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25 July, 02:44

The electric motor of a model train accelerates the train from rest to 0.740 m/s in 30.0 ms. The total mass of the train is 560 g. Find the average power delivered to the train during its acceleration.

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  1. 25 July, 03:49
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    = 5.1 W

    Explanation:

    time (t) = 30 ms = 0.03 s

    mass (m) = 560 g = 0.56 kg

    initial velocity (U) = 0 m/s

    final velocity (V) = 0.74 m/s

    power = / frac{work done}{t} = / frac{f x d}{t} = f x v = m x a x v

    m x a x v = m x / frac{V-U}{t} x / frac{V + U}{2}

    m x / frac{V-U}{t} x / frac{V + U}{2} = 0.56 x / frac{0.74 - 0}{0.03} x / frac{0.74+0}{2}

    = 5.1 W
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