Use the complex representation to find the resultant E = E 1 + E 2 , where E 1 = E 0 cos (k x + t) and E 2 = -E 0 cos (k x - t) Describe the composite wave.

A baseball pitcher (m = 80 kg) is initially standing at rest on an extremely slippery, icy surface. He then throws a baseball (m = 0.14 kg) with a horizontal velocity of 50 m/s. What is the recoil...

A constant force of magnitude 25 N acts on an object for 3.0 s. What is the magnitude of the impulse?

Using the setup of Fig. 9.14, where the second lens has a focal length of f, determine an expression (in terms of f, , and a) for the separation between the centers of the first minima above and...

The light from an ordinary flashlight is passed through a linear polarizer with its transmission axis vertical. The resulting beam, having an irradiance of 200 W/m 2 , is incident normally on a...

(a) Draw a circuit diagram for an LFSR with n = 6 that generates a maximum-length sequence. (b) Add logic so that 000000 is included in the sequence. (c) Determine the 10 elements of the sequence...

Water is flowing through a pipe (area 4.0 cm 2 ) that connects to a faucet adjusted to have an opening of 0.50 cm 2 . If the water is flowing at a speed of 5.0 m/s in the pipe, what is its speed as...

The displacement of a harmonic oscillator is given by y = 3.4 sin(25t), where the units of y are meters and t is measured in seconds. Find (a) The amplitude (b) The frequency.

A mass-on-a-spring system has m = 50 kg and k = 200 N/m. The mass is pulled a distance 0.25 m from its equilibrium position and then released. (a) What is the maximum acceleration of the mass? (b)...

Spruce is a type of wood that is widely used in making musical instruments (such as violins and guitars) because its Youngs modulus is high and its density is low. If Y = 1.5 10 10 Pa and 420 kg/m...

A shear force of 3.0 ? 10 5 N is applied to an aluminum bar of length L = 20 cm, width w = 5.0 cm, and height h = 2.0 cm as shown in Figure 11.23 . What is the shear deformation??x? Figure 11.23 ? A...

A wave on a string has a speed of 200 m/s. If the diameter of the string is increased by a factor of two and the tension is held fixed, what is the speed of the wave on this new string?

Using Equation 12.1, write the equation of a wave on a string that has an amplitude of 0.30 m, a frequency of 350 Hz, and a velocity of 250 m/s and travels to the right.

Waves on a violin string travel at 900 m/s. If the string has a tension of 50 N and is 0.33 m long, what is its mass?

Consider a standing wave that has a frequency of 2000 Hz and a speed of 300 m/s. What is the distance between a node and the nearest anti node?

A violin string is 35 cm long and has a fundamental standing wave frequency of 440 Hz. If the tension is 75 N, what is the mass of the string?

Sonar is a system similar to radar except that sound is used in place of radio waves. Sonar systems are generally operated under water, where the speed of sound is approximately 1500 m/s. Suppose you...

A light bulb emits a spherical wave. If the intensity of the emitted light is 1.0 W/m 2 at a distance of 2.5 m from the bulb, what is the intensity at a distance of 4.0 m?

A point source emits sound with a power of 250 W. What is the intensity level in decibels at a distance of 35 m?

What is the pressure amplitude of a sound wave if the intensity level is 40 dB?

Consider a sound wave of frequency f generated in air by a loudspeaker. When this sound wave reaches a nearby lake, the sound wave propagates into the water, where it has the same frequency f. What...

A guitarist plucks two strings simultaneously. One string is tuned to a (fundamental) frequency of 340.0 Hz. It is found that beats are audible, with a beat frequency of 0.5 Hz. What are possible...

A siren has a frequency of 950 Hz when it and an observer are both at rest. The observer then starts to move and finds that the frequency he hears is 1000 Hz. (a) Is the observer moving toward or...

When a glass rod is rubbed with silk, the rod becomes positively charged, but when a rubber rod is rubbed with fur, the rubber becomes negatively charged. Suppose you have a charged object but dont...

Describe a compound manometer.

Figure 11.25 depicts gasoline flowing from a storage tank into a truck for transport. The gasoline has a specific gravity of 0.68 and the temperature is 25?C. Determine the required depth h in the...

The physics of a refrigerator most closely resembles the physics of a. a heat engine b. the melting of ice c. the freezing of water d. the evaporation of water

Give the major product(s) of each of the following reactions.

Write the expected major product of reaction of 1-propynyllithium, CH 3 C C - Li + , with each of the following molecules in THF. CI () C,CH,Br (b) () clohexanone CH3 (d) -H () C,CHH (f)

The 1 H NMR spectrum of naphthalene shows two multiplets (Figure 15-16). The upfield absorption ( = 7.49 ppm) is due to the hydrogens at C2, C3, C6, and C7, and the downfield multiplet ( = 7.86 ppm)...

The intermediate cation A in the sequence C 6 H 6 + E + A C 6 H 5 E + H + is best shown as H H E H E () (b) () (d) `E

For each of the three crossed aldol reactions described in Problem 47, indicate which, if any, of the multiple possible products should predominate in the reaction mixture and explain why. Data From...

Name each of the following compounds according to IUPAC or Chemical Abstracts. Pay attention to the order of precedence of the functional groups. a. b. c. d. CI

Fill in suitable reagents to carry out the following transformations. (a) (CH 3 ) 2 CHCH 2 CHO (CH 3 ) 2 CHCH 2 CO 2 H (b) (c) (d) (e) (f) (CH 3 ) 3 CCO 2 H (CH 3 ) 3 CCO 2 CH(CH 3 ) 2 (g) - ...

Attempted CrO 3 oxidation of 1,4-butanediol to butanedioic acid results in signifi cant yields of g-butyrolactone. Explain mechanistically. :0 y-Butyrolactone

Give the product of each of the following reactions. (a) (b) (c) (d) (e) CH 1. , . 2. H', . CH

The viewing window in a diving suit has an area of roughly 65 cm 2 . (a) If an attempt were made to maintain the pressure on the inside of the suit at 1 atm, what force (N and lb f ) would the window...

There are two stable isotopes of nitrogen, 14 N and 15 N. How many protons and neutrons does each isotope have?

Spray drying is a process in which a liquid containing dissolved or suspended solids is injected into a chamber through a spray nozzle or centrifugal disk atomizer. The resulting mist is contacted...

Describe with equations how you might separate a mixture of aniline, p-cresol, benzoic acid, and toluene using ordinary laboratory reagents.

An aqueous solution containing 35 wt% MgSO 4 is fed to an evaporative crystallizer operating at 50F. The vapor generated is 20% by mass of the feed. The solution, which contains 23 wt% MgSO 4 , and...

Suggest practical methods by which the rate of reaction can be investigated in each of the following cases: a. Magnesium reacting with hydrochloric acid b. Nitrogen monoxide reacting with oxygen.

a. Oxygen has an atomic number of 8 and mass number 16. What is the electron structure of the oxygen atom? b. How many electrons, neutrons and protons are there in the oxygen atom? c. Oxygen...

A car has a mass of 900 kg. It accelerates from rest at a rate of 1.2 m/s 2 . a. Calculate the time taken to reach a velocity of 30 m/s. b. Calculate the force required to accelerate the car at a...

When 0.08 g of liquid X was vaporised at 100 C, 23 cm 3 of vapour was formed. The atmospheric pressure was 1.02 10 5 Pa. Calculate the relative molecular mass of liquid X. (R = 8.31 J K 1 mol 1 )

Explain why the intermolecular forces in a sample of helium and neon are very small.

A car is travelling along a flat road in winter. The car approaches a patch of ice on a bend. Explain why the car cannot go around the perfectly smooth, icy bend. Suggest what might happen if the...

Figure 18.18 shows the displacementtime graph for an oscillating mass. Use the graph to determine the following: a. Amplitude b. Period c. Frequency d. Angular frequency e. Displacement at A f....

Suppose that the mean daily viewing time of television is 8.35 hours. Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily...

The probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance follows. Payment ($) ....................... Probability 0...

A mass, hung from a spring, oscillates with simple harmonic motion. Which statement is correct? A. The force on the mass is directly proportional to the angular frequency of the oscillation. B. The...

a. What is a catalyst? b. List the properties of catalysts. c. Name the catalyst used in the following processes: (i) The Contact process (ii) The Haber process (iii) The hydrogenation of unsaturated...

The following results were obtained from a neutralisation reaction between 1 mol dm 3 hydrochloric acid and 1 mol dm 3 sodium hydroxide. This experiment was carried out to measure the heat of...

A ball is kicked at a house window. The window is 4m up a vertical wall from a horizontal floor. The ball is kicked from a position that is 12 m distance from the foot of the wall. If the ball enters...

The apparatus shown below was set up. Give explanations for the following observations. a. The formation of a white cloud. b. It took a few minutes before the white cloud formed. c. The white cloud...

A car is moving on a circular section of road where the road is banked at 25 to the horizontal. The radius of this section of road is 100m. The car has mass 1400 kg and is travelling at 30ms -1 ....

The following diagram shows the three states of matter and how they can be interchanged. a. Name the changes A to E. b. Name a substance which will undergo change E. c. Name a substance which will...

The figure shows an oscilloscope trace for a sound wave produced by a loudspeaker. a. Copy the figure and draw the trace for a louder sound of the same pitch. b. It takes 1/50th of a second (0.02 s)...

The diagram below shows some of the forces acting on a car of mass 800 kg. a. State the size of the total drag force when the car is travelling at constant speed. b. The driving force is increased to...

The diagram shows an aeroplane of mass 3.4 x 10 5 kg accelerating uniformly from rest along a runway. After 26 s it reaches a speed of 65 m/s. a. Calculate i. The acceleration of the aeroplane ii....

a. Diagram 1 below shows a plant cell dividing by mitosis. Only two of the many chromosomes are shown for simplicity. i. What stage of mitosis is shown? ii. Draw prophase for the same cell assuming...

Five 0.25 m 2 quadrats were placed randomly in an area of grassland in the UK. The percentage of each quadrat occupied by each species of plant was estimated to the nearest 5% and recorded in the...

Use the information in the table to deduce the number of electrons and neutrons in a neutral atom of: a. Vanadium b. Strontium c. Phosphorus. Atom Nucleon number Proton number vanadium 51 23...

A beam of electrons is passing close to a highly negatively charged plate. When the electrons pass close to the plate, they are deflected (bent) away from the plate. a. What deflection would you...

a. The first ionisation energies of four consecutive elements in the Periodic Table are: sodium = 494 kJ mol 1 magnesium = 736 kJ mol 1 aluminium = 577 kJ mol 1 silicon = 786 kJ mol 1 i. Explain the...

a. The table shows the first five ionisation energies for five elements (A to E). For each one state which group the element belongs to. b. Explain your reasoning behind your answer for element E. c....

The sketch graph shows the 13 successive ionisation energies of aluminium. a. Define the term 1st ionisation energy. b. How does the graph provide evidence for the existence of three electron shells...

Weekly instruction time for a school student in the United States is 22.2 hours compared to 26.9 hours in China. Is the difference meaningful? How could a graph be constructed so that the difference...

Reasoning that barrels of oil are three-dimensional, a newspaper publishes a three-dimensional graph showing oil production (barrels) in five different years For Exercises, determine whether the...

a. State what is meant by: i. A couple ii. Torque. b. The engine of a car produces a torque of 200 N m on the axle of the wheel in contact with the road. The car travels at a constant velocity...

Compound E has the composition 69.8% carbon, 11.6% hydrogen and 18.6% oxygen. Its mass and 1H NMR spectra are shown below. a. Calculate the empirical formula of E. b. From the mass spectrum, find the...

The gasliquid chromatogram for a mixture of organic compounds is shown below. a. Give the correct labels for a, B and C. b. What percentage of the mixture is pentan-1-ol? c. Give an explanation for...

Which statement is correct? A. There is a resultant force on an object moving along a circular path at constant speed away from the centre of the circle causing it to be thrown outwards. B. There is...

A scatterplot is a graph in which the points are scattered throughout, without any noticeable pattern. In Exercise, determine whether the given statement is true or false.

Although it made our study more expensive, we chose a larger sample size in order to have a smaller margin of error. Does It Make Sense? For Exercises, determine whether the statement makes sense (or...

Based on our sample, the 95% confidence interval for the mean amount of television watched by adult Americans is 2.5 to 2.7 hours per day. Therefore, 95% of all Americans watch between 2.5 and 2.7...

The mobility of a Rb + ion in aqueous solution is 7.92 10 8 m 2 s 1 V 1 at 25C. The potential difference between two electrodes placed in the solution is 35.0 V. If the electrodes are 8.00 mm apart,...

The graph in Figure 3.23 depicts U.S. marriage and divorce rates for selected years. The marriage rates are depicted by the blue bars, and the divorce rates are depicted by the maroon bars. The rates...

There is a 0.9986 probability that a randomly selected 30-year-old male will live through the year. A life insurance company charges $161 for insuring that the male will live through the year. If he...

Find the difference between the ground- and first excited-state translational energies of a helium atom in a 1 mm 3 cubic box. Compare this to room temperature energy k B T at 300 K.

In seeking to understand the factors that affect a college graduates future income, researchers conducted a multiple regression analysis that examined the effects of major, grade point average, the...

In Problems 4148, you need to make some assumptions before you estimate your answer. State your assumptions and then calculate the exact answer. A school in Oakland, California, spent $100,000 in...

Use VEC A modified for the stable 18-electron configuration of Kr to justify the network of Cu tetrahedra in MgCu 2 .

Consider an Ising model with an infinite-range interaction such that each spin interacts equally strongly with all other spins: ^ H = c i < j i j 0 H i i H ^ = c i < j i j 0 H i i...

Sketch the focal-mechanism solutions for earthquakes that would be expected to occur at each of the plate boundaries in Problems 17.1 and 17.2 (Fig. G-57). Be sure to label the fault plane, the...

a. A geologist studying thrust faults in a Proterozoic shear zone in southern Wyoming developed the hypothesis that all of the thrust faults formed during a regional northnorthwest/southsoutheast...

Figure G-7 consists of three geologic maps, each of which has two topographic profiles below it. For each map there are at least two possible interpretations for the contact. Sketch two geologically...

The white Spirit black bear (or Kermode), Ursus americanus kermodei, differs from the ordinary black bear by a single amino acid change in the melanocortin 1 receptor gene (MC1R). In this population,...

From the data in Table 4.6, calculate the mean (i.e., the average) of the Bornstein errors V observed V predicted . What do the results suggest about the merit of the model? Table 4.6 In 1976, Marc...

Figure 3.2 suggests that oxidative non stoichiometry of NiO at high temperature is achieved via formation of nickel vacancies and holes. The following data have been measured [5, 6] at 1100 C in O 2...

Draw both chair conformations for each of the following compounds. In each case, identify the more stable chair conformation: (a) Methylcyclohexane (b) Trans-1,2-Diisopropylcyclohexane (c)...

Below is the structure of caffeine, but its lone pairs are not shown. Identify the location of all lone pairs in this compound: - -N N. .C. Caffeine Z-O- Z-U

Propose an efficient synthesis for each of the following transformations. You might find it useful to review Section 11.13 before doing these problems. In section 11.13 Radical halogenation provides...

Propose a plausible synthesis for each of the following transformations: a. b. c. d. e. f. g. h. Br Br

Suggest an efficient synthesis for each of the following transformations: a. b.

Using acetylene as your only source of carbon atoms, identify a synthetic route for the production of 2-bromobutane.

Using any reagents you like, show a way to convert 1-methylcyclopentene into 3-methylcyclopentene.

Fill in the missing reagents below. Me OEt ?| Br Me SH OEt OMe OEt CN

Identify the reagents necessary to achieve each transformation below: (a) (b) (c) D D D

Using any compounds that contain two carbon atoms or fewer, show a way to prepare a racemic mixture of (2R, 3S) - and (2S, 3R) -2, 3-dihydroxypentane.