Kinetic and Static Friction

AP Physics 1· difficulty 3/5

For the block in the previous problem (3030^\circ, μs=0.20\mu_s = 0.20, μk=0.20\mu_k = 0.20 — equal here), after stopping at the top of its slide will it remain at rest?

  • A

    Cannot be determined.

  • B

    No — gravity component exceeds maximum static friction.

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  • C

    Yes — static friction holds it.

  • D

    Only if disturbed.

Explanation

Slip threshold: tanθ<μs\tan\theta < \mu_s. Here tan300.58>0.20\tan 30^\circ \approx 0.58 > 0.20, so static friction is insufficient — block slides back.

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