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Points Possible: 1, Points Correct: 0 Next If a train is 100 kilometers away, how much sooner would you hear the train coming by listening to the rails (iron) as opposed to listening for it standing by the track? In other words, how much faster will the sound travel through the iron rails than through the air? Assume the air temperature is 0°C. Sound will reach you seconds sooner.

Respuesta :

Answer:

[tex]t_{air} - t_{iron} = 282.17 sec[/tex]

Explanation:

The distance covered = 100 km = 100,000 m

The speed of sound in iron, [tex]v_{iron}[/tex] = 5130 m/s

The speed of sound in air at 0° C, [tex]v_{air}[/tex]= 331.5°C

Speed = distance/time

Time = Distance /speed

[tex]t_{iron} = \frac{d_{iron} }{v_{iron} } \\t_{iron} = 100000/5130\\t_{iron} = 19.49 sec[/tex]

[tex]t_{air} = \frac{d_{air} }{v_{air} } \\t_{air} = 100000/331.5\\t_{air} =301.66 sec[/tex]

[tex]t_{air} - t_{iron} = 301.66 - 19.49\\ t_{air} - t_{iron} = 282.17 sec[/tex]

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