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26 January, 18:40

Runner whose weight is 800 N wishes to accelerate at 5m/s^2 what minimum coefficient of friction is required for her to accelerate without slipping?

A) 0.25

B) 0.50

C) 0.30

D) 0.40

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Answers (1)
  1. 26 January, 18:50
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    B) 0.50

    Explanation:

    Draw a free body diagram. There are three forces: weight force mg down, normal force N up, and friction force Nμ forward.

    Sum of forces in the y direction:

    ∑F = ma

    N - mg = 0

    N = mg

    Sum of forces in the x direction:

    ∑F = ma

    Nμ = ma

    mgμ = ma

    gμ = a

    μ = a / g

    μ = (5 m/s²) / (10 m/s²)

    μ = 0.50
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