Mathematics: Two train whistles have identical frequencies of 180 hz. when one train is at rest in the station, sounding its whistle, a beat frequency of 3.7 hz is heard from a train moving toward us. find the speed of the train. (take the speed of sound to be 345 m/s.)

ExplanationSolve for x-term when g(x) = 5. Substitute g(x) = 5 in the equation.Solve for the x-term. Answer CheckSubstitute x = -2 in the equation.The equation is true. Therefore x = -2 is the answer. Answerx = -2...

Two train whistles have identical frequencies of

Ответ:

mmm119

13.01.2022

Mathematics

7 m/s

Step-by-step explanation:

We are given that

Frequency at stationary = f_0=180Hz

Beat frequency=3.7 Hz

Apparent frequency= f=180+3.7=183.7Hz

Speed of sound=v=345 m/s

We have to find the speed of train

Apparent frequency= $f=f_0(\frac{v}{v-v_s})$

Substitute the values then we get

$183.7=180(\frac{345}{345-v_s})$

$345-v_s=\frac{180\times 345}{183.7}$

345-v_s=338

v_s=345-338=7 m/s

Hence, the speed of train=7 m/s

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Ответ:

ghopk5929

31.05.2023

Mathematics

ExplanationSolve for x-term when g(x) = 5. Substitute g(x) = 5 in the equation.

$g(x) = - 2x + 1 \\ 5 = - 2x + 1$

Solve for the x-term.

$2x = - 5 + 1 \\ 2x = - 4 \\ x = \frac{ - 4}{2} \\ x = \frac{ \cancel{ - 4} \: \: \: - 2}{ \cancel{2} \: \: \: 1} \Longrightarrow \: \frac{ - 2}{1} \\ x = - 2$

Answer Check

Substitute x = -2 in the equation.

$5 = - 2( - 2) + 1 \\ 5 = 4 + 1 \\ 5 = 5$

The equation is true. Therefore x = -2 is the answer.

Answer

x = -2

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Two train whistles have identical frequencies of 180 hz. when one train is at rest in the station, sounding its whistle, a beat frequency of 3.7 hz is heard from a train moving toward us. find the speed of the train. (take the speed of sound to be 345 m/s.)

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