The electric motor of a model train accelerates the train from rest to 0.720 m/s in 29.0 ms. The total mass of the train is 570 g. Find the

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The electric motor of a model train accelerates the train from rest to 0.720 m/s in 29.0 ms. The total mass of the train is 570 g. Find the average power delivered to the train during its acceleration.

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Khang Minh 3 years 2021-08-27T16:50:19+00:00 1 Answers 8 views 0

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  1. Verity
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    2021-08-27T16:52:02+00:00
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    Answer:

    \dot W_{mean} = 5.094\, W

    Explanation:

    The average power is ratio of change in kinetic energy to time required to accelerate. Changes in potential energy are neglected. That is:

    \dot W_{mean} = \frac{\Delta K}{\Delta t}

    \dot W_{mean} = \frac{\frac{1}{2}\cdot m \cdot v_{f}^{2}}{\Delta t}

    \dot W_{mean} = \frac{\frac{1}{2}\cdot (0.57\,kg)\cdot (0.720\,\frac{m}{s} )^{2} }{29\times 10^{-3}\,s}

    \dot W_{mean} = 5.094\, W

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