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

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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