Which of the above forces is (are) acting on the ball when it is within the frictionless channel at position "q"?

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The accompanying figure shows a frictionless channel in the shape of a segment of a circle with center at "O". The channel has been anchored to a frictionless horizontal tabletop. You are looking down at the table. Forces exerted by the air are negligible. A ball is shot at high speed into the channel at "p" and exits at "r."

Consider the following distinct forces:

  1. A downward force of gravity.
  2. A force exerted by the channel pointing from q to O.
  3. A force in the direction of motion.
  4. A force pointing from O to q.

 

 

Which of the above forces is (are) acting on the ball when it is within the frictionless

channel at position "q"?

The diagram illustrates a circular arc centered around point \(O\), resembling a portion of a circle. Three labeled points—\(P\), \(Q\), and \(R\)—are positioned along this arc. Each point is marked with a circle containing an "X" and a dot, likely indicating a vector pointing into the plane (commonly used to denote magnetic field or current direction, where the "X" represents the tail of an arrow).

A counter-clockwise arrow is positioned near point \(P\), suggesting the direction of motion or flow along the arc. The arc is open-ended, not forming a complete circle, and the lines from the points appear to be tangential to the circular path, indicating potential flow directions or forces at play.

This diagram can serve as a model to explain various physical phenomena, such as magnetic field direction, current flow in a wire, or forces acting in a circular motion context. Understanding each symbol's meaning in relation to vector direction is critical for interpreting the diagram accurately in an educational setting.
Transcribed Image Text:The diagram illustrates a circular arc centered around point \(O\), resembling a portion of a circle. Three labeled points—\(P\), \(Q\), and \(R\)—are positioned along this arc. Each point is marked with a circle containing an "X" and a dot, likely indicating a vector pointing into the plane (commonly used to denote magnetic field or current direction, where the "X" represents the tail of an arrow). A counter-clockwise arrow is positioned near point \(P\), suggesting the direction of motion or flow along the arc. The arc is open-ended, not forming a complete circle, and the lines from the points appear to be tangential to the circular path, indicating potential flow directions or forces at play. This diagram can serve as a model to explain various physical phenomena, such as magnetic field direction, current flow in a wire, or forces acting in a circular motion context. Understanding each symbol's meaning in relation to vector direction is critical for interpreting the diagram accurately in an educational setting.
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