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Kinetic and Static Friction

AP Physics 1· difficulty 4/5

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A block of mass mm slides down a rough incline of angle θ\theta with kinetic friction coefficient μk\mu_k. What is the magnitude of the block's acceleration along the incline?

  • A

    gsin⁡θ−μkgg\sin\theta - \mu_k g

  • B

    μkgcos⁡θ\mu_k g \cos\theta

  • C

    g(sin⁡θ−μkcos⁡θ)g(\sin\theta - \mu_k\cos\theta)

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  • D

    g(sin⁡θ+μkcos⁡θ)g(\sin\theta + \mu_k\cos\theta)

Explanation

Along the incline, ma=mgsin⁡θ−μkmgcos⁡θma = mg\sin\theta - \mu_k mg\cos\theta. Solving gives a=g(sin⁡θ−μkcos⁡θ)a = g(\sin\theta - \mu_k\cos\theta).

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