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Grade 11Mechanics

Suppose that only the rear wheels of an automobile can accelerate it, and that half the total weight of the automobile is supported by those wheels. (a) What is the maximum acceleration attainable if the coefficient of static friction between tires and road is src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAAaCAIAAADaPfBTAAAAmElEQVQ4je2TwQ3DMAhF/1wMxDxMwzIM4x4QBNOaqL1VCjeMH7w4NtavgYd8yE6aEMB6SAfShAASi1x5Swey7VTGOPIiv3Qt5IeRk+tF7jtN6MY1yV1OGR30JQ8voBR8pjJYopEyiS0TSiFfSVIZRFQ6um7OVX53R7jOHxWtyqHdivPKEJ4t19wdMKIqd7NeuRT3VavZf7/MFoL0ihHI+5awAAAAASUVORK5CYII=? (b) Take src=data:image/png;base64,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 and get a numerical value for this acceleration.

Profile image of Simran Bhatia
11 Years agoGrade 11
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1 Answer

Profile image of Aditi Chauhan
11 Years ago
(a) The maximum acceleration of the car is given as:
236-1947_1.PNG
Here g is the acceleration due to gravity and μs is the coefficient of static friction.

236-927_1.PNG
Therefore the maximum acceleration of the automobile is 2.74 m/s2.