Asked by bhdrkn 3 years ago

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 lancer 3 years ago

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 $

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Asked: 3 years ago