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It takes a force of 53 kN on the lead car of a 16-car

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 97P Chapter 6

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 97P

It takes a force of 53 kN on the lead car of a 16-car passenger train with mass 9.1 × 103 kg to pull it at a constant 45 m/s (101 mi/h) on level tracks. (a) What power must the locomotive provide to the lead car? (b) How much more power to the lead car than calculated in part (a) would be needed to give the train an acceleration of 1.5 m/s2, at the instant that the train has a speed of 45 m/s on level tracks? (c) How much more power to the lead car than that calculated in part (a) would be needed to move the train up a 1.5% grade (slope angle ??? = arctan 0.015) at a constant 45 m/s?

Step-by-Step Solution:

Solution 97P Introduction We have to calculate the power required to pull the car with an constant velocity. We also have to calculate the power required to accelerate the car. Step 1 The force required to pull the car is F = 53 kN. The velocity of the car is v = 45 m/s. Hence the power required to pull the car is Step 2 3 The mass of the car is m = 9.1 × 10 kg. And the acceleration of the car is a = 1.5 m/s . Hence the force required to accelerate the car is Hence the total force required to accelerate the car is Hence the required power is So the power required to accelerate the train is 2.98 MW.

Step 3 of 3

Chapter 6, Problem 97P is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Since the solution to 97P from 6 chapter was answered, more than 414 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 97P from chapter: 6 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: Car, train, lead, power, needed. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “It takes a force of 53 kN on the lead car of a 16-car passenger train with mass 9.1 × 103 kg to pull it at a constant 45 m/s (101 mi/h) on level tracks. (a) What power must the locomotive provide to the lead car? (b) How much more power to the lead car than calculated in part (a) would be needed to give the train an acceleration of 1.5 m/s2, at the instant that the train has a speed of 45 m/s on level tracks? (c) How much more power to the lead car than that calculated in part (a) would be needed to move the train up a 1.5% grade (slope angle ??? = arctan 0.015) at a constant 45 m/s?” is broken down into a number of easy to follow steps, and 124 words.

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