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30 September, 22:30

A car is rounding a 100-m-radius curve at 25 m/s. What is the minimum possible coefficient of static friction between the tires and the ground?

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  1. 30 September, 22:41
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    The minimum possible coefficient of static friction between the tires and the ground is 0.64.

    Explanation:

    if the μ is the coefficient of static friction and R is radius of the curve and v is the speed of the car then, one thing we know is that along the curve, the frictional force, f will be equal to the centripedal force, Fc and this relation is:

    Fc = f

    m * (v^2) / (R) = μ*m*g

    (v^2) / (R) = g*μ

    μ = (v^2) / (R*g)

    = ((25) ^2) / ((100) * (9.8))

    = 0.64

    Therefore, the minimum possible coefficient of static friction between the tires and the ground is 0.64.
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