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You are standing 1000 m from the point w...

You are standing 1000 m from the point where a steel block strikes the sidewalk. How long will It take the sound to reach your ears if the speed of sound in air at `0^@` C is about 333 m/sec. ?

A

3 seconds

B

2 seconds

C

1 second

D

5 seconds.

Text Solution

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The correct Answer is:
To solve the problem of how long it will take for the sound to reach your ears after a steel block strikes the sidewalk, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Values:** - Distance from the point of impact: \( d = 1000 \) meters - Speed of sound in air at \( 0^\circ C \): \( v = 333 \) meters/second 2. **Use the Formula for Time:** The formula to calculate time when distance and speed are known is: \[ t = \frac{d}{v} \] where: - \( t \) is the time, - \( d \) is the distance, - \( v \) is the speed. 3. **Substitute the Values into the Formula:** \[ t = \frac{1000 \text{ m}}{333 \text{ m/s}} \] 4. **Perform the Calculation:** \[ t \approx 3.003 \text{ seconds} \] 5. **Round the Result:** Since we are typically interested in whole seconds for practical purposes, we can round this to: \[ t \approx 3 \text{ seconds} \] ### Final Answer: It will take approximately **3 seconds** for the sound to reach your ears. ---

To solve the problem of how long it will take for the sound to reach your ears after a steel block strikes the sidewalk, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Values:** - Distance from the point of impact: \( d = 1000 \) meters - Speed of sound in air at \( 0^\circ C \): \( v = 333 \) meters/second ...
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