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please answer this questions. Thanks. Part 3: Worked Problems. Show all work. Pa

ID: 1582395 • Letter: P

Question

please answer this questions. Thanks.

Part 3: Worked Problems. Show all work. Partial credit is possible. 3-1: Choose ONE of the following (A or B) and answer it on the next pag you pick. You may earn up to 5 points of extra credit by answering both parts, but you on answer one to earn full credit. S as fractions (for example, if your answer is /2, you can leave it as /2 rat (10 points, plus up to 5 extra credit points). e. Clearly indicate which part ince I told you that calculators were not required, you can leave answers her than 1.57). A) Consider the three snapshots below of a transverse wave propagating on a string, viewed at times of 0 s, I s, and 2 s. The same crest is labeled as A in all 3 snapshots, and the same trough is quency, and direction of propagation of the wave described by these snapshots. Snapshot at t = 0 s Snapshot at t 1 s 2 2 -1 -2 2 x (m) x (m) Snapshot at t = 2 s 2 2 x (m) B) Consider the following wave equation, where t is measured in seconds and x is measured in meters: y(x, t) = (5.0 m)sin (2t-5x) Determine the amplitude, wavelength, frequency, velocity, and direction of propagation of the wave described by this equation.

Explanation / Answer

A) Amplitude= max. distance in y axis=2.5 m

Wavelength= distance travelled in 1 time period=3m

Time period= 4 sec (as after 2 sec frame looking at aparticular point wave has changed its position by half the period)

Frequency=1/T=0.25per sec

Velocity =0.25*3=0.75 m/sec

Direction of propagation=+ve x axis as curve is moving in x direction with time

B) y=Asin(kx-wt)

Amplitude= 5 m

k=2*pi/wavelength,

Wavelength=2*pi/5=0.4 pi

w=2*pi*f, frequency= 1/pi

Velocity=1/pi *0.4 pi =0.4 metre/sec

Direction of propagation=+ve x axis