Please use a key board ### Transcription for Educational Website:#### Pulse Reflection in a SpringA pulse is moving toward the end of a spring with a speed of 80 cm/s. It is not known whether the end is a fixed end or a free end.The diagrams below show the shape of the pulse at \( t = 0 \) s and at \( t = 1 \) s.**Graph Explanation:**- **T = 0s Diagram:** - The graph displays a pulse moving toward a wall. - The pulse begins at position 2 and peaks at position 4, reaching a height of +3. - It returns to 0 by position 6, dips below at position 8 reaching -1, and returns to 0 again at position 10. - Scale: 1 square = 10 cm.- **T = 1s Diagram:** - Shows the pulse after 1 second. - The pulse is now reflected back toward the starting position. - Its peak has moved to position 11, and it falls to 0 at position 14.**Question:**Is the end of the spring a free end or a fixed end? [Explain](#).If there is not enough information, please state so explicitly.---### Analysis- **Fixed End:** If the pulse inverts upon reflection, typically indicating a fixed end.- **Free End:** If the pulse reflects without inversion, it is generally a free end.To determine the nature of the end, examine the pulse behavior at \( t = 1 \) s and compare it with \( t = 0 \) s. Please provide your keyboard-written explanation based on your analysis.Thank you.

Answered: Image /qna-images/answer/5df689f6-1fcd-400b-8722-18f2d61e1017.jpgWe can see that the resultant wave after t=1 sec has larger amplitude than the top wave and bottom wave. This means the top wave and the bottom wave has interfered constructively. We know that when waves are reflected from fixed end, it undergoes 180 degree phase change. This means the top wave (y>0) will be reflected as a bottom wave (y<0). Similarly the wave at the bottom (y<0) will travel as a top wave (y>0).But if the wave is reflected from the free end, there is no phase change. Thus the sides of the waves will not alter after reflection. the top wave (y>0) will be reflected as a top wave (y>0). Similarly the wave at the bottom (y<0) will travel as a bottom wave (y<0).Here in the diagram, we are getting a resultant wave only at y>0 and with greater amplitude than the both waves. Also from the calculation of positions of the waves, we can see that the top wave just reaches the boundary at t=1 sec while the bottom wave gets completely reflected from the boundary. Therefore to interfere constructively, the bottom wave must be reflected as top wave and hence it undergoes 180 degree phase shift. Thus it is clear that the end is a "fixed end"The end is a "fixed end"

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A pulse is moving toward the end of a spring with a speed of 80 cm/s. It is not known whether the end is a fixed end or a free end. The diagrams below show the shape of the pulse at t = 0 s and at t = 1 s. Is the end of the spring a free end or a fixed end? Explain. If there is not enough information, state so explicitly. please write in key board. Thank you.

A pulse is moving toward the end of a spring with a speed of 80 cm/s. It is not known whether the end is a fixed end or a free end. The diagrams below show the shape of the pulse at t = 0 s and at t = 1 s. Is the end of the spring a free end or a fixed end? Explain. If there is not enough information, state so explicitly. please write in key board. Thank you.

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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Wave Motion

A wave motion is defined as the propagation of disturbances or transfer of energy and momentum from the state of rest or equilibrium to another point in a medium without any actual transfer of matter between them. In a simple explanation, it is the propagation of energy through a medium that is produced due to the repeated vibrations of the particles. Common things we see day to day like waves on water oscillation of a pendulum or bell, light wave, and all the subatomic particles exhibiting wavelike properties. The propagation of waves depends on the medium and their properties. The wave function is the disturbance that produces waves as a function of time. This disturbance oscillates periodically with a fixed frequency and wavelength. There are linear wave motion and non-linear wave motion based on their propagation, motion, and time period where linear wave motion is like sinusoidal waves and non-linear wave motion like a wave motion that gets interrupted in the middle of their propagation.

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Please use a key board

### Transcription for Educational Website:

#### Pulse Reflection in a Spring

A pulse is moving toward the end of a spring with a speed of 80 cm/s. It is not known whether the end is a fixed end or a free end.

The diagrams below show the shape of the pulse at \( t = 0 \) s and at \( t = 1 \) s.

**Graph Explanation:**

- **T = 0s Diagram:**
- The graph displays a pulse moving toward a wall.
- The pulse begins at position 2 and peaks at position 4, reaching a height of +3.
- It returns to 0 by position 6, dips below at position 8 reaching -1, and returns to 0 again at position 10.
- Scale: 1 square = 10 cm.

- **T = 1s Diagram:**
- Shows the pulse after 1 second.
- The pulse is now reflected back toward the starting position.
- Its peak has moved to position 11, and it falls to 0 at position 14.

**Question:**
Is the end of the spring a free end or a fixed end? [Explain](#).

If there is not enough information, please state so explicitly.

---

### Analysis

- **Fixed End:** If the pulse inverts upon reflection, typically indicating a fixed end.
- **Free End:** If the pulse reflects without inversion, it is generally a free end.

To determine the nature of the end, examine the pulse behavior at \( t = 1 \) s and compare it with \( t = 0 \) s. Please provide your keyboard-written explanation based on your analysis.

Thank you.

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