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The 100 kg block in FIGURE EX7.25 takes 6.0 s to reach the floor after being released from rest. What is the mass of the block on the left? The pulley is massless and frictionless. 100 kg | 1.0 m... The coefficient of kinetic friction between the 2.0 kg block in FIGURE P7.38 and the table is 0.30. What is the acceleration of the 2.0 kg block? 2.0 kg 3.0 kg 1.0 kg FIGURE P7.38 At a particular location in a counter current stripper for removal of solute A from a liquid stream, the mole fraction of solute A in the gas phase is 0.010, and the mole fraction of this species in... The 1.0 kg block in FIGURE EX7.24 is tied to the wall with a rope. It sits on top of the 2.0 kg block. The lower block is pulled to the right with a tension force of 20 N. The coefficient of kinetic... Figure EX26.4 is a graph of E x . The potential at the origin is -50 V. What is the potential at x = 3.0 m? E, (V/m) 200 100 0+ -x (m) 3 1 FIGURE EX26.4 2. Both batteries in Figure Q27.7 are ideal and identical, and all lightbulbs are the same. Rank in order, from brightest to least bright, the brightness of bulbs a to c. Explain. 000 000 FIGURE Q27.7 a. In FIGURE EX10.27, what minimum speed does a 100 g particle need at point A to reach point B? b. What minimum speed does a 100 g particle need at point B to reach point A? U (J) 5- 2- 0+ B FIGURE... A particle that can move along the x-axis is part of a system with potential energy where A and B are positive constants. a. Where are the particles equilibrium positions? b. For each, is it a point... A 200 g ball is dropped from a height of 2.0 m, bounces on a hard floor, and rebounds to a height of 1.5 m. FIGURE P11.41 shows the impulse received from the floor. What maximum force does the floor... You are given the equation(s) used to solve a problem. For each of these, you are to a. Write a realistic problem for which this is the correct equation(s). b. Finish the solution of the problem,... A 5.0 kg cat and a 2.0 kg bowl of tuna fish are at opposite ends of the 4.0-m-long seesaw of Figure EX12.32. How far to the left of the pivot must a 4.0 kg cat stand to keep the seesaw balanced? 2.0... Your task in a science contest is to stack four identical uniform bricks, each of length L, so that the top brick is as far to the right as possible without the stack falling over. Is it possible, as... What are the speed and altitude of a geosynchronous satellite orbiting Mars? Mars rotates on its axis once every 24.8 hours. The two stars in a binary star system have masses 2.0 10 30 kg and 6.0 10 30 kg. They are separated by 2.0 10 12 m. What are a. The systems rotation period, in years? b. The speed of each star? A 30-cm-tall, 4.0-cm-diameter plastic tube has a sealed bottom. 250 g of lead pellets are poured into the bottom of the tube, whose mass is 30 g, then the tube is lowered into a liquid. The tube... FIGURE EX15.7 is the position-versus-time graph of a particle in simple harmonic motion. a. What is the phase constant?b. What is the velocity at t = 0 s?c. What is v max ? () 10- 5- 2 (s) 4 1 3 -5-... A 200 g ball is tied to a string. It is pulled to an angle of 8.0 and released to swing as a pendulum. A student with a stopwatch finds that 10 oscillations take 12 s. How long is the string? The amplitude of an oscillator decreases to 36.8% of its initial value in 10.0 s. What is the value of the time constant? Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end of a large... A uniform rod of mass M and length L swings as a pendulum on a pivot at distance L/4 from one end of the rod. Find an expression for the frequency f of small-angle oscillations. A solid sphere of mass M and radius R is suspended from a thin rod, as shown in FIGURE CP15.77. The sphere can swing back and forth at the bottom of the rod. Find an expression for the frequency f of... A spring is standing upright on a table with its bottom end fastened to the table. A block is dropped from a height 3.0 cm above the top of the spring. The block sticks to the top end of the spring... FIGURE CP15.81 shows a 200 g uniform rod pivoted at one end. The other end is attached to a horizontal spring. The spring is neither stretched nor compressed when the rod hangs straight down. What is... A hammer taps on the end of a 4.00-m-long metal bar at room temperature. A microphone at the other end of the bar picks up two pulses of sound, one that travels through the metal and one that travels... A loudspeaker at the origin emits a 120 Hz tone on a day when the speed of sound is 340 m/s. The phase difference between two points on the x-axis is 5.5 rad. What is the distance between these two... During takeoff, the sound intensity level of a jet engine is 140 dB at a distance of 30 m. What is the sound intensity level at a distance of 1.0 km? A friend of yours is loudly singing a single note at 400 Hz while racing toward you at 25.0 m/s on a day when the speed of sound is 340 m/s. a. What frequency do you hear? b. What frequency does your... A loudspeaker, mounted on a tall pole, is engineered to emit 75% of its sound energy into the forward hemisphere, 25% toward the back. You measure an 85 dB sound intensity level when standing 3.5 m... Some modern optical devices are made with glass whose index of refraction changes with distance from the front surface. FIGURE CP16.84 shows the index of refraction as a function of the distance into... A water wave is a shallow-water wave if the water depth d is less than /10. It is shown in hydrodynamics that the speed of a shallow-water wave is v = gd, so waves slow down as they move into... A surveyor has a steel measuring tape that is calibrated to be 100.000 m long (i.e., accurate to 1 mm) at 20C. If she measures the distance between two stakes to be 65.175 m on a 3C day, does she... 0.10 mol of argon gas is admitted to an evacuated 50 cm 3 container at 20C. The gas then undergoes an isobaric heating to a temperature of 300C. a. What is the final volume of the gas? b. Show the... A 1.0 m 1.0 m 1.0 m cube of nitrogen gas is at 20C and 1.0 atm. Estimate the number of molecules in the cube with a speed between 700 m/s and 1000 m/s. At STP, what is the total translational kinetic energy of the molecules in 1.0 mol of (a) Hydrogen, (b) Helium, (c) Oxygen? A particle in a box is in the ground level. What is the probability of finding the particle in the right half of the box? (Refer to Fig. 40.12, but dont evaluate an integral.) Is the answer the same... How much heat is exhausted to the cold reservoir by the heat engine shown in FIGURE EX21.16? p (kPa) 225 J 300- 200- 90 J 100- V (cm') 0+ 300 600 FIGURE EX21.16 The ideal gas in a Carnot engine extracts 1000 J of heat energy during the isothermal expansion at 300C. How much heat energy is exhausted during the isothermal compression at 50C? The gasoline engine in your car can be modeled as the Otto cycle shown in FIGURE CP21.73. A fuel-air mixture is sprayed into the cylinder at point 1, where the piston is at its farthest distance from... A +12 nC charge is located at the origin. a. What are the electric fields at the positions (x, y) = (5.0 cm, 0 cm), (-5.0 cm, 5.0 cm), and (-5.0 cm, -5.0 cm)? Write each electric field vector in... A 12 nC charge is located at (x, y) = (1.0 cm, 0 cm). What are the electric fields at the positions (x, y) = (5.0 cm, 0 cm), (-5.0 cm, 0 cm), and (0 cm, 5.0 cm)? Write each electric field vector in... A 0.10 g honeybee acquires a charge of +23 pC while flying. a. The earths electric field near the surface is typically (100 N/C, downward). What is the ratio of the electric force on the bee to the... What is the force F on the -10 nC charge in FIGURE P22.41? Give your answer as a magnitude and an angle measured cw or ccw (specify which) from the +x@axis. -15 nC 5.0 nC 3.0 cm (+) 1.0 cm -10 nC... An electric field E = 200,000 in N/C causes the point charge in FIGURE P25.68 to hang at an angle. What is θ? | 25 nC (+) 2.0 g FIGURE P22.68 In Section 22.3 we claimed that a charged object exerts a net attractive force on an electric dipole. Lets investigate this. FIGURE CP22.77 shows a permanent electric dipole consisting of charges +q... Two circular disks spaced 0.50 mm apart form a parallel plate capacitor. Transferring 3.0 10 9 electrons from one disk to the other causes the electric field strength to be 2.0 10 5 N/C. What are... The ionization energies of the alkali metals (that is, the lowest energy required to remove one outer electron when the atom is in its ground state) are about 4 or 5 eV, while those of the noble... Your physics assignment is to figure out a way to use electricity to launch a small 6.0-cm-long plastic drink stirrer. You decide that youll charge the little plastic rod by rubbing it with fur, then... A 2.0-mm-diameter glass sphere has a charge of +1.0 nC. What speed does an electron need to orbit the sphere 1.0 mm above the surface? The electric field strength is 20,000 N/C inside a parallel plate capacitor with a 1.0 mm spacing. An electron is released from rest at the negative plate. What is the electrons speed when it reaches... A proton is released from rest at the positive plate of a parallelplate capacitor. It crosses the capacitor and reaches the negative plate with a speed of 50,000 m/s. What will be the final speed of... Rank in order, from most positive to most negative, the potential energies U a to U f of the six electric dipoles in the uniform electric field of FIGURE Q25.5. Explain. a d. e A -10.0 nC point charge and a +20.0 nC point charge are 15.0 cm apart on the x-axis. a. What is the electric potential at the point on the x-axis where the electric field is zero? b. What is the... The arrangement of charges shown in FIGURE P25.68 is called a linear electric quadrupole. The positive charges are located at y = ±s. Notice that the net charge is zero. Find an expression for... FIGURE P25.69 shows a thin rod of length L and charge Q. Find an expression for the electric potential a distance z away from the center of rod on the line that bisects the rod. -Point on bisecting... What are the strength and direction of the electric field at the position indicated by the dot in FIGURE P23.35? Give your answer (a) In component form. (b) As a magnitude and angle measured cw or... A sculptor has asked you to help electroplate gold onto a brass statue. You know that the charge carriers in the ionic solution are singly charged gold ions, and youve calculated that you must... The biochemistry that takes place inside cells depends on various elements, such as sodium, potassium, and calcium, that are dissolved in water as ions. These ions enter cells through narrow pores in... Electrical engineers sometimes use a wires conductance, G = A/L, instead of its resistance. a. Write Ohms law in terms of conductance, starting with V = . b. What is the conductance of a 5.4-cm-long,... Two 10-cm-diameter metal plates 1.0 cm apart are charged to 12.5 nC. They are suddenly connected together by a 0.224-mm-diameter copper wire stretched taut from the center of one plate to the center... The switch in FIGURE CP28.80 has been closed for a very long time. a. What is the charge on the capacitor?b. The switch is opened at t = 0 s. At what time has the charge on the capacitor decreased to... The flash on a compact camera stores energy in a 120 F capacitor that is charged to 220 V. When the flash is fired, the capacitor is quickly discharged through a lightbulb with 5.0 of resistance. a.... For the circuit shown in FIGURE P28.62, find the current through and the potential difference across each resistor. Place your results in a table for ease of reading. 24 0 5 ww ww 12 V 12 3 V FIGURE... For the circuit shown in FIGURE P28.58, find the current through and the potential difference across each resistor. Place your results in a table for ease of reading. 6 50 24 V= 10 ww FIGURE P28.58 How much power is dissipated by each resistor in FIGURE EX28.8? R = 12 N 12 V R = 18 0 FIGURE EX28.8 ww Draw a circuit diagram for the circuit of FIGURE EX28.2. 100 0 50n 12 V 10 uF FIGURE EX28.2 What is the equivalent resistance between points a and b in FIGURE EX28.25? a 60 40 210 60 N60 N 45 b FIGURE EX28.25 a. How many conduction electrons are there in a 1.0-mm diameter gold wire that is 10 cm long? b. How far must the sea of electrons in the wire move to deliver -32 nC of charge to an electrode? What is the current through the 20 resistor in FIGURE P28.61? 20 : 20 5 100 V FIGURE P28.61 A packed-bed liquid stripping process will be designed to remove benzene from contaminated wastewater. A liquid wastewater stream containing dissolved benzene of concentration 693 mg benzene/L (mole... The cooled exhaust gas from a reactor that makes silicon by the chemical vapor deposition of trichlorosilane contains 8.0 mole% anhydrous HC1 vapor and 92.0 mole % hydrogen (H 2 ) gas at 25°C.... A wire carries current I into the junction shown in FIGURE EX29.13. What is the magnetic field at the dot? Identical wires d FIGURE EX29.13 The earths magnetic dipole moment is 8.0 10 22 A m 2 . a. What is the magnetic field strength on the surface of the earth at the earths north magnetic pole? How does this compare to the value in... An electron moves in the magnetic field B = 0.50 i T with a speed of 1.0 10 7 m/s in the directions shown in FIGURE EX29.27.For each, what is magnetic force F on the electron? Give your answers in... Is the magnetic field strength in FIGURE Q30.9 increasing, decreasing, or steady? Explain. Induced E FIGURE Q30.9 The switch in FIGURE P30.77 has been open for a long time. It is closed at t = 0 s. a. After the switch has been closed for a long time, what is the current in the circuit? Call this current I 0 .b.... FIGURE P33.56 shows the light intensity on a screen behind a single slit. The slit width is 0.20 mm and the screen is 1.5 m behind the slit. What is the wavelength (in nm) of the light? Intensity Tx... FIGURE P33.36 shows the light intensity on a screen behind a double slit. The slit spacing is 0.20 mm and the screen is 2.0 m behind the slits. What is the wavelength (in nm) of the light? Intensity... Moving mirror M 2 of a Michelson interferometer a distance of 100 mm causes 500 bright-dark-bright fringe shifts. What is the wavelength of the light? Two 50@mm@wide slits spaced 0.25 mm apart are illuminated by blue laser light with a wavelength of 450 nm. The interference pattern is observed on a screen 2.0 m behind the slits. How many bright... Narrow, bright fringes are observed on a screen behind a diffraction grating. The entire experiment is then immersed in water. Do the fringes on the screen get closer together, get farther apart,... Consider the parallel RLC circuit shown in FIGURE CP32.72. a. Show that the current drawn from the emf is b. What is I in the limits ?? 0 and ?? ???c. Find the frequency for which I is a minimum.d.... A motor attached to a 120 V/60 Hz power line draws an 8.0 A current. Its average energy dissipation is 800 W. a. What is the power factor? b. What is the rms resistor voltage? c. What is the motors... In FIGURE P32.54, what is the current supplied by the emf when (a) The frequency is very small (b) The frequency is very large? 50 0 100 N 10 V rms : 20 F 50 mH FIGURE P32.54 FIGURE Q32.1 shows emf phasors a, b, and c. a. For each, what is the instantaneous value of the emf?b. At this instant, is the magnitude of each emf increasing, decreasing, or holding constant? 100 V... The electric field of a 450 MHz radio wave has a maximum rate of change of 4.5 10 11 (V/m)/s. What is the waves magnetic field amplitude? What is the electric field amplitude of an electromagnetic wave whose magnetic field amplitude is 2.0 mT? At what distance from a 10 W point source of electromagnetic waves is the magnetic field amplitude 1.0 T? Unpolarized light with intensity 350 W/m 2 passes first through a polarizing filter with its axis vertical, then through a second polarizing filter. It emerges from the second filter with intensity... What electric field strength and direction will allow the proton in FIGURE P31.30 to pass through this region of space without being deflected? B= 0.010 T- v = 2.0 x 107 m/s FIGURE P31.30 + A series RL circuit is built with a 110 resistor and a 5.0-cm long, 1.0-cm-diameter solenoid with 800 turns of wire. What is the peak magnetic flux through the solenoid if the circuit is driven by a... The intensity of an electromagnetic wave is 10 W/m 2 . What will the intensity be if: a. The amplitude of the electric field is doubled? b. The amplitude of the magnetic field is doubled? c. The... A laser beam in air is incident on a liquid at an angle of 53 with respect to the normal. The laser beams angle in the liquid is 35. What is the liquids index of refraction? Find the focal length of the planoconvex polystyrene plastic lens in FIGURE EX34.26. 40 cm Planoconvex lens FIGURE EX34.26 A 60-kg ice skater is standing on ice with ice skates (negligible friction). She is holding a flexible hose (essentially weightless) that directs a 2-cm-diameter stream of water horizontally parallel... A room in the lower level of a cruise ship has a 30-cm-diameter circular window. If the midpoint of the window is 4 m below the water surface, determine the hydrostatic force acting on the window,... A toroidal core has a square cross section, 2.5 cm < < 3.5 cm, 0.5 cm < z < 0.5 cm. The upper half of the toroid, 0 < z < 0.5 cm, is constructed of a linear material for which r = 10, while the... How is the hydrodynamic entry length defined for flow in a pipe? Is the entry length longer in laminar or turbulent flow? The velocity profile for the fully developed laminar flow of a Newtonian fluid between two large parallel plates is given by where 2h is the distance between the two plates, u 0 is the velocity at... A standardized biological microscope has an 8.0-mm-focal-length objective. What focal-length eyepiece should be used to achieve a total magnification of 100? In FIGURE P35.26, parallel rays from the left are focused to a point at two locations on the optical axis. Find the position of each location, giving your answer as a distance left or right of the...
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