Momentum and Force: When to Use?

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Discussion Overview

The discussion revolves around the concepts of momentum and force, specifically focusing on when to use each in the context of a mass subjected to a force over a period of time. The scope includes theoretical considerations and conceptual clarifications related to physics principles.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant queries the conditions under which momentum should be used versus when force should be applied, presenting a scenario involving a mass and a force applied for a specific duration.
  • Another participant expresses confusion regarding the clarity of the initial question and emphasizes the need for specifying that the force is constant.
  • A third participant explains that momentum is a property retained by an object even after the force ceases, suggesting that momentum should be used to describe the object itself, while force should be used to describe interactions that change the object's motion.
  • A fourth participant elaborates on the relationship between constant force and impulse, presenting a mathematical expression that relates force, impulse, and change in momentum, indicating that a force acting over time results in a change of linear momentum.

Areas of Agreement / Disagreement

Participants express differing views on the clarity of the initial question and the definitions of momentum and force. There is no consensus on a definitive answer regarding when to use momentum versus force, as various interpretations and explanations are presented.

Contextual Notes

Some assumptions regarding the nature of the force (e.g., constancy) and the context of the mass (e.g., whether it is treated as a mass point) are not explicitly stated, which may affect the interpretations of the discussion.

chandran
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let us say there is a mass m. A push is applied at one end for 2seconds. The velocity of the mass changes to v2. So the force applied is
m*v2/2. But momentum is m*v2.

My query is when momentum should be used or has to be used?
 
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I cannot imagine a more vague question. What exactly do you want to know?


P.S. You should have specified that the force applied to the block is a constant force.
 
Momentum is a property of the object,
retained by it even after the Force quits.

Use momentum whenever you want to describe an object.

Use Force when you want to describe an interaction
that changes the motion of an object.

(scold: don't forget the unit "seconds"! Force = m * v2 / (2 )
 
Generally, a constant force applied to a particle (i assume the mass you are talking about is a mass point) during time is defined as the impulse of the force, more precisely [tex]S_{1,2}=\int_{t_{1},t_{2}}{Fdt}=mv_{2}-mv_{1}[/tex], where the velocities, the impulse and the force are all vector quantities. So, you can conclude that a force that acts on a particle in a time interval, results with a change of linear momentum. I think everything should be clear now :)
 

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