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*37. ssm A distant galaxy is simultan- eously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of UG 1.6 x 10 m/s. Relative to the center, the tangential speed is v=0.4 X 10 m/s for v Galaxy locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A and B are measured on earth, they are not the same and each is different from the emitted frequency of 6.200 X 10¹4 Hz. Find the measured frequency for the light from (a) region A and (b) region B. Earth Problem 37 UT B

*37. ssm A distant galaxy is simultan- eously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of UG 1.6 x 10 m/s. Relative to the center, the tangential speed is v=0.4 X 10 m/s for v Galaxy locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A and B are measured on earth, they are not the same and each is different from the emitted frequency of 6.200 X 10¹4 Hz. Find the measured frequency for the light from (a) region A and (b) region B. Earth Problem 37 UT B

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### Problem 37 A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of \( u_G = 1.6 \times 10^6 \) m/s. Relative to the center, the tangential speed is \( v_T = 0.4 \times 10^6 \) m/s for locations \( A \) and \( B \), which are equidistant from the center. When the frequencies of the light coming from regions \( A \) and \( B \) are measured on earth, they are not the same and each is different from the emitted frequency of \( 6.200 \times 10^{14} \) Hz. Find the measured frequency for the light from (a) region \( A \) and (b) region \( B \). #### Explanation of Diagram The diagram accompanying the problem illustrates: 1. A **galaxy** with its center labeled "Galaxy." 2. Two points, **A** and **B**, positioned at equidistant locations from the galaxy center. 3. An arrow labeled **\( u_G \)** pointing upwards from the galaxy indicating the galaxy's receding speed from Earth. 4. Arrows labeled **\( v_T \)** pointing tangentially to the direction of rotation at points A and B, indicating the tangential speed at these points. 5. Earth's position is marked at the bottom with a dashed vertical line connecting to the galaxy center. The arrows and labels help to clarify the relative motions involved: the galaxy is moving away from the Earth while simultaneously rotating, affecting the observed frequencies of light from points A and B.
Transcribed Image Text:### Problem 37 A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of \( u_G = 1.6 \times 10^6 \) m/s. Relative to the center, the tangential speed is \( v_T = 0.4 \times 10^6 \) m/s for locations \( A \) and \( B \), which are equidistant from the center. When the frequencies of the light coming from regions \( A \) and \( B \) are measured on earth, they are not the same and each is different from the emitted frequency of \( 6.200 \times 10^{14} \) Hz. Find the measured frequency for the light from (a) region \( A \) and (b) region \( B \). #### Explanation of Diagram The diagram accompanying the problem illustrates: 1. A **galaxy** with its center labeled "Galaxy." 2. Two points, **A** and **B**, positioned at equidistant locations from the galaxy center. 3. An arrow labeled **\( u_G \)** pointing upwards from the galaxy indicating the galaxy's receding speed from Earth. 4. Arrows labeled **\( v_T \)** pointing tangentially to the direction of rotation at points A and B, indicating the tangential speed at these points. 5. Earth's position is marked at the bottom with a dashed vertical line connecting to the galaxy center. The arrows and labels help to clarify the relative motions involved: the galaxy is moving away from the Earth while simultaneously rotating, affecting the observed frequencies of light from points A and B.
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