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PHYSICS TEXTBOOK: GIANCOLI VOLUME 1 CHAPTER 4 PROBLEM 39 The problem asks: \"Wha

ID: 1753285 • Letter: P

Question

PHYSICS TEXTBOOK: GIANCOLI VOLUME 1 CHAPTER 4 PROBLEM 39 The problem asks: "What is the maximum acceleration a car can undergo if thecoefficient of static friction between the tires and the ground is.80?" this is my free body diagram: As you can see i labeled my x and y axis so y up is postiveand x to the right is postive. When i try to find the sum of Fy i get: FN-mg=0 FN=mg Then Fx would be= F-fr=ma F-FN=ma F-mg=ma HOWEVER the online help only uses FN=ma It does not consider F which is the force of the carmoving. (I hope this makes sense!) I know that i have the wrong answer but i want to know why itisnt F-fr=ma. If possible can you list all the steps you use because i willget confused if you skip steps! My exam is on monday and i would really appreciate your help!THANK YOU!

Explanation / Answer

The question is asking for the maximum acceleration without the carbeginning to slip. It says nothing about adding an extra externalForce F like you added. The force of friction is causing the car toaccelerate (decelerate if you want to say it that way) In the x direction we have ma=mg (1) so a=g if the acceleration is greater than this value, the left hand sidewill be greater than the right hand side in equation (1) and thetires will begin to slip since the right had side cannot get anybigger to equal out the increase in a.