AP Physics C Mechanics · Question of the Day

AP Physics C Mechanics Question of the Day

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Monday, September 7, 2026

A ball is sliding on a rough horizontal surface such that its center of mass speed vcmv_{cm} is greater than RωR\omega, where RR is the ball's radius and ω\omega is its angular speed. Which statement describes the effect of the kinetic friction force on the ball?

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A ball is sliding on a rough horizontal surface such that its center of mass speed vcmv_{cm} is greater than RωR\omega, where RR is the ball's radius and ω\omega is its angular speed. Which statement describes the effect of the kinetic friction force on the ball?

  1. The friction force is in the forward direction, increasing vcmv_{cm} and decreasing ω\omega.
  2. The friction force is in the backward direction, decreasing vcmv_{cm} and increasing ω\omega. (correct answer)
  3. The friction force is in the backward direction, decreasing both vcmv_{cm} and ω\omega.
  4. The friction force is in the forward direction, increasing both vcmv_{cm} and ω\omega.

Explanation: Since the ball is sliding, the point of contact is moving forward relative to the surface. The kinetic friction force opposes this relative motion, so it acts in the backward direction. This backward force creates a net force that decreases the translational speed vcmv_{cm}. This force also creates a torque about the center of mass that increases the angular speed ω\omega. This continues until vcm=Rωv_{cm} = R\omega and the ball rolls without slipping.