Question:A ball moves in the direction of the arrow labelled in Figure. The ball is struck by a stick that briefly exerts a force on the ball in the direction of the arrow labelled. Which arrow best describes the direction of, the change in the ball's momentum?

Short Answer

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Answer

The correct direction of the ball's momentum change ise.

Step by step solution

01

Understanding the action of force applied perpendicularly on a moving object

When a body moves in a specific direction at a specific velocity and an external force acts on it in a perpendicular direction to its motion, the body's speed remains constant but its direction of motion changes.

02

Representation of the situation diagrammatically

  • The body's motion is circular in this case, and the velocity vector is always tangential to the circular path on which it moves.
  • In this example, a force acted on the body in an inward direction, which is responsible for the body's circular trajectory.
  • The direction of velocity change is the same as the direction of momentum change.
  • The force applied by the stick and the ball's initial velocity is depicted in the diagram below as,

03

Representation of an arrow describing the change in ball’s momentum

  • The ball moves in the direction of, whereas the force moves in the direction of.
  • As a result, the direction of acceleration is along, and the change in velocity direction is also along.
  • The direction of change in velocity is the same as the direction of change in momentum, as it is well known. As a result, momentum will flow in the direction of.
  • As a result, the right direction of the ball's momentum change ise.

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Figure 23.125

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