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...
A daring ranch hand sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 10.0 m/s, and the distance from the limb to the level of...
An elevator is moving upward at a constant speed of 2.50 m/s. A bolt in the elevator ceiling 3.00 m above the elevator floor works loose and falls. (a) How long does it take for the bolt to fall to...
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...
In Figure uniform beams A and B are attached to a wall with hinges and loosely bolted together (there is no torque of one on the other). Beam A has length LA = 2.40 m and mass 54.0 kg; beam B has...
A ball is shot vertically upward from the surface of another planet. A plot of y versus t for the ball is shown in Figure, where y is the height of the ball above its starting point and t = 0 at the...
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...
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...
A Doppler flow meter uses ultrasound waves to measure blood-flow speeds. Suppose the device emits sound at 3.5 MHz, and the speed of sound in human tissue is taken to be 1540 m/s. What is the...
At t = 0 a 1.0 kg ball is thrown from a tall tower with v = (18 m/s)i + (24m/s)j. What is U of the ball-Earth system between t = 0and t = 6.0s (still free fall)?
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,...
Find the frequency of small oscillations for a thin homogeneous plate if the motion takes place in the plane of the plate and if the plate has the shape of an equilateral triangle and is suspended...
Atwood's Machine A 15.O-kg load of bricks hangs from one end of a rope that passes over a small, frictionless pulley. A 28.O-kg counterweight is suspended from the other end of the rope. As shown in...
It has been proposed that a spaceship might be propelled in the solar system by radiation pressure, using a large sail made of foil. How large must the surface area of the sail be if the radiation...
A 0.20-F capacitor is desired. What area must the plates have if they are to be separated by a 2.2-mm air gap?
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,...
As shown in Figure P18.42, water is pumped into a tall vertical cylinder at a volume flow rate R. The radius of the cylinder is r, and at the open top of the cylinder a tuning fork is vibrating with...
For the system of capacitors shown in Figure P26.54, find (a) The equivalent capacitance of the system, (b) The potential across each capacitor, (c) The charge on each capacitor, and (d) The total...
A uniform disk of radius R is cut in half so that the remaining half bas mass M (Fig. 931a). (a) What is the moment of inertia of this half about an axis perpendicular to its plane through point A?...
In Example 12.5 (Section 12.3) we ignored the gravitational effects of the moon on a spacecraft en route from the earth to the moon. In fact, we must include the gravitational potential energy due to...
A solid conducting sphere with radius R carries a positive total charge Q. The sphere is surrounded by an insulating shell with inner radius R and outer radius 2R. The insulating shell has a uniform...
Two charges, Q0 and 3Q0, are a distance l apart. These two charges are free to move but do not because there is a third charge nearby. What must be the charge and placement of the third charge for...
An object is moved along the central axis of a spherical mirror while the lateral magnification m of it is measured. Figure gives m versus object distance p for the range pa = 2.0 cm to pb = 8.0 cm....
In a 250-turn automobile alternator, the magnetic flux in each turn is B = (2.50 x 10-4 Wb) cos (wt), where w is the angular speed of the alternator. The alternator is geared to rotate three times...
A 110-kg crate, starting from rest, is pulled across a floor with a constant horizontal force of 350N. For the first 15m the floor is frictionless, and for the next 15m the coefficient of friction is...
A sample of an ideal gas is taken through the cyclic process abca shown in Figure. The scale of the vertical axis is set by p?? = 7 .5 kPa and pb = 2.5 kPa. At point a, T = 200 K. (a) How many moles...
A point charge Q = +4.60 C is held fixed at the origin. A second point charge q = + 1.20 C with mass of 2.80 X 10-4 kg is placed on the x-rods, 0.250 m from the origin. (a) What is the electric...
A cardiac defibrillator is used to shock a heart that is beating erratically. A capacitor in this device is charged to 5.0kV and stores 1200 J of energy. What is its capacitance?
A boy is initially seated on the top of a hemispherical ice mound of radius R = 13.8 m. He begins to slide down the ice, with a negligible initial speed (Figure g).Approximate the ice as being...
An electron and a positron collide head on, annihilate, and create two 0.90-MeV photons traveling in opposite directions. What were the initial kinetic energies of electron and positron?
A particle is described by the normalized wave function (x, y, z) = Axe-ax2 e -y2 e-yz2', where A, a, , and are all real, positive constants. The probability that the particle will be found in the...
An insulating rod having linear charge density 1 = 40.0 μC/m and linear mass density μ = 0.100 kg/m is released from rest in a uniform electric field E = 100 V/m directed perpendicular to the...
Figure shows an end view of two long, parallel wires perpendicular to the xy-plane, each carrying a current I but in opposite directions. (a) Copy the diagram, and draw vectors to show the B field of...
In Fig 21-12, the rod moves with a speed of 1.6 m/s, is 30.0 cm long, and has a resistance of 2.5 . The magnetic field is 0.35 T, and the resistance of the U-shaped conductor is 25.0 at a given...
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...
A battery has an emf of 15.0 V. The terminal voltage of the battery is 11.6 V when it is delivering 20.0 W of power to an external load resistor R. (a) What is the value of R? (b) What is the...
Water at a gauge pressure of 3.8 atm at street level flows into an office building at a speed of 0.60m/s through a pipe 5.0cm in diameter, the pipe tapers down to 2.6cm in diameter by the top floor,...
Find Vo in the two-way power divider circuit in Fig. 2.132. Figure 2.132 For Prob. 2.72. 1 Vo 2 10 V MA
The atmospheric density at an altitude of 2500 km is about 1 molecule/cm3. (a) Assuming the molecular diameter of 2.0 x 10-8 cm, find the mean free path predicted by Eq. 19-25. (b) Explain whether...
A square wire loop with 2.00 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in Figure. The loop contains an ideal battery with emf ? = 20.0...
A swimming pool has dimensions 30.0 m X 10.0 m and a flat bottom. When the pool is filled to a depth of 2.00 m with fresh water, what is the force caused by the water on the bottom? On each end? On...
Two people carry a heavy electric motor by placing it on a light board 2.00 m long. One person lifts at one end with a force of 400 N, and the other lifts the opposite end with a force of 600 N. (a)...
Two train whistles, A and B, each have a frequency of 392 Hz. A is stationary and B is moving toward the right (away from A) at a speed of35.0 m/s. A listener is between the two whistles and is...
A thermodynamic system is taken from stare a to state c in Fig. 19.29 along either path abc or path adc. Along path abc, the work W done by the system is 450 J. Along path adc, W is 120 J. The...
A negative charge -0.550C exerts an upward 0.200-N force on an unknown charge 0.300 m directly below it. (a) What is the unknown charge (magnitude and sign)? (b) What are the magnitude and direction...
A length of wire is cut in half and the two lengths are wrapped together side by side to make a thicker wire. How does the resistance of this new combination compare to the resistance of the original...
(a) Calculate the characteristic rotational energy, h2/2I, for the O2 molecule whose bond length is 0.121nm, (b) What are the energy and wavelength of photons emitted in a L = 2 to L = 1 transition?
Estimate the total binding energy copper and then estimate the energy, in joules, needed to break a 3.0-g copper penny into its constituent nucleons.
In a certain particle accelerator, protons travel around a circular path of diameter 23.0 m in an evacuated chamber, whose residual gas is at 295 K and 1.00 x 10-6 torr pressure. (a) Calculate the...
What fraction of a piece of aluminum will be submerged when it floats in mercury?
Alpha particles of charge q = +2e and mass m = 6.6 X 10-27 kg are emitted from a radioactive source at a speed of 1.6 X 107 m/s. what magnetic field strength would be required to bend them into a...
Two long, straight, parallel wires are 1.00 m apart (Fig.). The wire on the left carries a current I1of 6.00 A into the plane of the paper. (a) What must the magnitude and direction of the current s...
A flatbed truck is carrying a heavy crate. The coefficient of static friction between the crate and the bed of the truck is 0.75. What is the maximum rate at which the driver can decelerate and still...
A car at the Indianapolis 500 accelerates uniformly from the pit area, going from rest to 320 km/h in a semicircular are with a radius of 22m. Determine the tangential and radial acceleration of the...
Binding Energy of the Hydrogen Molecule when two hydrogen atoms of mass m combine to form a diatomic hydrogen molecule (H2), the potential energy of the system after they combine is -fl., where fl....
A frictionless pulley has the shape of a uniform solid disk of mass 2.50 kg and radius 20.0 cm. A l.50-kg stone is attached to a very light wire that is wrapped around the rim of the pulley (Fig....
A 145-g baseball is dropped from a tree 13.0 m above the ground. (a) With what speed would it hit the ground if air resistance could be ignored? (b) If it actually hits the ground with a speed of...
If r = bt2i + Ct3j, where b and c are positive constants, when does the velocity vector make an angle of 45.00 with the x and y- axes?
A small block with mass m is placed inside an inverted cone that is rotating about a vertical axis such that the time for one revolution of the cone is T (Fig. 5.83). The walls of the cone make an...
Water stands at a depth H in a large, open tank whose side walls are vertical (Fig. 14.42). A hole is made in one of the walls at a depth h below the water surface. (a) At what distance R from the...
Three point charges are arranged on a line. Charge q3 = + 5.00 nC and is at the origin. Charge q2 = - 3.00 nC and is at x = +4.00cm. Charge q1 is at x = +2.00cm. What is q1 (magnitude and sign) if...
Two rods are identical in all respects except one: one rod is made from aluminum and the other from tungsten. The rods are joined end to end, in order to make a single rod that is twice as long as...
A hydrogen atom is in the 6s state. Determine (a) The principal quantum number, (b) The energy of the state, (c) The orbital angular momentum and its quantum number l, and (d) The possible values for...
Phasor Diagram for Eight Slits an interference pattern is produced by eight equally spaced, narrow slits. Figure 36.14 shows phasor diagrams for the cases in which the phase difference between light...
Two moles of an ideal gas occupy a volume V. The gas expands isothermally and reversibly to a volume 3V. (a) Is the velocity distribution changed by the isothermal expansion? Explain. (b) Use Eq....
A tourist purchases a car in England and ships it home to the United States. The car sticker advertised that the car's fuel consumption was at the rate of 40 miles per gallon on the open road. The...
Two 2.00-C point charges are located on the x axis. One is at x = 1.00 m, and the other is at x = -1.00 m. (a) Determine the electric field on the y axis at y = 0.500 m. (b) Calculate the electric...
A uniformly charged ring of radius 10.0 cm has a total charge of 75.0 C. Find the electric field on the axis of the ring at (a) 1.00 cm, (b) 5.00 cm, (c) 30.0 cm, and (d) 100 cm from the center of...
Two parallel rails with negligible resistance are 10.0 cm apart and are connected by a 5.00-Ω resistor. The circuit also contains two metal rods having resistances of 10.0 Ω and 15.0...
High-power lasers in factories are used to cut through cloth and metal (Fig. P34.23). One such laser has a beam diameter of 1.00 mm and generates an electric field having amplitude of 0.700 MV/m at...
A rocket is fired in deep space, where gravity is negligible. If the rocket has an initial mass of 6000 kg and ejects gas at a relative velocity of magnitude 2000 m/s, how much gas must it eject in...
In Figure a French submarine and a U.S. submarine move toward each other during maneuvers in motionless water in the North Atlantic. The French sub moves at speed vF = 50.00 km/h, and the U.S. sub at...
A position-time graph for a particle moving along the x axis is shown in Figure P2.7. (a) Find the average velocity in the time interval t = 1.50 s to t = 4.00 s (b) Determine the instantaneous...
As in Figure P10.57, toppling chimneys often break apart in mid-fall because the mortar between the bricks cannot withstand much shear stress. As the chimney begins to fall, shear forces must act on...
A truck with mass m has a brake failure while going down an icy mountain road of constant downward slope angle a (Fig. 7.40). Initially the truck is moving downhill at speed vo. After careening...
A proton moving in the plane of the page has a kinetic energy of 6.00 MeV. A magnetic field of magnitude B = 1.00 T is directed into the page. The proton enters the magnetic field with its velocity...
Find the radius a star image forms on the retina of the eye if the aperture diameter (the pupil) at night is 0.700 cm and the length of the eye is 3.00 cm. Assume the representative wavelength of...
Consider a ladder with a painter climbing up it (Fig. 9-61). If the mass of the ladder is 12.0 kg, the mass of the painter is 55.0 kg, and the ladder begins to slip at its base when her feet are 70%...
A car traveling at 53 km/h hits a bridge abutment. A passenger in the car moves forward a distance of 65 cm (with respect to the road) while being brought to rest by an inflated air bag. What...
Figure shows a metallic block, with its faces parallel to coordinate axes. The block is in a uniform magnetic field of magnitude 0.020 T. One edge length of the block is 25 cm; the block is not drawn...
A block having mass m and charge + Q is connected to a spring having constant k. The block lies on a frictionless horizontal track, and the system is immersed in a uniform electric field of magnitude...
Force and Torque on a Dam. A dam has the shape of a rectangular solid. The side facing the lake has area A and height H. The surface of the freshwater lake behind the dam is at the top of the dam....
(a) Show that the electric field at point (0, 0, h) due to the rectangle described by ? a x a, ? b y b, z = 0 carrying uniform charge ? s C/m 2 is (b) If a = 2, b?= 5, ? s =?10 ?5 , find the total...
Consider the electric field at points A, B, and C in Fig. 16-48. First draw an arrow at each point indicating the direction of the net force that a positive test charge would experience if placed at...
A thin flake of mica (n = 1.58) is used to cover one slit of a double-slit interference arrangement. The central point on the viewing screen is now occupied by what had been the seventh bright side...
A dockworker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 11.0 m in 5.00 s....
Three point charges are placed on the y-axis: a charge q at y = a, a charge - 2q at the origin, and a charge q at y = -a. Such an arrangement is called an electric quadrupole. (a) Find the magnitude...
Self-Energy of a Sphere of Charge A solid sphere of radius R contains a total charge Q distributed uniformly throughout its volume. Find the energy needed to assemble this charge by bringing...
Light of wavelength 585 urn falls on a slit 0.0666mm wide (a) On a very large distant screen, how many totally dark fringes (indicating complete cancellation) will there be, including both sides of...
A standing-wave pattern is observed in a thin wire with a length of 3.00 m. The equation of the wave is where x is in meters and t is in seconds. y = (0.002 m) sin (x) cos (100t) (a) How many loops...
The roller-coaster car shown in Fig. 6-41 is dragged up to point 1 where it is released from rest. Assuming no friction, calculate the speed at points 2, 3, and 4. 28 m 15 m 35 m
A 0.65-mm-diameter copper wire carries a tiny current of 2.3 A. What is the electron drift speed in the wire?
A helium-filled balloon escapes a childs hand at sea level and 20.0oC. When it reaches an altitude of 3000m, where the temperature is 5.0oC and the pressure is only 0.70atm, how will its volume...
(a) Determine the amount of work (in joules) that must be done on a 100-kg payload to elevate it to a height of 1 000 km above the Earths surface. (b) Determine the amount of additional work that is...
A bridge truss extends 200 m across a river (Fig. P12.68). The structure is free to slide horizontally to permit thermal expansion. The structural components are connected by pin joints, and the...
Exploring Venus the surface pressure on Venus is 92 am, and the acceleration due to gravity there is 0.894g. In a future exploratory mission, an upright cylindrical tank of benzene is sealed at the...
In Figure a, a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.20 kg) and embeds itself in block 2 (mass 1.80 kg). The...
The intake in Figure has cross-sectional area of 0.74 m2 and water flow at 0.40 m/s. At the outlet, distance D = 180 m below the intake, the cross-sectional area is smaller than at the intake and the...
A car traveling 56.0 km/h rs 24.0 m from a barrier when the driver slams on the brakes, the car hits the barrier 2.00 s later. (a) What is the magnitude of the car's constant acceleration before...
George of the Jungle, with mass m, swings on a light vine hanging from a stationary tree branch. A second vine of equal length hangs from the same point, and a gorilla of larger mass M swings in the...