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Circular Motion

AP Physics 1· difficulty 4/5

A car traveling at 20 m/s rounds a flat curve of radius 80 m. The minimum coefficient of static friction needed is (g=10g = 10 m/s²)

  • A

    0.25

  • B

    0.50 (μs=v2/(gR)\mu_s = v^2/(gR))

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  • C

    0.10

  • D

    0.80

Explanation

Friction provides centripetal force: μsmg=mv2/R\mu_s mg = mv^2/R. μs=v2/(gR)=400/(10⋅80)=0.50\mu_s = v^2/(gR) = 400/(10 \cdot 80) = 0.50.

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