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3 July, 00:12

A 1200 Kg car rounds a corner of radius r = 45m. If the coefficient of static friction between the ties and the road is us = 0.82, what is the greatest speed the car can have in the corner without skidding?

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  1. 3 July, 00:14
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    The greatest speed of the car is 19.36m/s

    Explanation:

    The maximum speed the car will attain without skidding is given by:

    F = uN = umg ... eq1

    But F = mv^2/r

    mv^2/r = umg

    Dividing both sides by m, leaves you with:

    V = Sqrt (ugr)

    Where u = coefficient of static friction

    g = acceleration due to gravity

    r = raduis

    Given:

    U = 0.82

    r=0.82

    g = 9.8m/s

    V = Sqrt (0.82 * 9.8 * 45)

    V = Sqrt (374.85)

    V = 19.36m/s
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