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# the maximum acceleration of a car that is heading up a 4º ISBN: 9780130606204 3

## Solution for problem 14PE Chapter 5

Physics: Principles with Applications | 6th Edition

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Problem 14PE

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.

Step-by-Step Solution:

Step-by-step solution Step 1 of 6 The free body diagram of the inclined plane is, Resolve the horizontal and vertical components of weight, Here is the mass, is the coefficient of static friction and is the normal force. Step 2 of 6 The first two wheel are driving wheel so the first two wheels are holding the statics friction and pull the car up. The normal half of the weight of the car is acting on the front two wheels. Balance the forces in the direction, The normal force acting on the first two wheels Step 3 of 6 Balance the forces in the direction, In y axis there is acceleration so we will write the Newton’s first law. The static friction force under the two driving tires pulling the object up is taken positive.

Step 4 of 6

Step 5 of 6

##### ISBN: 9780130606204

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