Question

problem 8:
a car drives in on the road and a deer stops on the road. the driver panics and honks the horn at a frequency of 420 hz. given that the car is headed towards the deer at 26 m/s, find the frequency the deer hears the horn due to the doppler effect.

Explanation:

Step1: Recall the Doppler effect formula

The formula for the Doppler effect when the source is moving towards a stationary observer is \( f'=\frac{v}{v - v_s}f\), where \(v = 343\ m/s\) (speed of sound in air), \(v_s\) is the speed of the source (car), and \(f\) is the original frequency.

Step2: Substitute the given values

We have \(v = 343\ m/s\), \(v_s=26\ m/s\), and \(f = 420\ Hz\). Substituting into the formula:

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Step3: Calculate the value

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Answer:

The frequency the deer hears is approximately \(454.45\ Hz\)