Suppose a radar gun sends out radio waves with a frequency of 2,000,000.0 Hz. The waves bounce off a moving car and return with a frequency

Question

Suppose a radar gun sends out radio waves with a frequency of 2,000,000.0 Hz. The waves bounce off a moving car and return with a frequency of 2,000,000.2 Hz. If the speed of light is 300,000,000 m/s, what is the velocity of the car

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Thu Hương 6 months 2021-07-29T00:31:41+00:00 1 Answers 12 views 0

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    2021-07-29T00:32:44+00:00

    Answer:

    300,000,030m/s

    Explanation:

    Using the relationship between frequency and speed of a wave;

    F ∝ V

    F = kV

    k = F/V

    F1/V1 = F2/V2 = k

    Let F1 be the frequency of the radio wave = 2,000,000.0Hz

    V1 be the speed of light = 300,000,000m/s

    F2 = frequency produced by the car = 2,000,000.2Hz

    V2 be the velocity of the moving car

    Substituting this values in the equation above;

    2,000,000/300,000,000 = 2,000,000.2/V2

    Cross multiplying

    2,000,000V2 = 300,000,000×2,000,000.2

    2V2 = 300×2,000,000.2

    V2 = 150×2,000,000.2

    V2 = 300,000,030m/s

    The velocity of the car is 300,000,030m/s

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