Kinetic and Static Friction

AP Physics 1· difficulty 2/5

A 2 kg2~\text{kg} block sits on a 2020^\circ incline with μs=0.50\mu_s = 0.50. Will the block slide on its own? (Use g10 m/s2g \approx 10~\text{m/s}^2.)

  • A

    Cannot be determined without more information.

  • B

    No — static friction can hold it.

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  • C

    Only if pushed.

  • D

    Yes, with a>0a > 0.

Explanation

tan200.36<μs=0.50\tan 20^\circ \approx 0.36 < \mu_s = 0.50, so static friction can support the block. (Slipping requires tanθ>μs\tan\theta > \mu_s.)

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