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A locomotive approaching a crossing at a...

A locomotive approaching a crossing at a speed of 80 mi/h sounds a whistle of frequency 400 Hz when 1 mi from the crossing. There is no wind, and the speed of sound in air is 0.200mi/s. What frequency is heard by an observer 0.60 mi from the crossing on the straight road which crosses the railroad at right angles?

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To solve the problem, we need to determine the frequency of the whistle heard by an observer located at a distance from the crossing, while the locomotive is moving towards the crossing. We will use the Doppler effect formula for sound waves. ### Step-by-Step Solution: 1. **Identify the Given Values:** - Speed of the locomotive (source), \( V_s = 80 \) mi/h - Frequency of the whistle (source frequency), \( f_0 = 400 \) Hz - Distance from the locomotive to the crossing, \( d_s = 1 \) mi ...
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