15. You are watching a baseball game on television that 15 being broadcast from 4500 km away. The batter hits the ba

Question

15. You are watching a baseball game on television that 15

being broadcast from 4500 km away. The batter hits

the ball with a loud “crack” of the bat. A microphone

is located 22 m from the batter, and you are 2.0 m from

the television set. On a day when sound travels 343 m/s

in air, what is the minimum time it takes for you to hear

the crack of the bat after the batter hits the ball?

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Khánh Gia 13 hours 2021-07-22T05:59:29+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-22T06:00:36+00:00

    Answer:

    t_total = 6.99 s

    Explanation:

    It asks us how long it takes to hear the sound, for this we must look for the time (t₁) it takes for the sound to reach the microphone, the time it takes for the video signal (t₂) to reach the television and the time (₃) it takes for the TV sound to reach us, so the total delay time is

             t_total = t₁ + t₂ + t₂

    we look for t1, it indicates that the distance x = 22m

              v = x / t

               t = x / v

               t₁ = 22/343

               t₁ = 6.41 10-2 s

    time t₂

              t₂ = 4500 103/3 108

              t₂ = 1.5 10-5 s

    time t₃

              t₃ = 2/343

              t₃ = 5.83 10⁻³

    Total time is

             t_total = t₁ + t₂ + t₃

             t_total = 6.41 10⁻² + ​​1.5 10⁻⁵ + 0.583 10⁻²

             t_total = 6.99 s

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