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30 December, 08:59

A curve of radius 40 m is banked so that a 1100 kg car traveling at 40 km/h can round it even if the road is so icy that the coefficient of static friction is approximately zero. The acceleration of gravity is 9.81 m/s 2. θ Find the minimum speed at which a car can travel around this curve without skidding if the coefficient of static friction between the road and the tires is 0.2. Answer in units of m/s.

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  1. 30 December, 09:20
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    9.43 m/s

    Explanation:

    r = 40 m

    v = 40 km/h = 40 x 5 / 18 = 11.11 m/s

    g = 9.81 m/s^2

    μ = 0.2

    Let the minimum speed is v. By using the formula

    v² = μ r g

    v² = 0.2 x 40 x 11.11 = 88.88

    v = 9.43 m/s

    Thus, the minimum speed at which the car travel without skidding is 9.43 m/s.
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