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Circular Motion

AP Physics 1· difficulty 4/5

A car rounds a flat (unbanked) curve of radius R=50 mR = 50\text{ m}. The static friction coefficient is μs=0.60\mu_s = 0.60. What is the maximum speed without skidding? Use g=9.8 m/s2g = 9.8\text{ m/s}^2.

  • A

    22.0 m/s

  • B

    12.4 m/s

  • C

    9.8 m/s

  • D

    17.1 m/s

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Explanation

Friction supplies centripetal force: μsmg=mv2/R\mu_s m g = m v^2/R, so v=μsgR=0.60×9.8×50=294≈17.1 m/sv = \sqrt{\mu_s g R} = \sqrt{0.60 \times 9.8 \times 50} = \sqrt{294} \approx 17.1\text{ m/s}.

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