, (t) = a + Bt2, where a = 3.00 m/s and p = 0.100 m/s3. (a) Calculate the average acceleration for the time interval, = 0 to, = 5.00 s. (b)...
A man strikes one end of a thin rod with a hammer. The speed of sound in the rod is 15 times the speed of sound in air. A woman, at the other end with her ear close to the rod, hears the sound of the...
A man pushes on a piano with mass 180 kg so that it slides at constant velocity down a ramp that is inclined at 11.00 above the horizontal floor. Neglect any friction acting on the piano. Calculate...
A high-speed flywheel in a motor is spinning at 500 rpm when a power failure suddenly occurs. The flywheel has mass 40.0 kg and diameter 75.0 cm. The power is off for 30.0 s, and during this time the...
A hungry bear weighing 700 N walks out on a beam in an attempt to retrieve a basket of food hanging at the end of the beam (Fig. P12.43), the beam is uniform, weighs 200 N, and is 6.00 m long; the...
(a) Estimate the power output of sound from a person speaking in normal conversation. Use Table 12-2. Assume the sound spreads roughly uniformly over a sphere centered on the mouth. (b) How many...
A long rod, insulated to prevent heat loss along its sides, is in perfect thermal contact with boiling water (at atmospheric pressure) at one end and with an ice-water mixture at the other (Fig....
A circular area with a radius of 6.50 cm lies in the xy-plane. What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.230 T (a) In the +z-direction; (b)...
As you pilot your space utility vehicle at a constant speed toward the moon a race pilot flies past you in her space racer at a constant speed of 0.800c relative to you. At the instant the space...
In a game of pool, the cue ball strikes another ball of the same mass and initially at rest. After the collision, the cue ball moves at 3.50 m/s along a line making an angle of 22.0o with the cue...
Cyclotron resonance for a spheroidal energy surface considers the energy surface where m t is the transverse mass parameter and m1 is the longitudinal mass parameter. A surface on which ?(k) is...
In a given CRT, electrons are accelerated horizontally by 7.0 kV. They then pass through a uniform electric field E for a distance of 2.8 cm, which deflects them upward so they reach the screen top...
Raising a Ladder a ladder carried by a fire truck is 20.0 m long. The ladder weighs 2800 N and its center of gravity is at its center. The ladder is pivoted at one end (A) about a pin (Hg. 11.22);...
You cool a l00.0-g slug of red-hot iron (temperature 745C) by dropping it into an insulated cup of negligible mass containing 75.0 g of water at 20.0C. Assuming no heat exchange with the...
You wish to project the image of a slide on a screen 9.00 m from the lens of a slide projector. (a) If the slide is placed 15.0 cm from the lens, what focal length lens is required? (b) If the...
A sling-thrower puts a stone (0.250 kg) in the sling's pouch (0.010 kg) and then begins to make the stone and pouch move in a vertical circle of radius 0.650 m. The cord between the pouch and the...
Kicking a Field Goal in U.S. football, after a touchdown the team has the opportunity to earn one more point by kicking the ball over the bar between the goal posts. The bar is 10.0 ft above the...
A uniform, solid cylinder with mass M and radius 2R rests on a horizontal tabletop. A string is attached by a yoke to a frictionless axle through the center of the cylinder so that the cylinder can...
A typical small flashlight contains two batteries, each having an emf of 1.5 V, connected in series with a bulb having resistance 17 . (a) If the internal resistance of the batteries is negligible,...
Three identical blocks are being pulled or pushed across a horizontal surface by a force , as shown in the drawings. The force in each case has the same magnitude. Rank the kinetic frictional forces...
A 0.042-kg pet lab mouse sits on a 0.35-kg air-track cart, as shown in FIGURE 9-27. The cart is at rest, as is a second cart with a mass of 0.25 kg. The lab mouse now jumps to the second cart. After...
A ray of light is incident in air on a block of a transparent solid whose index of refraction is n. If n = 1.38, what is the largest angle of incidence ?a for which total internal reflection will...
Figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. One block has mass m1...
Two ropes are connected to a steel cable that supports a hanging weight as shown in Fig. 5.59. (a) Draw a free-body diagram showing all of the forces acting at the knot that connects the two ropes to...
A dc motor with its rotor and field coils connected in series has an internal resistance of 3.2.n. When the motor is running at full load on a 120-V line, the emf in the rotor is 105 V. (a) What is...
In Figure, let the mass of the block be 8.5 kg and the angle be 30o. Find (a) The tension in the cord and (b) The normal force acting on the block. (c) If the cord is cut, find the magnitude of the...
A 75.O-kg painter climbs a ladder that is 2.75 m long leaning against a vertical wall. The ladder makes an 30.0 angle with the wall. (a) How much work does gravity do on the painter? (b) Does the...
The spool, which has a mass of 4 kg, slides along the rotating rod. At the instant shown, the angular rate of rotation of the rod is θ = 6 rad/s and this rotation is increasing at θ = 2...
A car is stopped in a distance D by a constant friction force that is independent of the car's speed. What is the stopping distance (in terms of D) (a) If the car's initial speed is tripled, and (b)...
A 23-g bullet traveling 230m/s penetrates a 2.0 kg block of wood and emerges cleanly at 170m/s. If the block is stationary on a frictionless surface when hit, how fast does it move after the bullet...
Suppose that your body has a uniform density of 0.95 times that of water. (a) If you float in a swimming pool, what fraction of your body's volume is above the water surface? Quicksand is a fluid...
You make tea with 0.250 kg of 85.0C water and let it cool to room temperature (20.0C) before drinking it. (a) Calculate the entropy change of the water while it cools. (b) The cooling process is...
Allow the motion in the preceding problem to take place in a resisting medium. After oscillating for 10s, the maximum amplitude decreases to half the initial value. Calculate (a) The damping...
A rectangle measuring 30.0 cm by 40.0 cm is located inside a region of a spatially uniform magnetic field of 1.25 T, with the field perpendicular to the plane of the coil (Fig. 29.29). The coil is...
An electric device draws 6.50 A at 240 V. (a) If the voltage drops by 15%, what will be the current, assuming nothing else changes? (b) If the resistance of the device were reduced by 15%, what...
A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown in Figure P23.33. The rod has a total charge of - 7.50 μC. Find the magnitude and direction of...
Two particles, with charges of 20.0 nC and - 20.0 nC, are placed at the points with coordinates (0, 4.00 cm) and (0, -4.00 cm), as shown in Figure P25.28. A particle with charge 10.0 nC is located at...
(a) Show that the quadrupole term in the multi pole expansion can be written where here is the Kronecker delta, and Qij is the quadrupole moment of the charge distribution. Notice the hierarchy: The...
Pluto and Charon Pluto's diameter is approximately 2370 km, and the diameter of its satellite Charon is 1250 kin. Although the distance varies, they are often about 19,700 kin apart,...
A 50.0-kg grindstone is a solid disk 0.520 m in diameter. You press an ax down on the rim with a normal force of 160 N (Fig. 10.43). The coefficient of kinetic friction between the blade and the...
A military helicopter on a training mission is flying horizontally at a speed of 60.0 m/s and accidentally drops a bomb (fortunately not armed) at an elevation of 300 m. You can ignore air...
An airplane in flight is subject to an air resistance force proportional to the square of its speed v. But there is an additional resistive force because the airplane has wings. Air flowing over the...
A person whose eyes are 1.68 m above the floor stands 2.20 m is front of a vertical plane mirror whose bottom edge is 43 cm above the floor, Fig. 23-48. What is supporting the mirror of the nearest...
Light is incident on an equilateral glass prism at a 45.0o angle to one face, Fig. 23-51. Calculate the angle at which light emerges from the opposite face. Assume that n = 1.58. 45.0
Sketch the vector function v = r/r2, and compute its divergence. The answer may surprise you... can you explain it?
In Figure a block weighing 14.0 N, which can slide without friction on an incline at angle = 40.0o, is connected to the top of the incline by a massless spring of unstretched length 0.450 m and...
A conducting sphere of radius a is half-embedded in a liquid dielectric medium of permittivity s, as in figure. The region above the liquid is a gas of permittivity ?2. If the total free charge on...
Suppose 200 J of work is done on a system and 70.0 cal is extracted from the system as heat. In the sense of the first law of thermodynamics, what are the values (including algebraic signs) of (a) W,...