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Conservation of Energy

AP Physics 1· difficulty 2/5

A car of mass mm traveling at speed vv brakes to a stop. If the coefficient of kinetic friction is μk\mu_k, the stopping distance (level road) is

  • A

    μkg/(2v2)\mu_k g/(2 v^2)

  • B

    v2/(2μkg)v^2/(2\mu_k g)

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  • C

    2v2/(μkg)2 v^2/(\mu_k g)

  • D

    v/(μkg)v/(\mu_k g)

Explanation

μkmgd=12mv2⇒d=v2/(2μkg)\mu_k m g d = \tfrac{1}{2} m v^2 \Rightarrow d = v^2/(2\mu_k g).

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