Part A
Who will hear the voice of a singer first: a person in the balcony 47.0m away from the stage , or a person 1200 km away at home whose ear is next to the radio listening.
next to radio
Correct
Part B(please answer)
How much sooner? Assume that the microphone is a few centimeters from the singer and the temperature is 20?C (speed of sound is 343 m/s).
To start, find the time it takes to get from the person in the balcony. Because speed of sound is 343 m/s you know that will be your velocity. So you use the equation V=d/t. The time it will take is about 47/343=.13 seconds.
To find how long it takes for the person at the radio. The distance need to be converted to meters and in doing so, your distance is 1,200,000 meters. You also know the speed of light, C, is 3x10^8. So you plug use the equation C=d/t. T= 1,200,000/(3*10^8)=.004 seconds.
You then subtract the two ansers: .13-.004=.126 seconds
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