Animal Propulsion Squids and octopuses propel themselves by expelling water. They do this by keeping water in a cavity and then suddenly contracting the cavity to force out the water through an...
(a) A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in Figure P31.9. (a) Determine the magnetic flux...
As a physicist, you put heat into a 500.0-g solid sample at the rate of 10.0 kJ/min, while recording its temperature as a function of time .You plot your data and obtain the graph shown in Fig....
What is the momentum of a 750-MeV proton (that is, its kinetic energy is 750 MeV?
(a) Consider an extended object whose different portions have different elevations. Assume the free-fall acceleration is uniform over the object. Prove that the gravitational potential energy of the...
In a truck-loading station at a post office a small O.200-kg Package is released from rest at point A on a track that is one-quarter of a circle with radius 1.60 m (Fig. 7.39). The size of the...
Two identical thin rods, each with mass m and length L, are joined at right angles to form an L-shaped object. This object is balanced on top of a shath edge (Fig. 13.41). If the L-shaped object is...
A 0.400-kg object undergoing SHM has ax = -2.70 m/s when x = 0.300 In. What is the time for one oscillation?
An atomic nucleus suddenly bursts apart (fissions) into two pieces. Piece A, of mass mA' travels off to the left with speed VA Piece B, of mass mB, travels off to the right with speed VB' (a) Use...
A spaceship flies past Mars with a speed of 0.985c relative to the surface of the planet. When the spaceship is directly overhead, a signal light on the Martian surface blinks on and then off. An...
Complex wave vectors in the energy gap find an expression for the imaginary part of the wave vector in the energy gap at the boundary of the first Brillouin zone, in the approximation that led to Eq....
A 975-kg car has its tires each inflated to "32.0 pounds (a) What are the absolute and gauge pressures in these tires in lb/in.', Pa, and atm? (b) If the tires were perfectly round, could the tire...
The deepest point known in any of the earth's oceans is in the Marianas Trench, 10.92 k/D deep. (a) Assuming water is incompressible, what is the pressure at this depth? Use the density of seawater....
In the Compton Effect, a 0.100-nm photon strikes a free electron in a head-on-collision and knocks it into the forward direction. The rebounding photon recoils directly backward. Use conservation of...
A cutting tool under microprocessor control has several forces acting on it. One force is F = _axy2j, a force in the negative y-direction whose magnitude depends on the position of the tool. The...
The bolts on the cylinder head of an engine require tightening to a torque of 88m N. If a wrench is 28 cm long, what force perpendicular to the wrench must the mechanic exert at its end? If the...
A flexible rope of length 1.0 m slides from a frictionless table top as shown in Figure 9-E the rope is initially released from rest with 30 cm hanging over the edge of the table. Find the time at...
Figure P31.68 shows a stationary conductor whose shape is similar to the letter e. The radius of its circular portion is a = 50.0 cm. It is placed in a constant magnetic field of 0.500 T directed out...
Water and then oil (which dont mix) are poured into a U-shaped tube, open at both ends. They come to equilibrium as shown in Fig. 10-49. What is the density of the oil?. 9,41 cm 27.2 Oil em Water
A converging lens with a focal length of 90.0cm forms an image of a 3.20-cm-tall real object that is to the left of the lens. The image is 4.50 cm tall and inverted. Where are the object and image...
The B-string of a guitar is made of steel (density 7800 kg/m3), is 63.5 cm long, and has diameter 0.406 mm. The fundamental frequency is f= 247.0 Hz. (a) Find the string tension. (b) If the tension F...
A volume of air(assumed to be an ideal gas) is first cooled with out changing its volume and then expanded without changing its pressure, as shown by the path abc in Fig. 19.30. (a) How does Ute...
Doorway Diffraction Sound of frequency 1250Hz leaves a room through a 1.0 D-m-wide doorway (see Exercise 36.5). At which angles relative to the centerline perpendicular to the doorway will someone...
A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 5.0 m/s'. Secret agent Austin Powers jump on just as the helicopter lifts off the ground. Meter the two men struggle...
In Figure P30.17, the current in the long, straight wire is I1 = 5.00 A and the wire lies in the plane of the rectangular loop, which carries the current I2 = 10.0 A. The dimensions are c = 0.100 m,...
A mass m slides down a smooth inclined plane from an initial vertical height h, making an angle a with the horizontal. (a) The work done by a force is the sum of the work done by the components of...
In Figure P31.30, the bar magnet is moved toward the loop. Is Va - Vb positive, negative, or zero? Explain. Motion toward the loop
Launch of the Space Shuttle at launch the space shuttle weighs 4.5 million pounds. When it is launched from rest, it takes 8.00 s to reach 161 km/h, and at the end of the first 1.00 min its speed is...
What particle (a particle, electron, or positron) is emitted in the following radioactive decays? (a) 2714Si 2713Al; (b) 23892U 23490Th; (c) 7433As 7434Se.
A sample of monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Figure P21.67). It is heated at constant volume to 3.00 atm (point B). Then it is allowed to expand...
A small, 2.00-g plastic ball is suspended by a 20.0-cm-long string in a uniform electric field as shown in Figure P23.54. If the ball is in equilibrium when the string makes a 15.0° angle with...
An alert hiker sees a boulder fall from the top of a distant cliff and notes that it takes 1.30 s for the boulder to fall the last third of the way to the ground. You may ignore air resistance. (a)...
To study damage to aircraft that collide with large birds, you design a test gun that will accelerate chicken-sized objects so that their displacement along the gun barrel is given by x = (9.0 X 103...
A 0.150-kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.80 m/s. It has a head-on collision with a 0.300-kg glider that is moving to the left with a speed of...
A compound disk of outside diameter 140.0 cm is made up of a uniform solid disk of radius 50.0 cm and area density 3.00 g/cm2 surrounded by a concentric ring of inner radius 50.0 cm, outer radius...
In Fig. 20-54, a ling straight wire carries current l out of the page toward you. Indicate, with appropriate arrows, the direction of B at each of the points C, D, and E in the plane of the page. D E
At 6:00 AM a hospital uses its cyclotron to make 1 milligram of the isotope fluorine-18 for use as a diagnostic tool with its PET scanner. The half-life of F-l 8 is 1.8 hours. How much F-l8 is left...
A 0.400 kg sample is placed in a cooling apparatus that removes energy as heat at a constant rate. Figure gives the temperature T of the sample versus time t; the horizontal scale is set by ts = 80.0...
A potter is shaping a bowl on a potters wheel rotating at constant angular speed (Fig. 8-42). The friction force between her hands and the day is 1.5 N totals (a) How large is her torque on the...
A beam of green light is diffracted by a slit of width 0.550 mm. The diffraction pattern forms on a wall 2.06 m beyond the slit. The distance between the positions of zero intensity on both sides of...
Figure shows a plot of potential energy U versus position x of a 0.90 kg particle that can travel only along an x axis. (Non conservative forces are not involved.) Three values are UA = 15.0J, UB =...
A magnetic field of 37.2 T has been achieved at the MIT Francis Bitter National Magnetic Laboratory. Find the current needed to achieve such a field (a) 2.00 cm from a long, straight wire; (b) At the...
A magician pulls a tablecloth from under a 200-g mug located 30.0 cm from the edge of the cloth. The cloth exerts a friction force of 0.100 N on the mug, and the cloth is pulled with a constant...
The free-rolling ramp has a mass of 40 kg. A 10-kg crate is released from rest at A and slides down 3.5 m to point B. if the surface of the ramp is smooth, determine the ramps speed when the crate...
Two large parallel metal plates are oriented horizontally and separated by a distance 3d. A grounded conducting wire joins them, and initially each plate carries no charge. Now a third identical...
A 1400-kg sports car accelerates from rest to 95 km/h in 7.4s. What is the average power delivered by the engine?
An object of mass m1 = 9.00 kg is in equilibrium while connected to a light spring of constant k = 100 N/m that is fastened to a wall as shown in Figure P15.52a. A second object, m2 = 7.00 kg, is...
Consider a spring that does not obey Hooke's law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount x, a force along the x-axis with x-component F....
Two very large parallel sheets are 5.00 cm apart. Sheet A carries a uniform surface charge density of -9.50 C/m2, and sheet B, which is to the right of A, carries a uniform charge of -11.6 C/m2....
(a) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 10.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mol. (b) Electrons are...
A rotating electric dipole can be thought of as the superposition of two oscillating dipoles, one along the x axis, and the other along the y axis (Fig. 11.7), with the latter out of phase by 90o: p...
A stream of protons, each with a speed of 0.9900c is directed into a two-slit experiment where the slit separation is 4.00 x 10-9 m. A two-slit interference pattern is built up on the viewing screen....
Use superposition to find Vo in the circuit of Fig. 4.86. 1 0.5 2 10 V 2 A
You blow across the open mouth of an empty test tube and produce the fundamental standing wave of the air column inside the rest tube. The speed of sound in air is 344 m/s and the test tube acts as a...
A block of mass 0.500 kg is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x (Fig. P8.61). The force constant of the spring is 450 N/m. When it is...
A siphon, as shown in Fig. 14.47, is a convenient device for removing liquids from containers. To establish the How, the tube must be initially filled with fluid. Let the fluid have density p, and...
The presence of an unseen planet orbiting a distant star can sometimes be inferred from the motion of the star ab we see it. As the star and planet orbit the center of mass of the star-planet system,...
You are trying to raise a bicycle wheel of mass m and radius R up over a curb of height h. To do this, you apply a horizontal force F (Fig. 11.52). What is the smallest magnitude of the force F that...
A 120-kg mail bag hangs by a vertical rope 3.5 m long. A postal worker then displaces the bag to a position 2.0 m sideways from its original position, always keeping the rope taut. (a) What...
An average human weighs about 650 N. If two such generic humans each carried 1.0 coulomb of excess charge, one positive and one negative, how far apart would they have to be for the electric...
A metal sphere with radius ra = 1.20 cm is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius r b = 9.60 cm. Charge +q is put on the inner sphere and...
Nuclear Fission The unstable nucleus of uranium- 236 can be regarded as a uniformly charged sphere of charge Q = +92e and radius R = 7.4 X 10-l5 m. In nuclear fission, this can divide into two...
A straight piece of conducting wire with mass M and length L is placed on a frictionless incline tilted at an angle θ from the horizontal (Fig). There is a uniform, vertical magnetic field B at...
Assume that a hailstone at 0C falls through air at a uniform temperature of 0C and lands on a sidewalk also at this temperature. From what initial height must the hailstone fall in order to entirely...
A roller coaster car (Fig.P6.19) has a mass of 500 kg when fully loaded with passengers. (a) If the vehicle has a speed of 20.0 m/s at point θ, what is the force exerted by the track on the car...
A dramatic demonstration, called singing rods, involves a long, slender aluminum rod held in the hand near the rods midpoint. The rod is stroked with the other hand. With a little practice, the rod...
Four closed surfaces, S1 through S4, together with the charges −2Q, Q, and −Q are sketched in Figure P24.11. (The colored lines are the intersections of the surfaces with the page.) Find...
A long, straight wire carrying a current of 200 A, runs trough a cubical wooden box, entering and leaving through holes in the centres of opposite faces (Fig). The length of each side of the e- box...
In Figure 37.5 let L = 1.20 m and d = 0.120 mm and assume that the slit system is illuminated with monochromatic 500-nm light. Calculate the phase difference between the two wave fronts arriving at P...
A bead with mass 1.8 x 10 -2 kg is moving along a wire in the positive direction of an x axis. Beginning at time t = 0, when the bead passes through x = 0 with speed 12 m/s, a constant force acts on...
A chair of mass 12.0 kg is sitting on the horizontal floor; the floor is not frictionless. You push on the chair with a force F = 40.0 N that is directed at an angle of 37.ft' below the horizontal...
A particle moves along the x-axis while acted on by a single conservative force parallel to the x. axis. The force corresponds to the potential-energy function graphed in Fig. 7.45. The particle is...
The 4.00-kg block in Figure is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in the diagram and the tension...
A crate of mass M starts from rest at the top of a frictionless ramp inclined at an angle a above the horizontal. Find its speed at the bottom of the ramp, a distance d from where it started. Do this...
Before cranberry can make it to your dinner plate, it must pass a bouncing test which rates it quality. If cranberries having an e > 0.8a are to be accepted, determined the dimensions d and h for the...
The Lagoon Nebula (Fig. 18.28) is a cloud of hydrogen gas located 3900 light-years from the earth. The cloud is about 45 light years in diameter and glows because of its high temperature of 7500 K....
A circular loop of wire with area A lies in the xy-plane. As viewed along the z-axis looking in the - z-direction toward the origin, a current I is circulating clockwise around the loop. The torque...
A block of mass 3.00 kg is pushed up against a wall by a force P that makes a 50.0° angle with the horizontal as shown in Figure P5.46. The coefficient of static friction between the block and...
Calculate (a) The tension FT in the wire that supports the 27-kg beam shown in Fig. 9-52, and (b) The force FW exerted by the wall on the beam (give magnitude and direction) Fw FT 40 CG Tmg
Calculate the mean free path of air molecules at a pressure of 3.50 X 10-13 atm and a temperature of 300 K. (This pressure is readily attainable in the laboratory; see Exercise 18.24.) As in Example...
The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P1 = 400 kN and P2 = 360 kN acting at points A and D, respectively (see figure). Bars BE and CF...
What is the magnitude of the electric field at the point (3.00i 2.00j + 4.00k) m if the electric potential is given by V = 2.00xyz2, where V is in volts and x, y, and z are in meters?
You have a 200- resistor, a 0.400-H inductor, and a 6.00-F capacitor. Suppose you take the resistor and inductor and make a series circuit with a voltage source that has voltage amplitude 30.0 V and...
A 1.00-mol sample of a monatomic ideal gas is taken through the cycle shown in Figure P22.65. At point A, the pressure, volume, and temperature are Pi , Vi , and Ti , respectively. In terms of R and...
A 2.50-kg textbook is forced against a horizontal spring of negligible mass and force constant 250 N/m, compressing the spring a distance of 0.250 m. When released, the textbook slides on a...
A constant-volume gas thermometer is calibrated in dry ice (that is, carbon dioxide in the solid state, which has a temperature of - 80.0C) and in boiling ethyl alcohol (78.0C). The two pressures are...
A farm gate (Fig. P12.44) is 3.00 m wide and 1.80 m high, with hinges attached to the top and bottom. The guy wire makes an angle of 30.0° with the top of the gate and is tightened by a...
A 3.00-L tank contains air at 3.00 atm and 20.0oC. The tank is sealed and cooled until the pressure is 1.00 atm. (a) What is the temperature then in degrees Celsius? Assume that the volume of the...
A dated box of dates, of mass 5.00 kg, is sent sliding up a frictionless ramp at an angle of to the horizontal. Figure gives, as a function of time t, the component vx of the box's velocity along an...
A parallel beam of light containing two wavelengths, λ1 = 450nm and λ2 = 650nm, enters the silicate flint glass of an equilateral prism as shown in Fig. 24-58. At what angle does each...
In Figure a frictionless roller-coaster car of mass m - 825 kg tops the first hill with speed v0 = 17 .0 m/s at height h = 42.0 m. How much work does the gravitational force do on the car from that...
A radio-controlled model airplane has a momentum given by [( -0.75 kg' m/s')t2 + (3.0 kg' m/s)]i+ (0.25 kg' m/s2 )tj. What are the X-, y-, and z-components of the net force on the airplane?
As a health physicist, you are being consulted about a spill in a radiochemistry lab. The isotope spilled was 500Ci of 131Ba, which has a half-life of 12 days. (a) What mass of 131Ba was spilled? (b)...
Consider a particle that feels an angular force only, of the form F = mr. (Theres nothing all that physical about this force. It simply makes the F = m equations solvable.) Show that r = Aln r + B,...
A cylindrical tungsten filament 15.0 cm long with a diameter of 1.00 mm is to be used in a machine for which the temperature will range from room temperature (20C) up to 120C. It will carry a current...
A certain sound source is increased in sound level by 30.0 dB. By what multiple is (a) Its intensity increased and (b) Its pressure amplitude increased?
The Spinning Figure Skater the outstretched hands and arms of a figure skater preparing for a spin can be considered a slender rod pivoting about an axis through its center (Fig. 10.49). When the...
Two piers, A and B, are located on a river: B is 1500 m downstream from A (Fig. 3.44). Two friends must make round trips from pier A to pier B and return. One rows a boat at a constant speed of 4.00...
The wave function of a standing wave is y(x, t) = 4.44 mm sin [(32.5 rad/m) x] sin [(754rad/s) t]. For the two traveling waves that make up this standing wave, find the (a) Amplitude; (b) Wavelength;...
For a satellite to be in a circular orbit 780 km above the surface of the earth, (a) What orbital speed must it be given, and (b) What is the period of the orbit (in hours)?