Answered: A model train powered by an electric…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A model train powered by an electric motor accelerates from rest to 0.600 m/s in 26.0 ms. The total mass of the train is 670 g. What is the average power (in W) delivered to the train by the motor during its acceleration?

Expert Solution

Step 1

The initial velocity of the train v=0 m/s

The final velocity of the train v=0.600 m/s

The time taken for the velocity change t=26.0 ms= $26 \times 10^{- 3} s$

The mass of the train m=670 kg

The change in kinetic energy of the train is

$∆ E = \frac{1}{2} {mv}^{2} - \frac{1}{2} {mu}^{2} ∆ E = \frac{1}{2} {mv}^{2} - 0 ∆ E = \frac{1}{2} {mv}^{2}$

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A model train powered by an electric motor accelerates from rest to 0.640 m/s in 22.0 ms. The total mass of the train is 620 g. What is the average power (in W) delivered to the train by the motor during its acceleration?

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