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Brrunno [24]
3 years ago
7

While sitting in your car by the side of a country road, you see your friend, who happens to have an identical car with an ident

ical horn, approaching you. You blow your horn, which has a frequency of 260 Hz; your friend begins to blow his horn as well, and you hear a beat frequency of 6.0Hz .
How fast is your friend approaching you?

Express your answer to two significant figures and include the appropriate units.
Physics
1 answer:
arsen [322]3 years ago
7 0

Answer:

         v_s =7.74\ m/s

Explanation:

given,

Speed of sound = 343 m/s

frequency of horn = 260 Hz

the friend is approaching, the frequency is increased by the Doppler Effect. The frequency is 266 Hz

using formula

         f' = \dfrac{v}{v-v_s}f_0

         266= \dfrac{343}{343 - v_s}(260)

         1.023= \dfrac{343}{343 - v_s}

         343 - v_s = 335.26

         v_s =7.74\ m/s

the speed of friends approaching is equal to v_s =7.74\ m/s

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