A train whistle is heard at 280 Hz as the train approaches town. The train cuts its speed in half as it nears the station, and the sound of the whistle is then 270 Hz.

Respuesta :

v=   19.60   m/s   (Speed before train slowing down)

v= 9.80  m/s       Speed after train slowing down

Given:

  • Train whistle,=280 Hz
  • Sound of whistle,= 270 Hz
  • Speed of sound=   343 m/s

Now,

→ 270= F×[tex]\frac{343}{343-v}[/tex]......equation 1

→ 280= F×[tex]\frac{343}{343-\frac{v}{2} }[/tex].....equation 2

After dividing "equation 1" by "equation 2", we get

→ [tex]\frac{280}{270} =\frac{343-\frac{v}{2} }{343-v}[/tex]

By applying cross-multiplication, we get

→ 1.0370(343-v) =343-[tex]\frac{v}{2}[/tex]

→ 353.39-1.030 v= 343-0.5 v

  353.39-343 = 1.03 v-0.5 v

        10.39 =         0.53  v

       v= [tex]\frac{10.39}{0.53}[/tex]              

v=   19.60   m/s   (Speed before train slowing down)

                                       

hence,

Speed after train slowing down will be:

= [tex]\frac{v}{2}[/tex]

= [tex]\frac{19.60}{2}[/tex]

= 9.80  m/s

Thus the responses above are correct.

What is speed with example?

Speed is a way of measuring how quickly something is moving or being done, or something moving fast. An example of speed is a car being driven 45 miles per hour. An example of speed is someone cleaning a room in 10 minutes. An example of speed is how quickly a jaguar run

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