Question: Two traveling wave pulses on a string are represented by the wave functions and where x is in meters and t is in seconds. (a)

Two traveling wave pulses on a string are represented by the wave functions

0.02 m3 (x, 1) =- 2 m2 + (x- 21)2

and

image

where x is in meters and t is in seconds.

(a) Sketch each wave function separately as a function of x at t = 0, and describe the behavior of each as time increases.

(b) Find the resultant wave function at t = 0.

(c) Find the resultant wave function at t = 1 s.

(d) Sketch the resultant wave function at t = 1 s.

0.02 m3 (x, 1) =- 2 m2 + (x- 21)2

Step by Step Solution

★★★★★

3.56 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a The two wave functions at t 0 are shown above b The resultan... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

10-P-O-S-W (167).docx

120 KBs Word File

Students Have Also Explored These Related Oscillations Mechanical Waves Questions!

Q:

Two traveling waves moving on a string are identical except for opposite velocities. They obey the equation y(x, t) = Asin (kx + wt), where the plus-or-minus sign in the argument Depends on the...

Q:

The sine and cosine functions are represented by the two series Differentiate each series to show that and x3 sin (x) = x - 3! x7 5! 7! x2 + 2! x4 46 cos (x) = 1- 4! 6!

Q:

Douglas Cornfields preferences are represented by the utility function u(x 1 , x 2 ) The prices of x1 and x2 are p1 and p2. (a) The slope of Cornfields indifference curve at the point (x 1 , x 2 ) is...

Q:

How do I answer questions 1-4? I have typed my data just in case you cannot read my handwriting. Data Sheet: Standing Waves mass per unit length (gauge) of the string (kg/m) 0 . 018 Kg/m T Trial #...

Q:

How do I solve the column for velocity from equation 1 ? I have typed my data just in case you cannot understand my handwriting. between 50 and 200 cycles per second. "Wavelength" refers to the...

Q:

Two rectangular wave pulses are traveling in opposite directions along a string. At t = 0, the two pulses are as shown in Figure. Sketch the wave functions for t = 1, 2, and 3s 10 cm/s 10 cm/s 30 cm-...

Q:

Problem 5. (Use your indoor voice) A person shouting at the top of his lungs emits about 1.0 mW of energy as sound waves. What is the sound intensity level at: A. 1.0 m from such a person? Use units...

Q:

2: Making the connection between mechanical waves on a string and Electromagnetic Waves. HELP due tonight https://phet.colorado.edu/sims/html/wave-on-a-string/latest/wave-on-a-string_en.html Reopen...

Q:

Mechanical Waves Lab: What are the properties of mechanical waves? Central Challenge In this investigation, students use video analysis or other approaches to investigate the properties of mechanical...

Q:

( a ) Write the function that describes this wave traveling in the positive x direction. ( b ) Determine the power being supplied to the string. Part 1 of 7 - Conceptualize: given the frequency f of...

Q:

Rebeccas Pottery Loft makes a variety of handmade pottery items. She has asked for your advice on one of the items manufactureda clay pelican. The following information is provided: Number of...

Q:

A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number...

Q:

Stock a has a beta of 1 . 4 and stock b has a beta of 0 . 5 this stock a has more symmetric risk

Q:

The surface of the earth is not a true inertial reference frame because there is a centripetal acceleration due to the earths rotation. The earth rotates once every 24 hours and has a diameter of...

Q:

In calculus the curvature of a curve that is defined by a function y = f (x) is defined as

Q:

PepsiCos financial statements are presented in Appendix B. Financial statements of The Coca-Cola Company are presented in Appendix C. Instructions for accessing and using the complete annual reports...

Q:

A bank offers different yearly interest rates to its customers based on the size of the deposit in the following way: For deposits up to 1,000, the interest rate is 5.5% For deposits from 1,000 and...

Q:

If all the capacitors in Figure P5.53 are 6 µF, find Ceq Figure P5.53

Q:

Suppose that you need to know the heat of formation of cyclohexane, C 6 H 12 , but the tables you have do not provide the value. You have a sample of the chemical. What could you do to determine the...

Q:

At one point in a pipeline the water's speed is 3.00 mls and the gauge pressure is 5.00 X 104 Pa. Find the gauge pressure at a second point in the line, no m lower than the first, if the pipe...

Q:

Lift on an Airplane Air streams horizontally past a small airplane's wings such that the speed is 70.0 m/s over the top surface and 60.0 m/s past the bottom surface. If the plane has a wing area of...

Q:

A soft drink (mostly water) flows in a pipe at a beverage plant with a mass flow rate that would fill 220 0.355-L cans per minute. At point 2 in the pipe, the gauge pressure is 152 kPa and the...

Q:

Question 3 (1 point) A company pays a constant $8.75 dividend on its stock. The company will maintain this dividend for the next 16 years and then will cease paying dividends forever. If the required...

Q:

Please provide answers to the multiple choice questions above using the answer choices below... Question 1 a) -274M b) -1117M c) -279M d) -277M Question 2 a) -239M b) -1633M c) -1907M d) -516M...

Q:

You've observed the following returns on Crash-n-Burn Computer's stock over the past five years: 2 percent, 15 percent, 23 percent, 13 percent, and 16 percent. What was the arithmetic average return...