Kinetic and Static Friction

AP Physics 1· difficulty 4/5

mg θ

A 5.0 kg block slides down a θ=30°\theta = 30° incline with kinetic friction coefficient μk=0.20\mu_k = 0.20. What is the block's acceleration? Use g=9.8 m/s2g = 9.8\text{ m/s}^2.

  • A

    1.96 m/s²

  • B

    3.20 m/s²

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  • C

    4.90 m/s²

  • D

    2.55 m/s²

Explanation

Down-slope: a=g(sinθμkcosθ)=9.8(0.50.20×0.866)9.8(0.50.1732)9.8(0.3268)3.20 m/s2a = g(\sin\theta - \mu_k \cos\theta) = 9.8(0.5 - 0.20 \times 0.866) \approx 9.8(0.5 - 0.1732) \approx 9.8(0.3268) \approx 3.20\text{ m/s}^2.

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