JI am onstage at the Met. Not singing, of course: I am a supernumerary, a silent extra. I hear Lise Davidson sing her 10000 Hz high note, but, oddly, Suddenly, the lights go out! she is 100 Hz sharp. Is Lise running away from me or toward me? At what speed? Sketch the situation, defining all your variables. What physics equation(s) will you utilize in order to solve this problem? For each equation you list, give a justification for why it applies to this situation. Apply your equation(s) to solve, first for an algebraic expression(s), then for any numerical answer(s). Show the units of your answer(s), and how you got them.

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I am onstage at the Met. Not singing, of course: I am a supernumerary, a silent extra. Suddenly, the lights go out! I hear Lise Davidson sing her 10000 Hz high note, but, oddly, she is 100 Hz sharp. Is Lise running away from me or toward me? At what speed?

**Text Transcription and Explanation**

---

**Text:**

*J*: I am onstage at the Met. Not singing, of course: I am a supernumerary, a silent extra. Suddenly, the lights go out! I hear Lise Davidson sing her 10,000 Hz high note, but, oddly, she is 100 Hz sharp. Is Lise running away from me or toward me? At what speed?

**Instructions:**

1. **Sketch the situation, defining all your variables.**

   - Sketch not provided.

2. **What physics equation(s) will you utilize in order to solve this problem? For each equation you list, give a justification for why it applies to this situation.**

   - The Doppler Effect equation will be used in this scenario, as it explains the change in frequency or wavelength of a wave in relation to an observer moving relative to the wave source.
   - Equation: \( f' = f \frac{v + v_o}{v + v_s} \) where:
     - \( f' \) is the observed frequency (10,100 Hz),
     - \( f \) is the source frequency (10,000 Hz),
     - \( v \) is the speed of sound in air (approximately 343 m/s at room temperature),
     - \( v_o \) is the speed of the observer,
     - \( v_s \) is the speed of the source.
   - This formula helps determine whether Lise is moving away or toward the observer based on the frequency shift.

3. **Apply your equation(s) to solve, first for an algebraic expression(s), then for any numerical answer(s). Show the units of your answer(s), and how you got them.**

   - Start by rearranging the Doppler Effect formula to solve for \( v_s \), the speed of Lise.
   - Substitute the known values into the equation to find the speed at which Lise is moving.
   - Discuss the direction (away or toward) based on whether \( f' > f \) or \( f' < f \).

---

**Explanation of Approach:**

- The problem utilizes the Doppler Effect to assess the motion of a sound source relative to the observer.
- Calculations will reveal both the magnitude and direction of Lise's movement based on the frequency shift observed.

Note: Create an appropriate sketch based on the given scenario, showing Lise and the observer with
Transcribed Image Text:**Text Transcription and Explanation** --- **Text:** *J*: I am onstage at the Met. Not singing, of course: I am a supernumerary, a silent extra. Suddenly, the lights go out! I hear Lise Davidson sing her 10,000 Hz high note, but, oddly, she is 100 Hz sharp. Is Lise running away from me or toward me? At what speed? **Instructions:** 1. **Sketch the situation, defining all your variables.** - Sketch not provided. 2. **What physics equation(s) will you utilize in order to solve this problem? For each equation you list, give a justification for why it applies to this situation.** - The Doppler Effect equation will be used in this scenario, as it explains the change in frequency or wavelength of a wave in relation to an observer moving relative to the wave source. - Equation: \( f' = f \frac{v + v_o}{v + v_s} \) where: - \( f' \) is the observed frequency (10,100 Hz), - \( f \) is the source frequency (10,000 Hz), - \( v \) is the speed of sound in air (approximately 343 m/s at room temperature), - \( v_o \) is the speed of the observer, - \( v_s \) is the speed of the source. - This formula helps determine whether Lise is moving away or toward the observer based on the frequency shift. 3. **Apply your equation(s) to solve, first for an algebraic expression(s), then for any numerical answer(s). Show the units of your answer(s), and how you got them.** - Start by rearranging the Doppler Effect formula to solve for \( v_s \), the speed of Lise. - Substitute the known values into the equation to find the speed at which Lise is moving. - Discuss the direction (away or toward) based on whether \( f' > f \) or \( f' < f \). --- **Explanation of Approach:** - The problem utilizes the Doppler Effect to assess the motion of a sound source relative to the observer. - Calculations will reveal both the magnitude and direction of Lise's movement based on the frequency shift observed. Note: Create an appropriate sketch based on the given scenario, showing Lise and the observer with
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