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Homework_21

# Homework_21 - Amplitude(centimeter Nguyen Thanh Homework 21...

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Nguyen, Thanh – Homework 21 – Due: Nov 27 2007, 7:00 pm – Inst: D Weathers 1 This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points You are given two waves, a transverse wave that moves to the right f 1 ( x ) and a transverse wave that moves to the left f 2 ( x ), on a string. As the problem begins, the wave f 1 ( x ) is mov- ing to the right at v 1 = +1 m/s and the wave f 2 ( x ) is moving to the left at v 2 = - 1 m/s. v 1 v 2 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Amplitude (centimeter) Distance (meter) What is the shape of the wave on the string after 3 s? 1. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Distance (meter) correct 2. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Distance (meter) 3. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Distance (meter) 4. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Distance (meter) 5. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Distance (meter)

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Nguyen, Thanh – Homework 21 – Due: Nov 27 2007, 7:00 pm – Inst: D Weathers 2 6. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Distance (meter) 7. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Distance (meter) 8. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Distance (meter) 9. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Distance (meter) 10. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Distance (meter) Explanation: The initial wave moving to the right is rep- resented with a dashed line and the eave mov- ing to the left is represented with a dotted line. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Amplitude (centimeter) Distance (meter) Initial time, t = 0 s After 3 s the positions of the two waves are have both moved 3 meters in opposite directions. The sum of the two wave is the resultant wave, the light gray line. 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Amplitude (centimeter) Distance (meter) Superpostion, at t = 3 s
Nguyen, Thanh – Homework 21 – Due: Nov 27 2007, 7:00 pm – Inst: D Weathers 3 0 1 2 3 4 5 6 7 8 9 10 -3 -2 -1 0 1 2 3 Amplitude (centimeter) Distance (meter) Resultant, at t = 3 s keywords: 002 (part 1 of 4) 10 points Hint: Recall a basic trigonometric relation sin θ 1 + sin θ 2 = 2 cos θ 1 - θ 2 2 × sin θ 1 + θ 2 2 . Two harmonic waves are described by y 1 = A sin( k x - ω t - φ 1 ) and y 2 = A sin( k x - ω t - φ 2 ) , where A = 4 . 9 m , k = 2 . 1 rad / m , ω = 6 . 9 rad / s , φ 1 = 1 . 1 rad , and φ 2 = - 4 . 9 rad .

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Homework_21 - Amplitude(centimeter Nguyen Thanh Homework 21...

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