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Kinetic and Static Friction

AP Physics 1· difficulty 3/5

A block slides down a 30∘30^\circ incline with μk=0.10\mu_k = 0.10. Using g≈10 m/s2g \approx 10~\text{m/s}^2, its acceleration along the incline is

  • A

    0 m/s20~\text{m/s}^2

  • B

    8.7 m/s28.7~\text{m/s}^2

  • C

    5.0 m/s25.0~\text{m/s}^2

  • D

    4.1 m/s24.1~\text{m/s}^2

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Explanation

a=g(sin⁡θ−μkcos⁡θ)=10(0.5−0.10⋅0.866)≈10(0.413)=4.1 m/s2a = g(\sin\theta - \mu_k \cos\theta) = 10(0.5 - 0.10 \cdot 0.866) \approx 10(0.413) = 4.1~\text{m/s}^2.

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