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1 January, 08:02

What is the maximum speed at which a car can safely travel around a circular track of radius 75.0 m if the coefficient of friction between the tire and road is 0.200?

A) 3.87 m/s

B) 12.1 m/s

C) 15.0 m/s

D) 147 m/s

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Answers (1)
  1. 1 January, 09:24
    0
    B) 12.1 m/s

    Explanation:

    Sum of the forces in the y direction:

    ∑F = ma

    N - mg = 0

    N = mg

    Sum of the forces in the radial direction:

    ∑F = ma

    F = m v² / r

    Nμ = m v² / r

    Substituting and solving for v:

    mgμ = m v² / r

    gμ = v² / r

    v = √ (gμr)

    Given that μ = 0.200 and r = 75.0 m:

    v = √ (9.81 m/s² * 0.200 * 75.0 m)

    v = 12.1 m/s
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