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Calculate the maximum acceleration of a car that is

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 14PE Chapter 5

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 14PE

Calculate the maximum acceleration of a car that is heading up a 4º slope (one that makes an angle of 4º with the horizontal) under the following road conditions. Assume that only half the weight of the car is supported by the two drive wheels and that the coefficient of static friction is involved—that is, the tires are not allowed to slip during the acceleration. (Ignore rolling.) (a) On dry concrete. (b) On wet concrete. (c) On ice, assuming that μs = 0.100 , the same as for shoes on ice.

Step-by-Step Solution:

Solution 14PE

We are required to calculate the maximum acceleration of the car under different road conditions.

Step 1of 2

Let us resolve the forces acting on the car and to do this let draw a figure as shown below.

 

We are required to consider half the weight of the car here. If the car has to keep moving up the inclined plane, the force upward the plane must be greater than the downward force  

The maximum force in this case is given by,

…..(1)

Maximum acceleration  

Step 2 of 2

Chapter 5, Problem 14PE is Solved
Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

This full solution covers the following key subjects: acceleration, Car, concrete, ice, assuming. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. The full step-by-step solution to problem: 14PE from chapter: 5 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. Since the solution to 14PE from 5 chapter was answered, more than 284 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: College Physics , edition: 1. College Physics was written by and is associated to the ISBN: 9781938168000. The answer to “Calculate the maximum acceleration of a car that is heading up a 4º slope (one that makes an angle of 4º with the horizontal) under the following road conditions. Assume that only half the weight of the car is supported by the two drive wheels and that the coefficient of static friction is involved—that is, the tires are not allowed to slip during the acceleration. (Ignore rolling.) (a) On dry concrete. (b) On wet concrete. (c) On ice, assuming that ?s = 0.100 , the same as for shoes on ice.” is broken down into a number of easy to follow steps, and 91 words.

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