1. (a) If y1 = (2.50 cm)sin [(3.25 cm−1)x − (1.85 s−1)t] and y2 = (3.25...
1. (a) If y1 = (2.50 cm)sin [(3.25 cm−1)x − (1.85 s−1)t] and y2 = (3.25 cm)sin [(2.15 cm−1)x + (1.25 s−1)t] cm represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.45 cm and t = 2.35 s.(2.15 cm−1)x + (1.25 s−1)t
-cm
(b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x = 1.45 cm and t = 2.35 s. (Assume the +x direction is to the right.)
-cm
2. At t = 0, the instantaneous position of two pulses moving along a taut string with a speed v = 2.93 cm/s are as shown in the diagram below. Each unit on the horizontal axis is 2.0 cm and each unit on the vertical axis is 8.0 cm.
(a) At what location will the resultant of the two pulses have
minimum amplitude?
cm
(b) At what time will the resultant of the two pulses have minimum
amplitude?
s
(c) What is the value of this minimum amplitude?
cm
Homework Answers
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1. (a) If y1 = (2.50 cm)sin [(3.25 cm−1)x
− (1.85 s−1)t] and y2 = (3.25...
(a) If y1 = (2.50 cm)sin[(3.40 cm−1)x − (1.85 s−1)t and y2 = (3.25 cm)sin[(2.35 cm−1)x...
(a) If y1 = (2.50 cm)sin[(3.40 cm−1)x − (1.85 s−1)t and y2 = (3.25 cm)sin[(2.35 cm−1)x + (1.25 s−1)t ] represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.30 cm and t = 2.15 s. (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x = 1.30...
(a) If y1 = (2.50 cm)sin[(3.25 cm–2)x - (1.85 s-2)t] and y2 = (3.25 cm)sin((2.40 cm-?)X...
(a) If y1 = (2.50 cm)sin[(3.25 cm–2)x - (1.85 s-2)t] and y2 = (3.25 cm)sin((2.40 cm-?)X + (1.25 s=1)t] represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.45 cm and t = 2.45 s. cm (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x = 1.45...
(a) If y1 = (2.50 cm)sin((3.20 cm−1)x − (1.85 s−1)t ) and y2 = (3.25 cm)sin((2.15...
(a) If y1 = (2.50 cm)sin((3.20 cm−1)x − (1.85 s−1)t ) and y2 = (3.25 cm)sin((2.15 cm−1)x + (1.25 s−1)t) represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.35 cm and t = 2.05 s. (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x = 1.35...
(a) If y1 = (2.50 cm)sin((3.20 cm−1)x − (1.85 s−1)t ) and y2 = (3.25 cm)sin((2.15...
(a) If y1 = (2.50 cm)sin((3.20 cm−1)x − (1.85 s−1)t ) and y2 = (3.25 cm)sin((2.15 cm−1)x + (1.25 s−1)t) represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.35 cm and t = 2.05 s. (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x = 1.35...
(a) If y1 = (2.50 cm)sin (3.30 cm−1)x − (1.85 s−1)t and y2 = (3.25 cm)sin...
(a) If y1 = (2.50 cm)sin (3.30 cm−1)x − (1.85 s−1)t and y2 = (3.25 cm)sin (2.25 cm−1)x + (1.25 s−1)t represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.30 cm and t = 2.50 s. cm (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x...
(a) If y, - (2.50 cm)sin((3.45 1.45 cm)x - (1.85 53-1) and yz - (3.25 cm)sIn|(2.30...
(a) If y, - (2.50 cm)sin((3.45 1.45 cm)x - (1.85 53-1) and yz - (3.25 cm)sIn|(2.30 cm".>x+(1.25 she represent two waves moving toward each other on a string, find the superposition of the two waves at x - 1.45 cm and t - 2.35 s. 0.38 X The superposition of the two waves is given by the sum of the two wave functions. Evaluate y, and y, at the given location and time. cm (b) Now consider the same two...
(a) If y1 = (2.50 cm)sin [(3.35 cm -2x (1.855-18 and y2 = (3.25 cm)sin((2.35 cm...
(a) If y1 = (2.50 cm)sin [(3.35 cm -2x (1.855-18 and y2 = (3.25 cm)sin((2.35 cm –2)x + (1.25 s 5-1)] represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.25 cm and t = 2.10 s. cm (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x...
(a) If y1 = (2.50 cm)sin [(3.35 cm -2x (1.855-18 and y2 = (3.25 cm)sin((2.35 cm...
(a) If y1 = (2.50 cm)sin [(3.35 cm -2x (1.855-18 and y2 = (3.25 cm)sin((2.35 cm –2)x + (1.25 s 5-1)] represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.25 cm and t = 2.10 s. cm (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x...
(a) If y2 = (2.50 cm)sin[(3.50 cm–2)x = (1.855-1)] and y2 = (3.25 cm)sin((2.20 cm }x...
(a) If y2 = (2.50 cm)sin[(3.50 cm–2)x = (1.855-1)] and y2 = (3.25 cm)sin((2.20 cm }x + (1.25 8-1)] represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.55 cm and t = 2.50 s. cm (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x = 1.55...
.20 cm (a) If yn = (2.50 cm)sin[(3.50 cm 2x - (1.85 5-1)] and y2 =...
.20 cm (a) If yn = (2.50 cm)sin[(3.50 cm 2x - (1.85 5-1)] and y2 = (3.25 cm)sin((2.20 1-2)x+ (1. +(1.25 5-2] represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.55 cm and t = 2.50 s. 0.835 x The superposition of the two waves is given by the sum of the two wave functions. Evaluate y, and yat the given location and time. cm (b) Now consider...
(a) If y1 = (2.50 cm)sin[(3.25 cm–2)x - (1.85 s-2)t] and y2 = (3.25 cm)sin((2.40 cm-?)X + (1.25 s=1)t] represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.45 cm and t = 2.45 s. cm (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x = 1.45...
(a) If y, - (2.50 cm)sin((3.45 1.45 cm)x - (1.85 53-1) and yz - (3.25 cm)sIn|(2.30 cm".>x+(1.25 she represent two waves moving toward each other on a string, find the superposition of the two waves at x - 1.45 cm and t - 2.35 s. 0.38 X The superposition of the two waves is given by the sum of the two wave functions. Evaluate y, and y, at the given location and time. cm (b) Now consider the same two...
(a) If y1 = (2.50 cm)sin [(3.35 cm -2x (1.855-18 and y2 = (3.25 cm)sin((2.35 cm –2)x + (1.25 s 5-1)] represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.25 cm and t = 2.10 s. cm (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x...
(a) If y1 = (2.50 cm)sin [(3.35 cm -2x (1.855-18 and y2 = (3.25 cm)sin((2.35 cm –2)x + (1.25 s 5-1)] represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.25 cm and t = 2.10 s. cm (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x...
(a) If y2 = (2.50 cm)sin[(3.50 cm–2)x = (1.855-1)] and y2 = (3.25 cm)sin((2.20 cm }x + (1.25 8-1)] represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.55 cm and t = 2.50 s. cm (b) Now consider the same two waves on the same string. If they are both moving to the left instead of opposing directions, find the superposition of the waves at x = 1.55...
.20 cm (a) If yn = (2.50 cm)sin[(3.50 cm 2x - (1.85 5-1)] and y2 = (3.25 cm)sin((2.20 1-2)x+ (1. +(1.25 5-2] represent two waves moving toward each other on a string, find the superposition of the two waves at x = 1.55 cm and t = 2.50 s. 0.835 x The superposition of the two waves is given by the sum of the two wave functions. Evaluate y, and yat the given location and time. cm (b) Now consider...
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