The electric motor of a model train accelerates the train from rest to 0.620 m/s in 21.0 ms

# The electric motor of a model train accelerates the train from rest to 0.620 m/s in 21.0 ms

Asked by 3 years ago
393k points

The electric motor of a model train accelerates the train from rest to 0.620 m/s in 21.0 ms.  The total mass of the train is 875 g.  Find the average power delivered to the train during its acceleration.

The electric
bhdrkn

Answered by 3 years ago
389.5k points

The average power delivered to a system is equal to the amount of energy transfer over a period time,

$P=\frac{W}{t}$

The average power delivered to the train is its change in kinetic energy over the time it takes,

$P=\frac{W}{t}=\frac{\frac{1}{2}mv_f^2-\frac{1}{2}mv_i^2}{t}=\frac{\frac{1}{2}(0.875 \, kg)(0.620 \, m/s)^2-\frac{1}{2}(0.875\,kg)(0 \, m/s)^2}{0.021 \, s }=8 \, W$

Z
Answered by 2 years ago
0 points

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