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LINEAR SUPERPOSITION These unusually shaped wave pulses are heading towards each other in a medium whose wave speed is one grid unit per second. Draw the resulting shape of the medium one, two, three, and four seconds later. 11 1=0 1= 0 1= 0 1= 1 1= 1 t = 1 1= 2 1= 2 1 = 2 1= 3 1= 3 1 = 3 1=4 t=4 1= 4 1= 0 t=0 t=0 1= 1 t= 1 t = 1 1= 2 1 = 2 t= 2 t = 3 t = 3 t= 3 t= 4 t=4 t=4

LINEAR SUPERPOSITION These unusually shaped wave pulses are heading towards each other in a medium whose wave speed is one grid unit per second. Draw the resulting shape of the medium one, two, three, and four seconds later. 11 1=0 1= 0 1= 0 1= 1 1= 1 t = 1 1= 2 1= 2 1 = 2 1= 3 1= 3 1 = 3 1=4 t=4 1= 4 1= 0 t=0 t=0 1= 1 t= 1 t = 1 1= 2 1 = 2 t= 2 t = 3 t = 3 t= 3 t= 4 t=4 t=4

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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## Linear Superposition ### Instruction: These unusually shaped wave pulses are heading towards each other in a medium whose wave speed is one grid unit per second. Draw the resulting shape of the medium one, two, three, and four seconds later. ### Diagram Explanation: The figure contains six separate graphs, each depicting a series of grid plots where wave pulses are displayed at different times (t = 0, t = 1, t = 2, t = 3, t = 4). In each graph: - The x-axis represents the horizontal position in grid units. - The y-axis represents the vertical position in grid units and is labeled for each second. #### First Row (Top to Bottom, Left to Right): 1. **First Graph** - **t = 0**: Displaying the initial shape of the wave on the medium. - **t = 1**: The wave pulses have moved closer towards each other. - **t = 2**: The pulses are overlapping. - **t = 3**: The wave tends to flatten as pulses pass through each other. - **t = 4**: Pulses begin to move apart from each other. 2. **Second Graph** - Similar to the first graph, showing the initial and progressive movements of wave pulses over time (t = 0 to t = 4), but with a different initial wave shape. 3. **Third Graph** - Displays another unique initial wave shape at t = 0. The progression follows as in previous graphs, showing the interaction over time until t = 4. #### Second Row (Top to Bottom, Left to Right): 4. **Fourth Graph** - Starts with a different complex wave shape, tracking it from t = 0 to t = 4 as the pulses interact, overlap, and then separate. 5. **Fifth Graph** - Similar structure to previous graphs but portrays yet another initial wave form at t = 0. It follows the pulses as they interact and then separate up to t = 4. 6. **Sixth Graph** - Represents a unique initial wave shape at t = 0 and shows the interaction till t = 4. ### Purpose: These diagrams are instrumental in visualizing the principle of linear superposition where individual wave pulses interact with each other as they travel through a medium, overlap, and then continue moving through the medium as if they had never
Transcribed Image Text:## Linear Superposition ### Instruction: These unusually shaped wave pulses are heading towards each other in a medium whose wave speed is one grid unit per second. Draw the resulting shape of the medium one, two, three, and four seconds later. ### Diagram Explanation: The figure contains six separate graphs, each depicting a series of grid plots where wave pulses are displayed at different times (t = 0, t = 1, t = 2, t = 3, t = 4). In each graph: - The x-axis represents the horizontal position in grid units. - The y-axis represents the vertical position in grid units and is labeled for each second. #### First Row (Top to Bottom, Left to Right): 1. **First Graph** - **t = 0**: Displaying the initial shape of the wave on the medium. - **t = 1**: The wave pulses have moved closer towards each other. - **t = 2**: The pulses are overlapping. - **t = 3**: The wave tends to flatten as pulses pass through each other. - **t = 4**: Pulses begin to move apart from each other. 2. **Second Graph** - Similar to the first graph, showing the initial and progressive movements of wave pulses over time (t = 0 to t = 4), but with a different initial wave shape. 3. **Third Graph** - Displays another unique initial wave shape at t = 0. The progression follows as in previous graphs, showing the interaction over time until t = 4. #### Second Row (Top to Bottom, Left to Right): 4. **Fourth Graph** - Starts with a different complex wave shape, tracking it from t = 0 to t = 4 as the pulses interact, overlap, and then separate. 5. **Fifth Graph** - Similar structure to previous graphs but portrays yet another initial wave form at t = 0. It follows the pulses as they interact and then separate up to t = 4. 6. **Sixth Graph** - Represents a unique initial wave shape at t = 0 and shows the interaction till t = 4. ### Purpose: These diagrams are instrumental in visualizing the principle of linear superposition where individual wave pulses interact with each other as they travel through a medium, overlap, and then continue moving through the medium as if they had never
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