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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Physics

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18 June, 23:40

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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Hubbard · Answer 1

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.