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Conservation of Energy

AP Physics 1· difficulty 3/5

A block slides down a frictionless ramp of height h=5 mh = 5~\text{m} onto a horizontal surface where μk=0.20\mu_k = 0.20. Using g≈10 m/s2g \approx 10~\text{m/s}^2, how far does it slide on the flat surface before stopping?

  • A

    10 m10~\text{m}

  • B

    50 m50~\text{m}

  • C

    100 m100~\text{m}

  • D

    25 m25~\text{m}

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Explanation

KE at bottom: mghm g h. Friction work: μkmgd=mgh\mu_k m g d = m g h ⇒d=h/μk=5/0.20=25 m\Rightarrow d = h/\mu_k = 5/0.20 = 25~\text{m}.

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