FinalDec07W0

FinalDec07W0 - GREG? A 2.0 kg mass is attached to a spring...

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Unformatted text preview: GREG? A 2.0 kg mass is attached to a spring and rests on a frictionless horizontal table. The other end of the spring Problem 2 is attached to the wall. The force constant of the spring is 200 N/m. A force is applied to the mass so that the spring is stretched by 4.0 cm. The mass is then released at time t = 0.10 s. / ~ ‘ » ’ t I _ 11:10, xgzépcm (b) Find the values of the frequency f and time period T. (c) What is the total energy of the system? (d) At what values of x are the potential and the kinetic energies equal? (e) Using x(t) = A cos (0) t + (p ), find the value for q). (f) If the system is damped, with the value of the damping constant, b, equal to 0.0637 kg/s, find the percentage reduction in the total energy of the system per cycle. Oét (j v ‘0) Q“ __ (NO. wu 2556 q S‘M‘O g9 szzq'o ’zxfibgw {q Nié (w Problem 3 (I) Coherent light of wavelength 500 nm passes through a Young’s two slit experiment. The slits are separated by a distance d and each has a width a. The viewing screen is located 2.00 m from the slits. The intensity pattern on the viewing screen is shown in the plot below. From this plot, find Intensity 43.025 -0.02 —0.015 -0.01 -0.005 0 0.005 ~0.01 0.015, 0.02 0.025 ' y (m) (a) the displacement y for the first interference maximum along the positive y-axis. (b) the angle 9 that the first interference maximum (found above) makes with the central axis. (c) The displacement y for the first diffraction minimum along the positive y-axis. (d) the angle 9 that the first diffraction minimum makes with the central axis. Wogmwo wotng Wch‘LQ'O WWOQ‘O Us (e) the separation (11) of the two slits (i) the slit width (a) for each slit. (ll) White light (7L ranging from 400to 700nm) is normally incident on a thin film with index of refraction . n = 1.24. The thin film coats a thick plate of glass (n = 1.40) and there is air above the film. If the thiclmess of the film is 350 nm, what wavelength(s) of visible light is (are) maximally reflected at the surface? Draw a diagram clearly showing the phase constant change upon reflection for the two interfering waves. Problem 4 (I) A pointsource of power 30.0 W emits sound waves, uniformly in all directions. A small microphone with an area of 0.750 cmz, placed 200 m away from the source, intercepts the sound from the source. (a) Calculate the sound intensity-(in W/mz) at the microphone (b) Calculate the sound level (in dB) at the microphone (c) Calculate the power intercepted by the microphone. (d) How far aWay from the source would the microphone need to be for the sound intensity to be 40% greater than that calculated in part (b)? (H) An acoustic burglar alarm consists of a sound source emitting waves with a frequency of 18.0 kHz. What is the beat frequency between the source waves and the waves reflected from an intruder walking at 1.00 m/s away from the alarm? Assume the speed of sound is 340 m/s. Clearly show all your work. swim , OlX-4,L'C1 (“o Problem 5 (I) A U—shaped cylindrical tube is filled with water, and the two arms are capped. A 3.0 kg mass is placed on both caps, and the equilibrium position is as shown. The right arm has twice the radius of the left arm. The caps have negligible mass, are watertight, and can slide freely up and down the tube. The dashed line represents the level of the water in the left arm. What is the mass of the water in the right arm between the dashed line and the right cap? Explain your answer. (H) A solid object is weighed with a spring balance in air and then with the object immersed in water. Its - mass in air is 0.30 kg and its apparent mass in water in 0.25 kg. What is the density of the object? (Ignore the buoyancy force of the air?) 11 ([11) Water runs through a horizontal pipe at 0.20 m/s. One part of the pipe is corroded so that the cross— sectional area is 90% blocked. (a) What is the velocity of the water in the blocked section? '(b) What is the change in pressure in the blocked section? Is it an increase or a decrease? glwo‘ CHI; 12 ...
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FinalDec07W0 - GREG? A 2.0 kg mass is attached to a spring...

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