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21 March, 15:27

The goose has a mass of 19.2 lb (pounds) and is flying at 7.10 miles/h (miles per hour). What is the kinetic energy of the goose in joules? Enter your answer numerically in joules.

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  1. 21 March, 18:34
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    43.868 J

    Explanation:

    Kinetic energy of a body is the amount of energy possessed by a moving body. The SI unit of kinetic energy is the joule (kg⋅m²⋅s⁻²).

    According to classical mechanics, kinetic energy = 1/2 m·v²

    Where, m = mass in kg and v = velocity in m/s

    Given: m = 19.2 lb and v = 7.10 miles/h

    Since, 1 lb = 0.453592 kg

    ∴ m = 19.2 lb = 19.2 * 0.453592 kg = 8.709 kg

    Also, 1 mi = 1609.34 m and 1 h = 3600 sec

    ∴ v = 7.10 mi/h = 7.10 * 1609.34 m : 3600 sec = 3.174 m/sec

    Therefore, kinetic energy of the goose = 1/2 m·v² = 1/2 * (8.709 kg) * (3.174 m/sec) ² = 43.868 J
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