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physics
college physics a strategic approach 2nd
College Physics A Strategic Approach 2nd Edition Randall D. Knight, Brian Jones, Stuart Field - Solutions
A wire is 2.3 m long and has a diameter of 0.38 mm. When connected to a 1.2 V battery, there is a current of 0.61 A. What material is the wire likely made of?
You've made the finals of the Science Olympics! As one of your tasks, you're given 1.0 g of copper and asked to make a wire, using all the metal, with a resistance of 1.0 Ω. Copper has a density of 8900 kg/m3. What length and diameter will you choose for your wire?
Not too long ago houses were protected from excessive cur- rents by fuses rather than circuit breakers. Sometimes a fuse blew out and a replacement wasn't at hand. Because a copper penny happens to have almost the same diameter as a fuse, some people replaced the fuse with a penny. Unfortunately, a
An immersion heater used to boil water for a single cup of tea plugs into a 120 V outlet and is rated at 300 W. a. What is the resistance of the heater? b. Suppose your super-size, super-insulated tea mug contains 400 g of water at a temperature of 18°C. How long will this heater take to bring
Is it ever possible for one sound wave in air to overtake and pass another? Explain.
Which has the greater density, 1 g of mercury or 1000 g of water?
A 100 mL beaker holds 120 g of liquid. What is the liquid's density in SI units?
Containers A and B have equal volumes. Container A holds helium gas at 1.0 atm pressure and 20°C. Container B is completely filled with a liquid whose mass is 7600 times the mass of helium gas in container A. Identify the liquid in B.
You are given an irregularly shaped chunk of material and asked to find its density. List the specific steps that you would follow to do so.
Air enclosed in a sphere has density p = 1.4 kg/m3. What will the density be if the radius of the sphere is halved, com- pressing the air within?
Object 1 has an irregular shape. Its density is 4000 kg/m3.a. Object 2 has the same shape and dimensions as object 1, but it is twice as massive. What is the density of object 2? b. Object 3 has the same mass and the same shape as object 1, but its size in all three dimensions is twice that of
When you get a blood transfusion the bag of blood is held above your body, but when you donate blood the collection bag is held below. Why is this?
To explore the bottom of a 10-m-deep lake, your friend Tom proposes to get a long garden hose, put one end on land and the other in his mouth for breathing underwater, and descend into the depths. Susan, who overhears the conversation, reacts with horror and warns Tom that he will not be able to
Ethyl alcohol has been added to 200 mL of water in a container that has a mass of 150 g when empty. The resulting container and liquid mixture has a mass of 512 g. What volume of alcohol was added to the water?
Helium-filled weather balloons are spherical when they reach very high altitudes. However, they are only partially inflated with helium before they are released. Explain why this is done.
A 35-cm-tall, 5.0-cm-diameter cylindrical beaker is filled to its brim with water. What is the downward force of the water on the bottom of the beaker?
Water expands when heated. Suppose a beaker of water is heated from 10°C to 90°C. Does the pressure at the bottom of the beaker increase, decrease, or stay the same? Explain.
Rank in order, from largest to smallest, the densities of objects A, B, and C in Figure Q13.15. Explain. A B FIGURE Q13.15 C
What is the gas pressure inside the box shown in Figure P13.16? gas 16 cm -Mercury FIGURE P13.16 6.0 cm
Refer to Figure Q13.16. Now A, B, and C have the same density, but still have the masses given in the figure. Rank in order, from largest to smallest, the sizes of the buoyant forces on A, B, and C. Explain. A 50 g B 40 g FIGURE Q13.16 C 50 g
Two pipes have the same inner cross-section area. One has a circular cross section and the other has a rectangular cross section with its height one-tenth its width. Through which pipe, if either, would it be easier to pump a viscous liquid? Explain.
An oil layer floats on 85 cm of water in a tank. The absolute pressure at the bottom of the tank is 112.0 kPa. How thick is the oil?
The little Dutch boy saved Holland by sticking his finger in the leaking dike. If the water level was 2.5 m above his finger, estimate the force of the water on his finger.
A 6.0-cm-tall cylinder floats in water with its axis perpendicular to the surface. The length of the cylinder above water is 2.0 cm. What is the cylinder's mass density?
A flat slab of styrofoam, with a density of 32 kg/m3, floats on a lake. What minimum volume must the slab have so that a 40 kg boy can sit on the slab without it sinking?
A child's water pistol shoots water through a 1.0-mm-diameter hole. If the pistol is fired horizontally 70 cm above the ground, a squirt hits the ground 1.2 m away. What is the volume flow rate during the squirt? Ignore air resistance.
The leaves of a tree lose water to the atmosphere via the process of transpiration. A particular tree loses water at the rate of 3 × 10-8 m3/s; this water is replenished by the upward flow of sap through vessels in the trunk. This tree's trunk contains about 2000 vessels, each 100 μm in diameter.
Figure P13.62 shows a section of a long tube that narrows near its open end to a diameter of 1.0 mm. Water at 20°C flows out of the open end at 0.020 L/s. What is the gauge pressure at point P, where the diameter is 4.0 mm? ●P 1.0 m FIGURE P13.62 1.0 m
Water flows at 5.0 L/s through a horizontal pipe that narrows smoothly from 10 cm diameter to 5.0 cm diameter. A pressure gauge in the narrow section reads 50 kPa. What is the reading of a pressure gauge in the wide section?
Suppose that in response to some stimulus a small blood vessel narrows to 90% its original diameter. If there is no change in the pressure across the vessel, what is the ratio of the new volume flow rate to the original flow rate?A. 0.66 B. 0.73 C. 0.81 D. 0.90
Sustained exercise can increase the blood flow rate of the heart by a factor of 5 with only a modest increase in blood pressure. This is a large change in flow. Although several factors come into play, which of the following physiological changes would most plausibly account for such a large
A person's heart rate is given in beats per minute. Is this a period or a frequency?
Figure Q14.3 shows the position-versus-time graph of a particle in SHM. a. At what time or times is the particle moving to the right at maximum speed? b. At what time or times is the particle moving to the left at maximum speed? c. At what time or times is the particle instantaneously at rest?
In the aftermath of an intense earthquake, the earth as a whole "rings" with a period of 54 minutes. What is the frequency (in Hz) of this oscillation?
In taking your pulse, you count 75 heartbeats in 1 min. What are the period (in s) and frequency (in Hz) of your heart's oscillations?
Make a table with 3 columns and 8 rows. In row 1, label the columns θ (°),θ (rad), and sineθ. In the left column, starting in row 2, write 0, 2, 4, 6, 8, 10, and 12. a. Convert each of these angles, in degrees, to radians. Put the results in column 2. Show four decimal places. b. Calculate
A heavy steel ball is hung from a cord to make a pendulum. The ball is pulled to the side so that the cord makes a 5° angle with the vertical. Holding the ball in place takes a force of 20 N. If the ball is pulled farther to the side so that the cord makes a 10° angle, what force is required to
What are the (a) amplitude and (b) frequency of the oscillation shown in Figure P14.8? x (cm) 10 MA 2 3 4 5 0 -5- -10- FIGURE P14.8 -t (s)
A block oscillating on a spring has a maximum kinetic energy of 2.0 J. What will be the maximum kinetic energy if the amplitude is doubled? Explain.
A block oscillating on a spring has a maximum speed of 30 cm/s. What will be the block's maximum speed if the initial elongation of the spring is doubled?
For the graph in Figure Q14.8, determine the frequency f and the oscillation amplitude A. x (cm) 10 0 -10 MA 4 2 FIGURE Q14.8 -1 (s)
What are the (a) amplitude and (b) frequency of the oscillation shown in Figure P14.9? x (cm) AA 2 6 8 20 10 0 -10 -20- FIGURE P14.9 -1 (s)
For the graph in Figure Q14.9, determine the frequency f and the oscillation amplitude A. v (cm/s) 10 0 M 2 -10 FIGURE Q14.9 4 -t (s)
An object in simple harmonic motion has an amplitude of 6.0 cm and a frequency of 0.50 Hz. Draw a position graph showing two cycles of the motion.
During an earthquake, the top of a building oscillates with an amplitude of 30 cm at 1.2 Hz. What are the magnitudes of (a) The maximum displacement, (b) The maximum velocity,(c) The maximum acceleration of the top of the building?
Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth on the waves. At one position on the ship, passengers experience a vertical motion of amplitude 1 m with a period of 15 s.a. To one significant figure, what is the maximum acceleration of the
Flies flap their wings at frequencies much too high for pure muscle action. A hypothesis for how they achieve these high frequencies is that the flapping of their wings is the driven oscillation of a mass-spring system. One way to test this is to trim a fly's wings. If the oscillation of the wings
A passenger car traveling down a rough road bounces up and down at 1.3 Hz with a maximum vertical acceleration of 0.20 m/s2, both typical values. What are the (a) Amplitude.(b) Maximum speed of the oscillation?
The New England Merchants Bank Building in Boston is 152 m high. On windy days it sways with a frequency of 0.17 Hz, and the acceleration of the top of the building can reach 2.0% of the free-fall acceleration, enough to cause discomfort for occupants. What is the total distance, side to side, that
If you want to play a tune on wine glasses, you'll need to adjust the oscillation frequencies by adding water to the glasses. This changes the mass that oscillates (more water means more mass) but not the restoring force, which is deter- mined by the stiffness of the glass itself. If you need to
Sprinters push off from the ball of their foot, then bend their knee to bring their foot up close to the body as they swing their leg forward for the next stride. Why is this an effective strategy for running fast?
Gibbons move through the trees by swinging from successive handholds, as we have seen. To increase their speed, gibbons may bring their legs close to their bodies. How does this help them move more quickly?
Humans have a range of hearing of approximately 20 Hz to 20 kHz. Mice have auditory systems similar to humans, but all of the physical elements are smaller. Given this, would you expect mice to have a higher or lower frequency range than humans? Explain.
A person driving a truck on a "washboard" road, one with regularly spaced bumps, notices an interesting effect: When the truck travels at low speed, the amplitude of the vertical motion of the car is small. If the truck's speed is increased, the amplitude of the vertical motion also increases,
A 507 g mass oscillates with an amplitude of 10.0 cm on a spring whose spring constant is 20.0 N/m. Determine:a. The period. b. The maximum speed.c. The total energy.
Figure Q14.23 represents the motion of a mass on a spring.a. What is the period of this oscillation? A. 12 s B. 24 s C. 36 s D. 48 s E. 50 sb. What is the amplitude of the oscillation? A. 1.0 cm B. 2.5 cm C. 4.5 cm D. 5.0 cm E. 9.0 cm c. What is the position of the mass at time / = 30
We've seen that stout tendons in the legs of hopping kangaroos store energy. When a kangaroo lands, much of the kinetic energy of motion is converted to elastic energy as the tendons stretch, returning to kinetic energy when the kangaroo again leaves the ground. If a hopping kangaroo increases its
If you carry heavy weights in your hands, how will this affect the natural frequency at which your arms swing back and forth? A. The frequency will increase. B. The frequency will stay the same. C. The frequency will decrease.
Suppose you travel to the moon, and you take with you two timepieces: a pendulum clock and a wristwatch that runs with a wheel and a mainspring. (The wheel and spring work, essentially, like a mass on a spring, but the wheel rotates back and forth rather than moving up and down.) Which will keep
The free-fall acceleration on the moon is 1.62 m/s2. What is the length of a pendulum whose period on the moon matches the period of a 2.00-m-long pendulum on the earth?
Very loud sounds can damage hearing by injuring the vibration-sensing hair cells on the basilar membrane. Suppose a person has injured hair cells on a segment of the basilar mem- brane close to the stapes. What type of sound is most likely to have produced this particular pattern of damage? A.
A building is being knocked down with a wrecking ball, which is a big metal sphere that swings on a 10-m-long cable. You are (unwisely!) standing directly beneath the point from which the wrecking ball is hung when you notice that the ball has just been released and is swinging directly toward you.
A pendulum clock keeps time by the swinging of a uniform solid rod pivoted at one end. The angular position of the rod is given by θ(t) = (0.175 rad) sin(πt), where t is in seconds. a. What is the angular position of the rod at t = 0.250 s? b. What is the period of oscillation? c. How long is
You and your friends find a rope that hangs down 15 m from a high tree branch right at the edge of a river. You find that you can run, grab the rope, and swing out over the river. You run at 2.0 m/s and grab the rope, launching yourself out over the river. How long must you hang on if you want to
A thin, circular hoop with a radius of 0.22 m is hanging from its rim on a nail. When pulled to the side and released, the hoop swings back and forth as a physical pendulum. The moment of inertia of a hoop for a rotational axis passing through its edge is I = 2MR2. What is the period of oscillation
When you drive your car over a bump, the springs connecting the wheels to the car compress. Your shock absorbers then damp the subsequent oscillation, keeping your car from bouncing up and down on the springs. Figure P14.38 shows real data for a car driven over a bump. Estimate the frequency and
A small earthquake starts a lamppost vibrating back and forth. The amplitude of the vibration of the top of the lamp- post is 6.5 cm at the moment the quake stops, and 8.0 s later it is 1.8 cm. a. What is the time constant for the damping of the oscillation? b. What was the amplitude of the
Your car rides on springs, so it will have a natural frequency of oscillation. Figure P14.40 shows data for the amplitude of motion of a car driven at different frequencies. The car is driven at 20 mph over a washboard road with bumps spaced 10 feet apart; the resulting ride is quite bouncy. Should
A 25 kg child sits on a 2.0-m-long rope swing. You are going to give the child a small, brief push at regular intervals. If you want to increase the amplitude of her motion as quickly as possible, how much time should you wait between pushes?
A spring has an unstretched length of 12 cm. When an 80 g ball is hung from it, the length increases by 4.0 cm. Then the ball is pulled down another 4.0 cm and released. a. What is the spring constant of the spring? b. What is the period of the oscillation? c. Draw a position-versus-time graph
A 0.40 kg ball is suspended from a spring with spring constant 12 N/m. If the ball is pulled down 0.20 m from the equilibrium position and released, what is its maximum speed while it oscillates?
As we've seen, astronauts measure their mass by measuring the period of oscillation when sitting in a chair connected to a spring. The Body Mass Measurement Device on Skylab, a 1970s space station, had a spring constant of 606 N/m. The empty chair oscil- lated with a period of 0.901 s. What is the
Two 50 g blocks are held 30 cm above a table. As shown in Figure P14.59, one of them is just touching a 30-cm-long spring. The blocks are released at the same time. The block on the left hits the table at exactly the same instant as the block on the right first comes to an instantaneous rest. What
Four people with a combined mass of 300 kg are riding in a 1100 kg car. When they drive down a washboard road with bumps spaced 5.0 m apart, they notice that the car bounces up and down with a maximum amplitude when the car is traveling at 6.0 m/s. The driver stops the car and everyone exits the
Bungee Man is a superhero who does super deeds with the help of Super Bungee cords. The Super Bungee cords act like ideal springs no matter how much they are stretched. One day, Bungee Man stopped a school bus that had lost its brakes by hooking one end of a Super Bungee to the rear of the bus as
The earth's free-fall acceleration varies from 9.78 m/s2 at the equator to 9.83 m/s2 at the poles. A pendulum whose length is precisely 1.000 m can be used to measure g. Such a device is called a gravimeter.a. How long do 100 oscillations take at the equator? b. How long do 100 oscillations take
A pendulum clock has a heavy bob supported on a very thin steel rod that is 1.00000 m long at 20°C. a. To 6 significant figures, what is the clock's period? Assume that g is 9.80 m/s2 exactly. b. To 6 significant figures, what is the period if the temperature increases by 10°C? c. The clock
A pendulum consists of a massless, rigid rod with a mass at one end. The other end is pivoted on a frictionless pivot so that it can turn through a complete circle. The pendulum is inverted, so the mass is directly above the pivot point, then released. The speed of the mass as it passes through the
a. In your own words, define what a transverse wave is. b. Give an example of a wave that, from your own experience. you know is a transverse wave. What observations or evidence tells you this is a transverse wave?
The wave speed on a string under tension is 200 m/s. What is the speed if the tension is doubled?
a. In your own words, define what a longitudinal wave is. b. Give an example of a wave that, from your own experience, you know is a longitudinal wave. What observations or evidence tells you this is a longitudinal wave?
A wave travels along a string at a speed of 280 m/s. What will be the speed if the string is replaced by one made of the same material and under the same tension but having twice the radius?
The back wall of an auditorium is 26.0 m from the stage. If you are seated in the middle row, how much time elapses between a sound from the stage reaching your ear directly and the same sound reaching your ear after reflecting from the back wall?
An ultrasonic range finder sends out a pulse of ultrasound and measures the time between the emission of the pulse and the return of an echo from an object. This time is used to determine the distance to the object. To get good accuracy from the device, a user must enter the air temperature in the
In an early test of sound propagation through the ocean, an underwater explosion of 1 pound of dynamite in the Bahamas was detected 3200 km away on the coast of Africa. How much time elapsed between the explosion and the detection?
A thermostat on the wall of your house keeps track of the air temperature. This simple approach is of little use in the large volume of a covered sports stadium, but there are systems that determine an average temperature of the air in a stadium by measuring the time delay between the emission of a
Figure Q15.9 shows a history graph of the motion of one point on a string as a wave traveling to the left passes by. Sketch a snapshot graph for this wave. A FIGURE Q15.9
When water freezes, the density decreases and the bonds between molecules become stronger. Do you expect the speed of sound to be greater in liquid water or in water ice?
Figure P15.10 is a history graph at x = 2 m of a wave moving to the left at 1 m/s. Draw the snapshot graph of this wave at 1 = 0 s. y (cm) -2-1 -1- FIGURE P15.10 1 2 3 4 5 6 -1 (s)
A sinusoidal wave has period 0.20 s and wavelength 2.0 m. What is the wave speed?
A sinusoidal wave travels with speed 200 m/s. Its wave- length is 4.0 m. What is its frequency?
When you want to "snap" a towel, the best way to wrap the towel is so that the end that you hold and shake is thick, and the far end is thin. When you shake the thick end, a wave travels down the towel. How does wrapping the towel in a tapered shape help make for a good snap?
Figure P15.18 is a history graph at x = 0 m of a wave moving to the right at 2 m/s. What are the amplitude, frequency, and wavelength of this wave? y (cm) 3 -3- -6 0.2/0.4 0.6 0.8/1.0 FIGURE P15.18 1(s)
The volume control on your stereo is likely designed so that each time you turn it by one click, the loudness increases by a certain number of dB. Does each click increase the output power by a fixed amount as well?
A bullet can travel at a speed of over 1000 m/s. When a bullet is fired from a rifle, the actual firing makes a distinctive sound, but people at a distance may hear a second, different sound that is even louder. Explain the source of this sound.
A boat is traveling at 4.0 m/s in the same direction as an ocean wave of wavelength 30 m and speed 6.8 m/s. If the boat is on the crest of a wave, how much time will elapse until the boat is next on a crest?
Denver, Colorado, has an oldies station that calls itself "KOOL 105." This means that they broadcast radio waves at a frequency of 105 MHz. Suppose that they decide to describe their station by its wavelength (in meters), instead of by its frequency. What name would they now use?A. KOOL 0.35 B.
Figure Q16.6 shows a standing wave on a string that is oscillating at frequency fo. How many antinodes will there be if the frequency is doubled to 2fo? Explain. FIGURE Q16.6
Solar cells convert the energy of incoming light to electric energy; a good quality cell operates at an efficiency of 15%. Each person in the United States uses energy (for lighting, heating, transportation, etc.) at an average rate of 11 kW. Although sunlight varies with season and time of day,
Figure Q16.7 shows a standing sound wave in a tube of air that is open at both ends.a. Which mode (value of m) standing wave is this?b. Is the air vibrating horizontall y or vertically? FIGURE Q16.7
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