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Get Full Access to College Physics - 1 Edition - Chapter 5 - Problem 13pe
Get Full Access to College Physics - 1 Edition - Chapter 5 - Problem 13pe

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# Calculate the maximum deceleration of a car that is

ISBN: 9781938168000 42

## Solution for problem 13PE Chapter 5

College Physics | 1st Edition

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Problem 13PE

Problem 13PE

Calculate the maximum deceleration of a car that is heading down a 6º slope (one that makes an angle of 6º with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the coefficient of static friction is involved—that is, the tires are not allowed to slip during the deceleration. (Ignore rolling.) Calculate for a car: (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 13PE

Let us take the positive x- direction down the slope. The maximum deceleration of the car heading down a slope can be calculated by finding the  net force Fx and using Newton’s second

law of motion. The free body diagram is as shown in the figure below

a.)

Step 1 of 4

The net force

Where, angle of inclination = 6o , g = acceleration due to gravity = 9.8 m/s2, s= coefficient of static friction between the tyre (rubber) and the road (concrete).

So, the maximum deceleration is ,

Step 2 of 4

Step 3 of 4

##### ISBN: 9781938168000

The answer to “Calculate the maximum deceleration of a car that is heading down a 6º slope (one that makes an angle of 6º with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the coefficient of static friction is involved—that is, the tires are not allowed to slip during the deceleration. (Ignore rolling.) Calculate for a car: (a) On dry concrete. (b) On wet concrete. (c) On ice, assuming that µs = 0.100 , the same as for shoes on ice.” is broken down into a number of easy to follow steps, and 95 words. This textbook survival guide was created for the textbook: College Physics , edition: 1. This full solution covers the following key subjects: Car, deceleration, ice, tires, concrete. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. College Physics was written by and is associated to the ISBN: 9781938168000. Since the solution to 13PE from 5 chapter was answered, more than 1765 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 13PE from chapter: 5 was answered by , our top Physics solution expert on 07/07/17, 04:39PM.

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